All categories

3 years ago

2. What is the equation of the line that passes through the

Mathematics

1 answer:

valentinak56 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

Here's how you solve this problem:

1. Solve for the slope in between the two points using (y2-y1)/(x2-x1)

For this problem that would be: (5-11)/(4+2), so the slope would be -1

2. Put that slope in a slope-intercept form equation and solve for the y-intercept.

Slope-Intercept Form: y=mx+b

y=-x+b

To solve for the y-intercept, use one of the coordinate pairs and input x and y.

11=-(-2)+b

9=b

3. Put that y-intercept back in the equation: y=-x+9

You might be interested in

It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?

qwelly [4]

$260.00
Because you won’t need to multiply the $60.00 per person

5 0

3 years ago

The height of the tunnel at the center is 35ft, and the vertical clearance must be 21 ft at a point of 8ft from the center. Find

Zinaida [17]

Answer:

y=-0.215x^2+35

Step by Step:

Let, $h=0$ , $k=35$ , $x=8$ , $y=21$

We know that, the general equation of the parabola.

$y-k = a(x-h)^2$

$\Rightarrow y=a(x-h)^2+k .........(i)$

Substitute the value of $h, k, x, y$ in equation $(i)$ and find the value of $a.$

$21=a(8-0)^2+35$

$\Rightarrow 21=a\times 8^2+35$

$\Rightarrow 21=64a+35$

$\Rightarrow 64a=21-35$

$\Rightarrow 64a=-14$

$\Rightarrow a=\frac{-14}{65}$

$\Rightarrow a=-0.215$

Hence, the equation of the parabola is:

$y=-0.215x^2+35$

8 0

3 years ago

What does this equal? 3(x+5)=7-x

True [87]

3(x+5)=7-x3x+15=7-x4x=-8x=-2

3 0

3 years ago

Read 2 more answers

Every hour of training raises the salary

timurjin [86]

(10,1250),(20,1400)
slope = (1400 - 1250) / (20 - 10) = 150/10 = 15

so every hr of training raises the salary by $ 15

7 0

3 years ago

A gray crayon is made with 5\text{ mL}5 mL5, space, m, L of black wax for every 6\text{ mL}6 mL6, space, m, L of white wax.

zloy xaker [14]

The correct answers are B and C.

Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.

A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.

B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.

C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.

D does not work; 26 is not a multiple of 6.

E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.

8 0

3 years ago

Read 2 more answers