Write the equation of the line that goes through the point
(5,8) and is parallel to the x-axis.

Answers

Answer 1

Answer:

Y=8

Step-by-step explanation:

If it's a line that is parallel to the x-axis, and you know the equation of a line is y=mx+b, the slope(m) is 0 because the line is not a positive or negative slope (since it's parallel to the x-axis).

So, we now have y=b, where b is the y-intercept. Now, since we know one of its coordinates are (5,8), we know that this line will always stay on y=8 since 8 is the y coordinate of (5,8)

An easy shortcut is if you see the question say parallel to the x-axis, the equation of the line will be y=___; if it says the line is parallel to the y-axis, the equation will be x=___


Related Questions

The measures of two supplementary angles are 8w + 58 and 16w + 14. Find the measures of the angles

Answers

Answer:

34

Step-by-step explanation

Drag each equation to the correct to the correct location on the table

Answers

Answer:

         x=3

2(2x-3)=65x - (3x-1)=75x-2x-4=5

        x=2

5(x+3)=254x-(2x+1)=3x+2x+3=9

Answer:

x=3

2(2x-3)=6

5x - (3x-1)=7

5x-2x-4=5

 x=2

5(x+3)=25

4x-(2x+1)=3

x+2x+3=9

If m<TUV = (9x + 1), m<TUW = (7x-9), and m<WUV = (5x - 11), find the value of x. ​

Answers

Answer: x = 7

Step-by-step explanation:

Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.

Then, m∠TUV  = m∠ TUW + m ∠ WUV               (i)

Given,  m∠TUV  = (9x + 1) , m∠ TUW =  (7x-9) and m ∠ WUV = (5x - 11)

Substitute these values in (i), we get

[tex]9x+1=7x-9+5x-11\\\\\Rightarrow\ 9x+1= 7x+5x-9-11\\\\\Rightarrow\ 9x+1=12x-20\\\\\Rightarrow\ 12x-9x= 1+20\\\\\Rightarrow\ 3x= 21\\\\\Rightarrow\ x=\dfrac{21}{3}\\\\\Rightarrow\ x=7[/tex]

Hence, the value of x = 7.

Answer:

x=7

Step-by-step explanation:

train A arrives at the station at 11:50 Am and leaves the station at 1:50 PM.how long does it stay in the station?​

Answers

Answer:

2 hrs.

Step-by-step explanation:

11:50am ----> 12:50pm (1 hr.)

                                      +

12:50pm ---> 1:50pm    (1 hr.)

                                         = 2 hrs

I'm thinking of a number.My number is a whole number.My number is larger than 100.My number mod 17 = 9.My number is smaller than 200.What could be number be? (Give one possible answer. There are several correct answers.)

Answers

Answer:

the number could be any of these numbers (111, 128, 145, 162, 179, 196)

Step-by-step explanation:

From the given information, let the number that I'm thinking of to be p

p is > 100

p  is < 200

and p = 9 (mod 17)

This implies that 17 ÷ p -9

p - 9 = 17q

here;

q is an integer

p = 9 + 17q

However,

100 < p < 200

= 100 < 9+17q < 200

= 100 - 9 < 17q < 200 -9

= 91 < 17q < 191

Dividing both sides by 17; we have:

= [tex]\dfrac{91}{17}< q < \dfrac{191}{17}[/tex]

= 5.45 < q < 11.24

thus the possible values of q are between 6,7,8,9,10 and 11

The possible values of p can now be:

p = 9 +17(q)

p = 9+17(6), 9+17(7), 9+17(8), 9+17(9), 9+17(10), 9+17(11)

p = 111, 128, 145, 162, 179, 196

Therefore, the number could be any of these numbers (111, 128, 145, 162, 179, 196)

25×3/5×1/12 Multiply and simplify

Answers

[tex]25 \times \frac{3}{5} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{3}{1} \times \frac{1}{12} = [/tex]

[tex]5 \times \frac{1}{1} \times \frac{1}{4} = [/tex]

[tex]5 \times 1 \times \frac{1}{4} = [/tex]

[tex]5 \times \frac{1}{4} = [/tex]

[tex] \frac{5}{4} = 1 \frac{1}{4} [/tex]

Thank you.

Answer:

1.25

Step-by-step explanation:

We can start by multiplying the top part of the fraction. On the top, we have 25, 3, and 1. 25x3x1=75

Now we do the bottom. We have 5 and 12. 5x12=60

Now that we have both parts, we put it back into the fraction.

