Answer:y= 2x+7
Step-by-step explanation:
They are all pretty much want you to create the equation so the formula they want is y=mx+b format.
First problem(1,9) slope 2
Y=mx +b
Where y is 9,x is 1 and slope (m) is 2.
Now solve for b using equation
Y=mx +b
9= 2(1)+b
9=2+b
9-2=b
7=b
Now you can create equation
Y= 2x+7
Prob.4
(3,-6) and (-1,2)
First find slope
M= y2-y1/x2-x1
M= 2-(-6)/-1-3
M = 8/-4
M= -2
Your slope "m" is -2
Now do as problem 1 get one of the points and your slope to get equation .
(3,-6) slope -2
Y=mx+b
-6= -2(3)+b
-6= -6+b
-6+6=b
0=b
Y= -2x
Problem 7
(5,13) (10,14)
You solve this one as problem 4 same steps that I did above .
Problem 8 is also the same as steps in problem 4
( 2,160) and ( 2.75,220)
I hope this helps you
I'll do the first problem to get you started.
Triangle SRT is a right triangle with the 90 degree angle located at angle RST. This is because segment SR is an altitude of the triangle. Altitudes of a triangle go from a vertex to the opposite side, and they are perpendicular to the opposite side.
The acute angles of right triangle SRT add up to 90 degrees. They are complementary angles.
(angle SRT) + (angle STR) = 90
(4x-8) + (6x+13) = 90 .... substitution
10x + 5 = 90
10x + 5 - 5 = 90 - 5 .... subtract 5 from both sides
10x = 85
10x/10 = 85/10 .... divide both sides by 10
x = 8.5
Therefore the answer is choice A) x = 8.5
Answer:
12
Step-by-step explanation:
The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.
Hope that this helps!
Answer:
26
Step-by-step explanation:
To find the area of the three combined shapes, multiply the length times the width of each and add them together. Five times two is 10, and since there are two identical rectangles (the top and the bottom one), the current combined area is 20. Three times two is 6. 20 + 6 = 26.
1.
The 5/65 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.

2. The 10/125 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.

3. The 65/5 simplifies, the a³ moves to the numerator, and bc is canceled from the numerator and denominator.

4. The 10/130 simplifies, the b² cancels out in the numerator and denominator, and the

moves to the numerator.

5. The 10/130 simplifies, the b² cancels out in the numerator and denominator, the

moves to the numerator, and the

moves to the numerator.

I believe the only expression that simplifies to

is the first one.