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4 years ago

Question 2

Mathematics

1 answer:

alina1380 [7]4 years ago

5 0

6/6 is not correct 88/88 jeo

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Write the slope-intercept form of the equation of the line that is parallel to AB and passes through Point X. Show all

DanielleElmas [232]

find y=mx+b for line parallel to AB.

The line that is parallel will have the same slope as line AB:

the slope of line AB is

m=(8-3)/(-10-2)

=5/-12

=-5/12

Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).

at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.

To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so

4+4=8

7 0

3 years ago

What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25

Jobisdone [24]

Answer:

The coordinate of the vertex of the parabola is (h,k) = (3,20)

Step-by-step explanation:

The given equation of the parabola is $y=-5x^2+30x-25$

Now, the General Parabolic Equation is of the form:

$y = a (x-h)^2 + k$ , then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

$y=-5x^2+30x-25 = -5(x^2 -6x + 5)$

Using the COMPLETE THE SQUARE METHOD,

$-5(x^2 -6x + 5) = -5(x^2 -6x + (3)^2 + 5 - (3)^2)\\\implies -5(((x^2 -6x +(3)^2) + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20$

or $y = -5(x-3)^2 + 20$

⇒The general formed equation of the given parabola is

$y = -5(x-3)^2 + 20$

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the vertex of the parabola is (h,k) = (3,20)

5 0

4 years ago

A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb pe

AveGali [126]

First we must find the volume of the cube. This is equal to side^3. 4^3=64 cubic inches. Since the pebbles are .5 pounds per cubic inch and we assume it is packed we multiply the volume by .5
This will give 32 pounds

4 0

3 years ago

What is the first and second, both have the same answers

padilas [110]

Answer:

Step-by-step explanation:

4 0

3 years ago

35+14 distributive property

Lera25 [3.4K]

Answer:

7(2)+7(5) {using distributive property}

14+35 {7 multiplied by 2 gives 14 and 7 multiplied by 5 gives 35}

49 {therefore 35+14 gives 49}

Step-by-step explanation:

Your answer is 49

Hope this helps :)

5 0

3 years ago

Read 2 more answers