75/60

75/60=1.25

A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre

Answers

Answer:

Area in acres = 1.322 acre (Approx)

Step-by-step explanation:

Given:

Length of field = 120 yards

Width of field = 53.333 yards

Finds:

Area in acres

Computation:

1 acre = 4840 square yard

Area = 120 × 53.333

Area = 6,399.96 yard² = 6,400 yard²

Area in acres = 6,400 yard² / 4840

Area in acres = 1.322 acre (Approx)

Which graph shows the solution of the following system of inequalities :

F
G
H
J

Answers

G is the right answer I just did it no cap

A political scientist surveys 38 of the current 153 representatives in a state's congress.

Answers

Answer:

What is the question? Is this a true or false question ?

Step-by-step explanation:

The percentage of surveys done if, A political scientist surveys 38 of the current 153 representatives in a state's congress is 25%.

What is percentage?

As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The number of surveys done = 38,

The representatives in a state's congress = 153,

Calculate the percentage as shown below,

Percentage of survey =  The number of surveys done / total representative × 100,

Percentage of survey = 38 / 153 ×100

Percentage of survey = 0.25 × 100

Percentage of survey = 25 %

To know more about percentages:

https://brainly.com/question/26080842

#SPJ2

The complete question is: A political scientist surveys 38 of the current 153 representatives in a state's congress. Calculate the percentage of the survey.

The base of 14​-foot ladder is 6 feet from a building. If the ladder reaches the flat​ roof, how tall is the​ building?

Answers

Answer:

Approximatly 12.65

Step-by-step explanation:

You would use the pythagorean Theoram for this.

[tex]a^{2}+6^{2}=14^{2}[/tex]

[tex]a^{2}+36=196[/tex]

Subtract 36 from both sides:

[tex]a^{2}=160[/tex]

Square 160 to remove the exponent on "a":

[tex]a=\sqrt{160}[/tex]

[tex]a≈ 12.65[/tex]

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The base of 14​ feet ladder is 6 feet from a building. Then the length of the hypotenuse is 14 feet and the base is 6 feet. Then the height of the building will be given by the Pythagoras theorem.

If the ladder reaches the flat​ roof, then the height of the building will be

H² = P² + B²

14² = P² + 6²

196 = P² + 36

P² = 196 - 36

P² = 160

P = 12.65 feet

If the ladder reaches the flat​ roof, then the height of the building will be 12.65 feet.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

What's the difference between 2x+2 and 2x+2=10?

Answers

Answer:

10

Step-by-step explanation:

Given  both expression

2x+2  and

2x+2=10

the difference inlvosves basically the subtraction of one expression from the other expression.

now before we perform the subtraction operation, let us do some preprocessing.

let us equate the first  and second expression to zero

2x+2=0 and

2x+2-10=0

we can now subtract

(2x+2)-(2x+2-10)=0

open bracket

2x+2-2x-2+10=0

collect like terms

2x-2x+2-2+10=0

0+0+10=0

the answer is 10

HELP ASAP PLS pls help with all the questions thank you!

Answers

answer 2. min= 30.5

max=31.5

answer 3. 5 s.f

answer 4. False

Answer:not an answer but do you go to Cwcs because I go there too

Step-by-step explanation:

Find an equation for the surface obtained by rotating the line x = 6y about the x-axis.

Answers

Answer:

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

Step-by-step explanation:

If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:

[tex]\frac{x^2}{c^2}=\frac{y^2}{a^2}+\frac{z^2}{b^2}[/tex]

Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:

x² = (6y)²

x² = 36y²

The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:

x² = 36y² + 36z²

[tex]\frac{x^2}{36}=y^2+z^2[/tex]

[tex](\frac{x}{6})^2=y^2+z^2[/tex]

This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone

ANSWER FAST!!!!!! 25 POINTS!!!!!!!!

Answers

Answer:

X,Z,Y

Step-by-step explanation:

9π=28.27

√3/2=0.866

z=27.5

remember all are in cm^2 so no conversion is needed

Answer:

Circles X, Z, Y.

9 200 711 to the nearst ten

Answers

Answer:

9,200,711 rounded would be 9,200,710

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Square root 50 as a decimal

Answers

the square root of 50 as a decimal is 7.07106781

Answer:

I got 7.0 try that.

the low temperature in Anchorage, Alaska today was -4°F. The low
temperature in Los Angeles, California was 63°F. What is the difference in
the two low temperatures?

