Answer:
[tex]y=3x-7[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Points (3,2) and (6,11)
[tex]=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3[/tex]
Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=3x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=3(3)+b\\2=9+b[/tex]
Subtract 9 from both sides
[tex]2-9=9+b-9\\-7=b[/tex]
Therefore, the y-intercept of the line is -7. Plug this back into [tex]y=3x+b[/tex]:
[tex]y=3x-7[/tex]
I hope this helps!
how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?
y=-1/4x - 3
PLEASE HELP DUE TONIGHT (W/ WORK IF POSSIBLE) THANK YOU
An isosceles triangle has a base of 20cm. The vertex angle is 80?. Find the length of each of the two equal sides of the triangle
Given the function g(x) = 2x2 - 3
Is this statement true or false? g(2) = g(-2)
Which Statement About The Data Is True? 52 56 60 64 68 72 76 80 A. The difference between the medians is about 4 times the range. B. The difference between the medians is about 4 times the IQR. C. The difference between the medians is about 2 times the range. D. The difference between the medians is about 2 times the IQR.
Answer:
The answer is "Option B".
Step-by-step explanation:
IQR for the first boxplot [tex]= Q_3 - Q_1 = 77-73 = 4[/tex]
IQR for the first boxplot [tex]= Q_3 - Q_1 = 63-59 = 4[/tex]
Calculating the median for the first boxplot [tex]= 76[/tex]
Calculating the median for the second boxplot [tex]= 60[/tex]
Calculating the difference:
[tex]\to 76-60 = 16[/tex]
therefore, the difference between medians is about 4 times the IQR.
Answer:
B
Step-by-step explanation:
did the test
True or False? The blue radius is perpendicular to the green cord.
Answer:
true
Step-by-step explanation:
Answer:
False. if it was perpendicular than the segments would be equal
Step-by-step explanation:
Which of the following steps were applied to ABCD to obtain A'B'C'D'?
PLZZZZ HELP
Answer:
D
Step-by-step explanation:
Since all the points were shifted the same way, I'll just use point A and point A'.
Point A starts at (3,5) and A' is at (5,2)
If the subract the x coordinates: 5-3=2
Then subtract the y coordinates: 2-5=-3
The 2 is positive, so it is 2 units to the right (the positive x direction) and -3 is negative so 3 units down (negative y direction)
Help plz..And No links!! I repeat No links!!
Answer:54 is the54 d
Step-by-step explanation:
no sorry
[tex]\huge\mathfrak\green{please \: help...} \\ \\ \huge\mathfrak\red{5 {}^{2} + 6 {}^{2} = {?} ...}[/tex]
61 is a required answer.
Answer:
[tex]\boxed{5²+6²=5*5+6*6=25+36=61}[/tex]
2x+1>
[tex]2x + 1 \geqslant 5 - x[/tex]
5-x
Aline having a slope of 3/4 passes through the point (-8,4) What would the
equation look like before you solve it, if you were plugging these numbers into the
slope-intercept equation (y=mx+b)?
HELP ME
Answer:
y=3/4x + 10
Step-by-step explanation:
First, lets put this into Point-Slope form: y-4 = 3/4(x+8)
Now, lets modify the equation in our favor, getting the "y" alone on the left hand side: y-4 = 3/4(x+8)
+4 +4
-----------------------------------------------
y=3/4(x+8)+4
Now, lets simplify....
y=3/4x + 6 + 4 = y = 3/4x+10
And we are done!
|48+(-6)|+|-35+7|
Please help me with this! Thank you!
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{|48 - 6| + |- 35 + 7|}[/tex]
[tex]\mathsf{|48 - 6| = \boxed{\bf 42}}[/tex]
[tex]\mathsf{= 42 +| -35 + 7|}[/tex]
[tex]\mathsf{|-35 + 7| = \boxed{\bf -28}}[/tex]
[tex]\mathsf{= 42 + |- 28|}[/tex]
[tex]\mathsf{= 42 + 28}[/tex]
[tex]\boxed{\mathsf{= \bf 70}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 70}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
For the dinner special at a restaurant, the customer must choose an appetizer, an entree, a side dish, and a dessert.
Here are the items to choose from.
