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2 years ago

Find the slope given the points (2, −7) and (−1, 6).

Mathematics

1 answer:

lesya [120]2 years ago

4 0

Answer:

The Slope= -13/3

y-intercept= (0,5/3)

Step-by-step explanation:

m= change in y/change in x

m= y2-y1/x2-x1

m=6-(-7)/ -1-(2)

m=-13/3

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What is the multiplicative inverse of -1/9

Sedaia [141]

A multiplicative inverse is the same thing as a reciprocal, which is basically just flipping the fraction and changing the sign. Therefore the multiplicative inverse of -1/9 is 9

7 0

2 years ago

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if your car gets 28 miles per gallon, how much does it cost to drive 310 miles when gasoline cost $3.50 per gallon?

Butoxors [25]

Hi,

Work:

$28miles = 1gallon$

To find the cost of gallons spend for 310 miles you need to first find the amount of gallons consumed on 310 miles path.

$310 \div 28 = 11.07gallons$

If each costs 3.5$ you need to multiply gallons with money.

$3.5 \times 11.07 = 38.745$

You would spend 38.745$ to drive 310 miles.

Hope this helps.
r3t40

3 0

3 years ago

Help I’ll give you 30 points

Gnesinka [82]

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

6 0

2 years ago

Read 2 more answers

What are the coordinates of point B on \overline{AC} such that AB = 1/2 BC

marta [7]

Answer:

C. $B(x,y) = \left(3,-\frac{16}{3} \right)$

Step-by-step explanation:

Let $A(x,y) = (6,-7)$ , $B(x,y) = (x,y)$ and $C(x,y) = (-3,-2)$ . From statement we know that $AB = \frac{1}{2}\cdot BC$ , which is equivalent to the following linear algebraic formula:

$B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]$ (1)

$B(x,y)-A(x,y) = \frac{1}{2}\cdot C(x,y)-\frac{1}{2}\cdot B(x,y)$

$\frac{3}{2}\cdot B(x,y) = \frac{1}{2}\cdot C(x,y)+A(x,y)$

$B(x,y) = \frac{1}{3}\cdot C(x,y) +\frac{2}{3}\cdot A(x,y)$ (2)

Then, the coordinates of point B on AC are:

$B(x,y) = \frac{1}{3}\cdot (-3,-2)+\frac{2}{3}\cdot (6,-7)$

$B(x,y) = \left(-1, -\frac{2}{3}\right)+\left(4, -\frac{14}{3} \right)$

$B(x,y) = \left(3,-\frac{16}{3} \right)$

Which means that correct answer is C.

5 0

2 years ago

Solve 2cos x+2cos 2x=0 on the interval [0,2pi)

rjkz [21]

$2cosx+2cos2x=0 \\ -2sin^2x+2cos^2x+2cosx=0 \\ -2(1-cos^2x)+2cos^2x+2cosx=0 \\ -2+2cos^2x+2cos^2x+2cosx=0 \\ 4cos^2x+2cosx-2=0 \\ t=cos x \\ 4t^2+2t-2=0 \\ \Delta=4+32=36 \\ t_1= \frac{-2-6}{8}=-1 \\ t_2= \frac{-2+6}{8}= \frac{1}{2} \\ cos x=-1 \lor cos x= \frac{1}{2} \\ x=-\pi \lor x= \frac{5\pi}{3}$

6 0

2 years ago

Read 2 more answers