Answers

Answer:

67°F

Step-by-step explanation:

-4-63 = - 67°F

Therefore temperature difference=67

A small apple weighs 4.5 ounces. If it is divided into 4 equal pieces, how much does each piece weigh?

Answers

4÷4.5=0.89
good luck if you need to work shown just let me know

The graph of the function f is shown. The domain of f is [0, 50]. What is the range of g(x) = 4f(x)? PLEASE HELP!

Answers

Answer: the range of g(x) is [0, 7]

Step-by-step explanation:

The domain is the set of the possible values of y.

We can see that, for y = f(x) in the domain [0, 50]

The smallest possible value of y is 0, and the largest possible value of y is 1.75 (at x = 25).

Then the range of f(x) is [0, 1.75]

Now, if we have the function g(x) = f(x)*4

Let's analyze the possible values of g(x) in these extremes of the range of f(x).

when f(x) is in the minimum, f(x) = 0, we have that g(x) is:

g(x) = f(x)*4 = 0*4 = 0.

So 0 is the minimum in the range of g(x).

Now, for the maximum of f(x) (f(x) = 1.75) we have:

g(x) = f(x)*4 = 1.75*4 = 7

Then the range of g(x) is [0, 7]

write the interval in set builder notation (-2,3)

Answers

Answer:

helium,nitrogen

Step-by-step explanation:

A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.

Simplify. 1/3(1−1/4)^2 please

Answers

Answer:

3/16

Step-by-step explanation:

1/3(1-1/4)^2

1/3(3/4)^2

1/3(9/16)

3/16

Answer:

[tex]\huge \boxed{\frac{3 }{16}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{1}{3} (1-\frac{1}{4} )^2[/tex]

Solving for brackets:

[tex]\displaystyle \frac{1}{3} (\frac{4}{4} -\frac{1}{4} )^2[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{3}{4} )^2[/tex]

Squaring the fraction:

[tex]\displaystyle \frac{1}{3} (\frac{3^2 }{4^2 } )[/tex]

[tex]\displaystyle \frac{1}{3} (\frac{9 }{16} )[/tex]

Multiplying the fractions:

[tex]\displaystyle \frac{1 \times 9 }{3 \times 16}[/tex]

[tex]\displaystyle \frac{9 }{48}[/tex]

Simplifying the fraction:

[tex]\displaystyle \frac{3 }{16}[/tex]

[tex]\rule[225]{225}{2}[/tex]

3(n+1)=5.4 Solve for n

Answers

Answer:

n =0.8

Step-by-step explanation:

[tex]3(n+1)=5.4[/tex]

Expand ; 3(n+1)

[tex]3(n+1) =3n +3\\\\3n+3 =5.4[/tex]

Collect like terms and simplify

[tex]3n =5.4-3\\3n=2.4[/tex]

Divide both sides of the equation by 3

[tex]\frac{3n}{3} = \frac{2.4}{3} \\\\n = 0.8[/tex]

Answer:

The value of n is 0.8 .

Step-by-step explanation:

First, you have to expand to get rid of brackets :

[tex]3(n + 1) = 5.4[/tex]

[tex]3n + 3 = 5.4[/tex]

Next, you have to subtract 3 on both sides to remove 3 at the left side :

[tex]3n + 3 - 3 = 5.4 - 3[/tex]

[tex]3n = 2.4[/tex]

Lastly, you have to divide 3 on both sides :

[tex]3n \div 3 = 2.4 \div 3[/tex]

[tex]n = 0.8[/tex]

What is the profit percentage if the selling price is Rs 3000 and the cost price is RS 2000? * 5% 15% 50% 100%

Answers

Answer:

100% 50% 5% RS2000 Rs 3000

Ben works at a mobile phone store, where he earns a flat $80 for each 8-hour shift. He also earns a commission of $20 for each phone that he sells. If e stands for Ben's earnings and m is the number of mobile phones he sells, which of the following equations describes the amount of money that he earns in one shift? Question 6 options: A) e = m + 100 B) e = 20m + 80 C) e = –20m + 80 D) e = m + 80

Answers

Answer:

b

Step-by-step explanation:

he makes 80 dollars for a normal shift

20 dollars for every phone he sells 20m

and e is the total amount

e=20m+80

Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6y=−18.