Choice
Possible items
Appetizer
Shrimp cocktail, Onion rings, Buffalo wings
Entree
Grilled chicken, Lamb, Roast turkey, Salmon
Side dish
French fries, Baked potato, Mixed vegetables, Rice, Pinto beans
Dessert
Brownies, Ice cream, Cheesecake, Apple pie
How many dinner specials are possible?
Answer:
A
Step-by-step explanation:
Answer:
320
Step-by-step explanation:
Helppppppppp meeeeeeeeeeee
Describe the relationship between ∠2 and ∠8
Answer:
Alternate Interior Angles
Step-by-step explanation:
Angles can be corresponding; alternate or same side; or interior or exterior. The angles 2 and 8 are on opposite sides of the transversal; this means that they must be alternate angles. Additionally, they are both within the parallel lines, so they are interior. Alternate interior angles are always congruent. Therefore, their measurements must be equal.
Answer:
They are alternate interior angles
Step-by-step explanation:
<2 and <8 are inside the parallel lines and on opposite sides of the transversal
They are alternate interior angles
A study of a population of 102
parrakeets revealed that 4 out
of every 12 parakeets in the
population are blue.
Based on the results of this
study, how many parakeets in
the population are NOT blue?
Answer:
68
Step-by-step explanation:
4 out of 12 are blue.
Then 8 out 12 are not blue.
8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.
2/3 of the birds are not blue.
2/3 of 102 = 2/3 * 102 = 68
Answer: 68
Help please I need help
find X
Answer:
[tex]x = 145[/tex]
Step-by-step explanation:
1.Approach
To find the value of (x), one will have to take multiple steps. Since a straight line is (180) degrees, one can use this property. Subtract the measure of the exterior angle (the angle formed between the extension of the side of a triangle, and the side of a triangle) from (180) to find an expression to describe the measure of the angle inside the triangle.
Then one is given a regular octagon, using the sum of interior angles formula, find the measure of any interior angle. The vertical angles that when two lines intersect, the opposite angles are congruent. One can use this property to find the final unknown angle in the triangle.
It is known that the sum of angles in a triangle is (180). Use this to find the measure of (x).
2. Find the measure of two angles in the triangle
The degree measure of a straight angle is (180), therefore, when two angles form a straight line, their sum of (180). One can apply this here by stating,
[tex]x+(unknown)=180[/tex]
Solve for unknown,
[tex]unknown = 180 - x[/tex]
One can also state,
[tex]170+(unknown_2)=180[/tex]
Solve for the unknown,
[tex]unknown_2=10[/tex]
3.Find the degree measure of one of the angles in the octagon
The given octagon (eight-sided figure) is a regular octagon. By its definition, all of the sides in any regular polygon are congruent. This is indicated here, thus the octagon is a regular octagon. One property of a regular polygon is that all of the angles in the figure are cognrunet. This means that the sum of interior angles divided by the number of angles wil give one the measurement of each angle.
The formula to find the sum of interior angles in a polygon is as follows,
[tex]S=180(n-2)[/tex]
Where (n) is the number of sides. Since an octagon has (8) sides substitute this number into the formula and solve for the sum of angles,
[tex]S=180(n-2)\\\\S=180(8-2)[/tex]
Simplify,
[tex]S=180(8-2)\\\\S=180(6)\\\\S= 1080[/tex]
Now divide by the number of angles. The number of angles in an octagon is (8). Since this is a regular octagon, all of the angles are congruent, thus dividing the sum of angles by the number of angles will give on the measure of each angle.
[tex]1080[/tex] ÷ [tex]8 = 135[/tex]
4. Find the measure of the final angle in the triangle
The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. Therefore, the final unknown angle in this triangle is equal to (135) degrees, because the angle opposite in the octagon is equal to (135) degrees.
5. Find the meausre of (x)
The sum of angles in any triangle is (180) degrees. Since one has found the measure or expression of the angle measure of each angle in a triangle, one can form an equation and solve for the unknown,
[tex](180-x)+(10)+(135)=180[/tex]
Simplify,
[tex]325-x=180[/tex]
Inverse operations,
[tex]325-x=180\\\\-x = -145\\\\x=145[/tex]
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15
Answer:the answer is b
Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped
Very easy question I will mark you brainliest
1. Is 29 monomial or not monomial ?
Yes or No
2. 5x^7 monomial or not monomial
yes or no
Answer:
1. Yes
2. Yes
Step-by-step explanation:
A monomial is an algebraic expression consisting of one term. So, 29 is a monomial.
