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3 years ago

I NEED HELP WITH THIS QUESTION!!

Mathematics

1 answer:

Firdavs [7]3 years ago

5 0

Answer:

- 1

Step-by-step explanation:

The product of the slopes of lines perpendicular to each other is - 1

Given y = 4x - 5 with slope 4

y = - $\frac{1}{4}$ x - 5 with slope - $\frac{1}{4}$ then

4 × - $\frac{1}{4}$ = - 1 proving the lines are perpendicular

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Sam had his highest scoring basketball game by making 18 shots for a total of 43 points. If all of his points came from 2- and 3

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What is the area, in square centimeters, of the shape below? Express your answer as a fraction in simplest form.

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3 years ago

Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =

pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)

$x-2y+1=0\\x= 2y-1$

Now we substitute x in the second equation:

$2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7$

Now we substitute y in our first equation.

$x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7$ .

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

$x-2y+11=0\\x=2y-11$

$-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2$

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0

3 years ago

A line of best fit is drawn for the set of points shown on the graph. Which point is an approximate extrapolation for x = 30 fro

Goshia [24]

Answer with explanation:

Equation of Linear Regression line is

y=1.14 x + 3.805

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

So, Ordered pair is , (30,38)

Option B

8 0

3 years ago

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