Answer:
(1,5) and (4,7)
Step-by-step explanation:
The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.
Solve the equation x=√(2x-4)+2. Show, explain, and check your work.
Answer:
x = 2, 4
Step-by-step explanation:
Hi there!
x=√(2x-4)+2
Move 2 to the left:
x-2 = √(2x-4)
Square both sides:
x²-4x+4 = 2x-4
Combine like terms:
x²-6x+8 = 0
Factor:
(x-2)(x-4) = 0
Therefore, x = 2, 4.
I hope this helps!
What happens to the decimal point when we multiply a whole number by 100?
Answer:
Step-by-step explanation:
To multiply a decimal by 100, move the decimal point in the multiplicant by two places to the right. Here we multiplied the number 98.26 by 100 so we move 2 places to the right. 3. To multiply a decimal by 1000, move the decimal point in the multiplicant by three places to the right
Paul needs to score higher than 174 to win his bowling tournament. He currently has a score of 42. Which of the following shows how many more points, p, that Paul needs to get to score higher than 174?
Answer:
He needs 132
Step-by-step explanation:
hope it helps
HELPPPPPPPPPPPPP
A: equilateral and right
B: equilateral and isosceles
C: isosceles and scalene
D: isosceles and right
Answer:
C. (I think)
Step-by-step explanation:
So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.
how can you solve this (3/4 - 1/5)
Answer:
11/20
Step-by-step explanation:
WILL GIVE BRAINLIEST!
Answer:
1 1/3
Step-by-step explanation:
it's bc the number is closer to one and not in the middle. have a great day
Answer:
The arrow is pointing to 1 1/3. From 1 to 2, there are 3 marks. These three marks are each 1/3. So, from 1 the next mark will be 1 1/3.
:)
Evaluate each expression when n = 4 and b = 7
1. 2n – 3
2. 4b + 3
3. 3n + 8b – 13
Answer:
1. 5 2. 31 3. 55
Step-by-step explanation:
1. 2(4)-3=8-3=5
2. 4(7)+3=28+3=31
3. 3(4)+8(7)-13=12+56-13=56-1=55
Answer:
1 is 5, 2 is 31, and 3 is 55
Step-by-step explanation:
you substitute n in for 4, and for 1 you get 2(4)-3, and 2(4) =8-3 is 5. you substitute the n and b values in for the actual number, and you can get an easier answer.
complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
ΔDEFStep-by-step explanation:
Pay attention to order of vertices when comparing the congruent parts or figures.
ΔCBA ≅ ΔDEFC and D as well as B and E are corresponding vertices according to angle marks and side marks.
In ∆ABC and ∆DEF
AB=EFBC=EDAC=FDSo
[tex]\\ \sf\longmapsto ∆ABC\cong ∆DEF[/tex]
By SSS congruence
the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon
Answer:
About 30.06 pounds
Step-by-step explanation:
In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).
expand the expression, image attached giving brainliest please help
(2m + n) (2n -m)
2m×2n-2m×m+n×2n-mn
4mn-2m^2 +2n^2-mn
4mn-mn-2m^2+2n^2
3mn-2m^2+2n^2
A magnifying glass shows the image of an object that is 10 times the objects actual size. Determine the length of the image of the object if the actual length of the object is 8 millimeters
In the table, how can I get from 8 km to 1 km?
A. Multiply by 8.
B. Divide by 8.
C. Divide by 5.
D. Multiply by 5.
WILL MARK BRAINLY NO BOTS
Answer:
B. Divide by 8.
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answer:
its F for the inequality to be true
Can someone please answer for d and b
Answer:
d=2√2, b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Step-by-step explanation:
first triangle is a 30-60-90
so, sides x-x√2-2x
x=2
therefore d=2√2
second triangle is 45-45-60
sides, 1-1-√2
which means b√2=6
b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator
b=6√2/4 , simplify
b=[tex]\frac{3\sqrt{2}}{2}[/tex]
Pls hurry!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's B.
Step-by-step explanation:
hlp me with this math problem
Answer:
0.5l+0.2s
Step-by-step explanation:
0.10x5l equals 0.5l
0.10x2s equals 0.2s
There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the class
Answer:
Step-by-step explanation:
If the males make up 60% of the class then
The females make up 100 - 60 = 40% of the class.
Females = 40% * x where x = the class size.
380 = 40/100 * x
380*100 =38000
38000 = 40 x
38000/40 = x
x =950
Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?
Answer:
135 divided by 4
Step-by-step explanation:
the length of a rectangle is 5 more than twice its width. its perimeter is 70 cm. what is its area? show your solution
Answer:
[tex]250cm^2[/tex]
Step-by-step explanation:
length = 5 + 2w
width = w
P = Sum of all sides
P = 2 * (5 + 2w) + 2w
P = 10 + 4w + 2w
P = 6w + 10
Given Perimeter = 70cm
We substitute
6w + 10 = 70
6w = 70 - 10
6w = 60
w = 60/6
w = 10cm
Since length is 5 + 2w
length = 5 + (2 * 10)
length = 25cm
Area = lw
Area = 25 * 10
Area = [tex]250cm^2[/tex]
Answer:
let
b=x then'
l= 2x+5
Now
p=70
2(l+b)=70
2(x+2x+5)=70
6x+10=70
6x=60
x=6
b=x=10
l=2x+5=25
area of rectangle = l*b
25*10
=250 answer
four hundred twenty five million six hundred one thousand six in standard form
Answer:
425,601,006
Step-by-step explanation:
suppose a traveler is selected from this sample at random. Let event A = home sharing and event B = fly. Are events A and B independent? No, P(A) = P(A|B). No, P(A) ≠ P(B|A). Yes, P(A) = P(A|B). Yes, P(A) ≠ P(B|A).