Answers

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. [tex]2x-4y=12[/tex]

[tex]-3x+6y=-15[/tex]

b. [tex]2x-4y=12[/tex]

[tex]-5x+3y=10[/tex]

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]

1. One solution:

There will be one solution to the system of equations,  If we have:

[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]

2. Infinitely Many Solutions: (Identical lines in the system)

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}[/tex]

3. No Solution:(Parallel lines)

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]

Now, let us discuss the system of equations one by one:

a. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]

[tex]-3x+6y=-15[/tex] OR [tex]-3x+6y+15=0[/tex]

[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15[/tex]

Here, the ratio:

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]

Therefore, no solution i.e. parallel lines.

b. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]

[tex]-5x+3y=10[/tex] OR [tex]-5x+3y-10=0[/tex]

[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10[/tex]

[tex]\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}[/tex]

[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

That’s a Meanie Genie. On an archeological dig near the highlands of Tibet, Alley discovered an ancient oil lamp. Just for laughs she rubbed the lamp. She quickly stopped laughing when a huge puff of magenta smoke spouted from the lamp and an ornery genie Murray appeared. Murray gave her two balance scales and nine identical stones as per her three wishes. Alley may use each of the scales exactly once. Choose a possible way for Alley to select the slightly heavier stone containing Ramanujan from among the nine identical-looking stones.

Answers

Answer:

Step-by-step explanation:

Arrange the stones into 3groups of 3and place one group on one side of the first balance scale and another group on the other side.

If both sides weigh the same, then she knows that the (heavier) jewel must be in the third group of three. However, if one side is heavier than the other, then she knows that the jewel is one of the three that weighed more. In either case, after only one weighing, Alley is able to identify a group of only three stones among which is the Rama Nujan.

Then take 2 of the 3 stones and place one on each side of the second scale. If one weighs more than the other, then she knows that this stone is the one containing the jewel. If they both weigh the same, then she knows that the third stone must contain the jewel.

A Meanie Genie.

An archeological dig was performed by a team of researchers near the highlands of the Tibet and alley found an ancient oil lamp. She rubbed the lamp and saw a huge puff of magenta smoke coming from it. Later in the genie appeared. She gave him a balance scale and nine identical stones.

Hence answer is the third stone contains jew.

After the arrangement, of the 3 types of stones one side of the first balance scale and another on the group of the other side. Both balances scale to weight the same the heavier consists of the jew than the others.Taking two and three on the scale she knows that the third is having the jewel.Thus alley choose a slightly heavier stone which continued the  Ramanujan from the 9 identical ones.

Learn more about the Meanie Genie.

brainly.com/question/12420511.


3. While trick or treating with his buddies, Albert noticed he received 7 Kit Kat bars after
visiting 10 houses. If they plan on visiting 65 houses, how many Kit Kat bars might he receive
by the end of the night?

Answers

So 7 kk bars per 10 houses.
So all you have to do in this problem is multiply the amount with 6 and you can get the amount for 60 houses: 42
And then you can divide half of 7 to get the amount for 5 houses. However, we cannot use decimals in this problem. So round the amount: 3.5=4

So approximately Albert should get somewhere near 46 kk bars.

Find f(-7) if f(x) = 2x+8.
-6
03
02
22

Answers

The answer for you problem is -6.

2(-7)+8
-14 +8
-6
-6, because (-7) x 2 = -14, + 8 = -6.

Sandy and Steve share some prize money in the ratio 4:3. The prize money totaled $1400 How much

does Sandy receive ?

Answers

Answer:

Sandy will receive $800

Steve will receive $600

Step-by-step explanation:

Sandy : Steve = 4 : 3

Sandy = 4

Steve = 3

Total ratio = 4 + 3 = 7

Total prize money = $1400

How much does Sandy receive ?

Sandy's share = Sandy's ratio / total ratio × Total prize money

= 4 / 7 × 1400

= 4 × 200

= $800

Sandy will receive $800 out of $1400

Steve's share = Steve's ratio / total ratio × Total prize money

= 3 / 7 × $1400

= 3 × $200

= $600

Steve will receive $600 out of $1400

Check:

Sandy's share + Steve's share

= $800 + $600

= $1400

Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is
rotated 180° clockwise about the origin, what are the coordinates of A'?

Answers

Answer:(2,5)

Step-by-step explanation:

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