[tex]5x^{7}[/tex] has only one term. So, [tex]5x^{7}[/tex] is a monomial.
find the midpoint of Line ac
Answer:
-28
Step-by-step explanation:
-2-13=-15
-13-15=-28
Answer:
-28
Step-by-step explanation:
Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:
Answer:
The answer is "158.489"
Step-by-step explanation:
for san francisco earthquake:
[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]
similarly , for coloumbia earthquake:
[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]
divide equation (i) and (ii):
[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]
Which value for the constant d makes x=-1 an extraneous solution in the following equation? square 8-x = 2x + d. PLEASE
The value for the constant, d which makes x= -1 an extraneous solution is; d=5.
Which value for the constant d makes x=-1 an extraneous solution in the equation?The constant d as given in the task content can be evaluated as follows where, x =-1;
√(8+1) + = 2(-1) +d
√9 = -2 +d
3 = -2 +d.
d = 5.
Read more on equations;
https://brainly.com/question/2972832
#SPJ1
Answer:
Step-by-step explanation:
Twice the complement of an angle is 25 less than 3 times the angle. Find the measure of both angles.
Answer:
Step-by-step explanation:
Let the angles size = x
The complement of the angle is 90 - x
Two times the compliment is 2*(90 - x)
Three times the angle is 3x
25 less than 3 times the angle = 3x - 25
Now you have to equate the two bolded pieces of information.
3x - 25 = 2(90 - x) Remove the brackets
3x - 25 = 180 - 2x Add 25 to both sides
25 25
3x = 205 - 2x Add 2x to both sides.
2x 2x
5x = 205 Divide by 5
5x/5 = 205/5
x = 41
The compliment of x = 90 - 41 = 49
The angle itself = 41
What is the volume of the rectangular prism below
Answer:
D. 501,120mm^3
Step-by-step explanation:
Volume of a rectangle:
length x width x height
So, plug in what you know:
80*104.4*60=
501,120mm^3
there is a population of 100,000 bacteria in a colony . if the number of bacteria doubles every 3 hours what will be 6 hours from now
Answer:
400,000 bacteria
Step-by-step explanation:
If we start at 100,000 and double every three hours until 6 hours, to colony will be at 400,000 bacteria.
First find out how many times it will double by dividing 6/3=2. It will double twice in 6 hours. Next double 100,000 once, to get 200,000. Then, double it once more to get to the final answer of 400,000 bacteria.
Hope this helps!
What is the area of the square,in square units?
3/4 unit
Answer:
9/16
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = (3/4)^2
A = 9/16
A supermarket sells various brands of peanut butter.
• Brand A costs $1.92 per jar, and each jar contains 12 ounces.
• Brand B costs $2.40 per jar, and each jar contains 16 ounces.
Which brand costs less per ounce
pls help me ill give brainliest and no links pls ty!:)
Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
Need help on this please ASAP ????? DUE SOON
Answer:
[tex]33.5\:\mathrm{ft^3}[/tex]
Step-by-step explanation:
The volume of a cone is given by [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cone and [tex]h[/tex] is its height.
What we're given:
[tex]r[/tex] of 2 [tex]h[/tex] of 8Solving, we get:
[tex]V=\frac{1}{3}\cdot 2^2\pi\cdot 8\approx\boxed{33.5}[/tex]
Answer:
The volume of cone is 33.5ft ³.
Step-by-step explanation:
Using Formula,
Volume of cone = 1/3 × π × r ² × h
Where, r is the radius and h is the height of the cone.
We have givenRadius of cone, r = 2 ft
Height of cone , h = 8 ft
substitute the values into the formula
Volume of cone = 1/3 × 3.14 × ( 2ft ) ² × 8ft
Volume of cone = 1/3 = 3.14 × 4 ft ²× 8ft
multiply
Volume of cone = 1/3 × 100.8 ft ³
divide, we get
Volume of cone = 33.50 ft ³.
Therefore,the volume of cone is 33.50 ft³.