Answer:
Yes, P(A) = P(A|B)
Step-by-step explanation:
The context of the question is incomplete but I've assumed logically what it might be;
Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;
Therefore, they are independent;
Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;
This can be represented mathematically as: P(A) = P(A|B);
The corollary of this is P(B) = P(B|A);
A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;
If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails
help ! which of the following are the roots of the given quadratic equation ?
[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6
b. -6
c. 3
d. -3..
Answer:
The roots are {-6, -3}
Step-by-step explanation:
We are given four possible roots. To determine whether or not a particular possible root is actually a root, we use synthetic division. If the remainder is zero, we may conclude that this is actually a root.
Determine whether or not -3 is a root. Setting up synthetic division, we get
-3 / 2 18 36
-6 -36
---------------------
2 12 0
Since the remainder is zero, -3 is a root.
Try -6: Is this a root of 2x + 12? Setting up synthetic division, we get
-6 / 2 12
-12
----------------
2 0
The remainder is again zero, so -6 is also a root of the original equation.
The roots are {-6, -3}
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are ~
b and d
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex][tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex][tex]2x(x + 6) + 6(x + 6) = 0[/tex][tex](2x + 6)(x + 6) = 0[/tex]There's two cases here,
Case # 1 - when 2x + 6 = 0
[tex]2x + 6 = 0[/tex][tex]2x = - 6[/tex][tex]x = - 6 \div 2[/tex][tex]x = - 3[/tex]Case # 2 - when x + 6 = 0
[tex]x + 6 = 0[/tex][tex]x = - 6[/tex]Hence, the roots are -3 and -6 ~
Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
part A
y = 2x -1
the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive
the y-int is -1
y = 4x -5
the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive
the y-int is -5
part B
the solution to this is (2,3)
Step-by-step explanation:
Answer:
Part A:
y = 2x - 1
Slope = 2/1
Y intercept = -1
y = 4x -5
Slope = 4/1
Y intercept = -5
Part B:
x = 2 y = 3
Step-by-step explanation:
Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.
Equation of a line: y = mx + c
where mx is the slope and c is the y intercept
y = 2x - 1
Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right
y intercept = -1
y = 4x - 5
Slope = 4/1
y intercept = -5
Part B:
Solving for x:
Since we know that y = 2x - 1 but also 4x - 5, then:
2x - 1 = 4x - 5
2x + 4 = 4x
4 = 2x
x = 2
Solving for y:
Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:
y = 2 x 2 - 1
y = 4 - 1
y = 3
Help me please!! This is timed and I’m stuck
Answer:
B 13/2
Step-by-step explanation:
2x² + 7x - 15 = 0
First we want to find the two solutions
We can do this by using the quadratic formula
Quadratic formula:
[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]
Where the values of a,b and c are derived from the equation.
The equation is put in ax² + bx + c = 0 form
2x² + 7x - 15 = 0
so a = 2, b = 7 and c = - 15
We now plug these values into the quadratic formula
(-(7) + or - √7² - 4(2)(-15) ) / 2(2)
first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)
remove parenthesis on 7
(-7 + √7² - 4(2)(-15) ) /2(2)
Apply exponents 7²
(-7 + √49 - 4(2)(-15) ) /2(2)
Multiply -4,2 and -15
(-7 + √49 + 120 ) / 2(2)
add 49 and 120
(-7 + √ 169 ) / 2(2)
Take square root of 169
(-7 + 13 ) / 2(2)
add 13 and -7
6/2(2)
multiply 2 and 2
= 6/4
The first solution is 6/4 or 1.5
Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)
For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.
So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)
So second solution: ( -7 - 13 ) / 2(2)
subtract 13 from -7
-20/2(2)
multiply 2 and 2
-20/4
divide
The second solution is -5
Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s
The two solutions are 6/4 and -5.
6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s
So if r = 6/4 and s = -5
Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2
So the answer is B. 13/2
What is the inequality shown?
-2 -1 0 1 2 3 4 5 6 7 8
Answer:
- 2 ≤ x < 8
Step-by-step explanation:
The closed circle at x = - 2 means that x can equal - 2
The open circle at x = 8 means that x cannot equal 8
All value in between are possible values for x, then the inequality is
- 2 ≤ x < 8
Which is equivalent to the expression below 6a-7+2a-4
Re-write y=x^2– 2x - 3 in vertex form.
Answer:
Step-by-step explanation:
y=x²-2x-3
or
y=x²-2x+1-1-3
or
y=x²-2x+1-4
or
y=(x-1)²-4
vertex is (1,-4)
please help!!!!!!!!!!
Answer:
120 / (x+y) = 8
Step-by-step explanation:
120 / (x+y)
= 120 / (3+12)
= 120/15
= 8
Rob is making a square pen for his dog to play in. Each
a
side of the pen is 30 feet long.
The formula for the area of a square is A = 52, where A
stands for the area and sis the length of one side.
What is the area of the pen?
A. 900 square feet
B. 60 square feet / guys help
C. 30 square feet
D. 120 square feet
Answer:
A.900 square feet
Step-by-step explanation:
s×s=A
30×30=900