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andrezito [222]
2 years ago
10

What is the solution to the equation Negative 3 (h + 5) + 2 = 4 (h + 6) minus 9?

Mathematics
1 answer:
ANTONII [103]2 years ago
5 0

Answer:

h=-4

Step-by-step explanation:

Use the Distributive law:

1. -3(h+5) gives us -3h-15 then you add your two(2).

the whole of your left side of the equation will give you -3h-13

2. 4(h+6) gives us 4h+24 then you subtract nine(9).

the whole of the right side of the equation will give you 4h+15

3. equate the two like this:

-3h-13=4h+15

4. group like terms of each side:

-13-15=4h+3h

5. Add and Subt<u>r</u>act

-28=7h

6. Decide both sides by 7 to make h the subject of the formula

7. Congratulations you got your answer as h=-4

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Answer:

19

Step-by-step explanation:

<u>Step 1:  Solve</u>

13 - (-6)

13 + 6

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Answer:  19

4 0
3 years ago
The sum of two numbers is 14. The first number 2/5<br> of the second number. What are the numbers?
Darina [25.2K]

Answer:

10 and 4

Step-by-step explanation:

2/5 of 10 is 4 so that is it

3 0
3 years ago
A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept<br> form.
trapecia [35]

Answer: y = \frac{1}{4}x - 3 \frac{1}{4}

Step-by-step explanation:

    Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.

    We are given the slope, so we will plug this in.

y = <em>m</em>x + <em>b</em>

y = (\frac{1}{4})x + <em>b</em>

<em />

    Now, we will solve for the y-intercept by plugging in the point they give us.

y = (\frac{1}{4})x + <em>b</em>

(-2) = (\frac{1}{4})(5) + <em>b</em>

-2 = 1.25 + <em>b</em>

-3 \frac{1}{4} = <em>b</em>

<em />

    Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = \frac{1}{4}x - 3 \frac{1}{4}

    <em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>

<em>brainly.com/question/13874293</em>

4 0
1 year ago
Read 2 more answers
Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​
vlada-n [284]

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3

4 0
3 years ago
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Romashka [77]
Area of entire figure = (16+12)(5)(0.5)(2)=140
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