MATHEMATICS HIGH SCHOOL

A line in the Cartesian plane passes through the points (–2, 4) and (2, –1). What are the rise and the run of the line

Answers

Answer 1

Answer: Rise (-1) - 4 = -5
Run 2 - (-2) = 4

Answer 2

Answer:

Answer:

The rise is -5, the run is 4.

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Evaluate b2c-1 for b = 8 and c = -4. -16 1/16 16 256

Answers

Answer: The correct option is (B) -16.

Step-by-step explanation: We are given to evaluate the value of the following expression for b = 8 and c = -4 :

$E=b^2c^(-1).$

To find the value of expression (i), we need to substitute the values of b and c in equation (i).

We will be using the following property of exponents :

$x^(-a)=(1)/(x^a).$

Therefore, from equation (i), we get

$E\n\n=b^2c^(-1)\n\n=8^2* (-4)^(-1)\n\n\n=(64)/(-4)\n\n=-16.$

Thus, option (B) is correct.

b²c-¹ = (8)²(–4)-¹ = 64(–¼) = –16

The length of a rectangle is 5 cm more than twice the width the perimeter of the rectangle is 34 cm what are the dimensions

Answers

If the width is 4, we're told that the length is 5 more than twice the width, or (2*4)+5, which is 13.

What is the x-intercept for 6x-y=30

Answers

$the x-intercept: \n \n 6x-y=30 \n \n \n \n6x=y+30 \ \ / : 6\n \nx=(1)/(6)y+(30)/(6) \n \nx=(1)/(6)y+5\n \ny=0\n \n x=(1)/(6)\cdot 0 +5\n \nx= 5 \n \n(5,0)$

The x intercept is when the y value is 0. To find it, we just set y = 0 in the equation

6x - y = 30
6x - 0 = 30
x = 30 / 6
x = 5

So the x intercept is (5, 0)

What is the equation of the line with an x-intercept of -1 and a y-intercept of 2?

Answers

To solve this question. Take the two points they have given you. X int= (-1,0) and y int= (0,2). Solve for m, slope. M= 2-0/0--1= M=2/1=2. Put the value of m in slope y intercept form.(You could put it any other form, standard, slope point form). So y=mx+b= y=2x+2.

Quadrilateral ABCD has coordinates A(3,5) B(5,2) C(8,4) D(6,7). quadrilateral ABCD is a?

Answers

Use the distance formula. The distance formula is:

$\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}$

If you input the values, you will get:

A to B= $√(13)$

B to C= $√(13)$

C to D= $√(13)$

D to A= $√(13)$

It is a square.

Hope that helped!

~Cam943, Moderator

Answer:

it is a square use geogebra and you will see

Step-by-step explanation:

Which equation is true for any value of y?A. 4y^2+2=(4y*4y)+2
B. 4y^2+2=(4y+y)+2
C. 4y^2+2=4(y+y)+2
D.4y^2+2= 4(y×y)+2

Answers

I'm 80% sure.
The Answer is: B

Because if I plugged all "y" with a the same number in the same postion they would equal the same.

For EX: 4*3+2+2=(4*3+2)+2
16 = 16

Hope this helps!

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