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3 years ago

What is the value of x?

1 answer:

8 0

The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a

Vitek1552 [10]

Answer:

$2ab - 6a + 5b - 15$

Step-by-step explanation:

Given

$2ab - 6a + 5b + \_$

Required

Fill in the gap to produce the product of linear expressions

$2ab - 6a + 5b + \_$

Split to 2

$(2ab - 6a) + (5b + \_)$

Factorize the first bracket

$2a(b - 3) + (5b + \_)$

Represent the _ with X

$2a(b - 3) + (5b + X)$

Factorize the second bracket

$2a(b - 3) + 5(b + \frac{X}{5})$

To result in a linear expression, then the following condition must be satisfied;

$b - 3 = b + \frac{X}{5}$

Subtract b from both sides

$b - b- 3 = b - b+ \frac{X}{5}$

$- 3 = \frac{X}{5}$

Multiply both sides by 5

$- 3 * 5 = \frac{X}{5} * 5$

$X = -15$

Substitute -15 for X in $2a(b - 3) + 5(b + \frac{X}{5})$

$2a(b - 3) + 5(b + \frac{-15}{5})$

$2a(b - 3) + 5(b - \frac{15}{5})$

$2a(b - 3) + 5(b - 3)$

$(2a + 5)(b - 3)$

The two linear expressions are $(2a+ 5)$ and $(b - 3)$

Their product will result in $2ab - 6a + 5b - 15$

<em>Hence, the constant is -15</em>

3 0

3 years ago

Find each quotient using long division 676 ÷ 13 (need the full thing fast lol)

ra1l [238]

Answer:

Step-by-step explanation:

Ok then "cracks knuckles" heres an image of the division! hope it helps.

3 0

2 years ago

Find the slope of 10y = 7x + 5.<br> Round to the third.

hram777 [196]

Answer:

0.7

Step-by-step explanation:

10y = 7x + 5

Divide both sides by 10.

y = 7x/10 + 5/10

y = 0.7x + 0.5

On a straight line of the form y = kx + m, k is the slope of the line.

In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7

Answer: 0.7

8 0

3 years ago

Please help 30 points Asap

Andrej [43]

40 units2˛

Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).

The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.

The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.

L = sqrt((2 - -6)^2 + (1 - -1)^2)

L = sqrt(8^2 + 2^2)

L = sqrt(64 + 4)

L = sqrt(68) = 2*sqrt(17)

W = sqrt((2-3)^2 + (1- -3)^2)

W = sqrt((-1)^2 + 4^2)

W = sqrt(1 + 16)

W = sqrt(17)

And the area is length * width, so:

2*sqrt(17)*sqrt(17) = 2 * 17 = 34

And the total area is the sum of the areas, so

34 + 6 = 40

So the area of the figure is 40 square units.

7 0

3 years ago

Read 2 more answers

PLSSSSSSS HELPPPPPPPP AS SOOON AS YOU CANNN

ludmilkaskok [199]

Answer:

238.64 cm

Step-by-step explanation:

4 0

2 years ago

What is the value of x?​

What is the value of x?