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Burka [1]
3 years ago
11

fill in the empty spaces ANSWERS 1 21 -7 7 6 24 -1 .5 2.4(5h+10)-3=27 12h+__-3=27 12h+__=27 12h=__ h=__

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0

Answer:

h = 1/2

Step-by-step explanation:

Step 1: Write equation

2.4(5h + 10) - 3 = 27

Step 2: Distribute

12h + 24 - 3 = 27

Step 3: Combine like terms

12h + 21 = 27

Step 4: Subtract 21 on both sides

12h = 6

Step 5: Divide both sides by 12

h = 6/12

Step 6: Simplify

h = 1/2

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The statement is false.
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Find the equation of a line parallel to 2x-2y=-4 that passes through the<br> point (3,9).
erastovalidia [21]

The line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

y = mx + b

where,

m = the slope of the line

b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

-2y = -4-2x

y = -4/-2 - 2x/-2

y = 2+x

y = x+2

On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

⇒ y-9 = 1(x-3)

⇒ y-9 = x-3

⇒ y = x-3+9

⇒ y = x+6

⇒ x-y = -6

Therefore, the line which is parallel to 2x-2y=-4 that passes through the

point (3,9) is x-y = -6.

Hence, x-y = -6 is the required answer.

Learn more in depth about similar problem at brainly.com/question/1884491

#SPJ1

7 0
1 year ago
A map has a scale of 1 cm to 16 km.
ra1l [238]
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The real distance is 369.6km.
4 0
2 years ago
Triangle ABC is an isosceles triangle, and side BC is congruent to side AC. If side AC equals 40 centimeters, and AB is one-half
Alik [6]

Answer:

100 cm

Step-by-step explanation:

Given:

AC = BC

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Simplify:

BC = 40

Simplify:

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Algebra:

AB = 20

Here's the sides:

AB = 20

AC = 40

BC = 40

Add all of them together:

100

8 0
2 years ago
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