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belka [17]
3 years ago
6

-4(n - 6) = 12 Solve the Equation.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0
-4(n - 6) = 12

n - 6 = -12/4   divide both sides by -4

n - 6 = -3

n = -3 + 6    add both sides by 6

n = 3

hope that helps, God bless!
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A rectangular garden measures 25ft by 30ft . Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this pa
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The answer is circled in yellow.

4 0
2 years ago
Write the equation of a quadratic function who has the vertex of (4,-7)
timama [110]

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

y=a(x-h)^2+k          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

y=a(x-4)^2+(-7)

y=a(x-4)^2-7

The required equation of the quadratic function is y=a(x-4)^2-7 where, a is a constant.

Putting a=1, we get

y=(1)(x-4)^2-7

y=(x^2-8x+16)-7             [\because (a-b)^2=a^2-2ab+b^2]

y=x^2-8x+9

Therefore, the required quadratic function is y=x^2-8x+9.

6 0
2 years ago
Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the
Alenkinab [10]

Answer:

The estimated area is 416\frac{13}{16}\ ft^{2}

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft

14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft

step 2

Find the area of one wall

(\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}

step 3

Multiply the area of one wall by 3

(3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}

step 4

Convert to mixed number

\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}

4 0
3 years ago
What is one thousand five hundred divided by five equal
Vikki [24]

Answer: 300

We know that 5×3=15. Since we are trying to get 1500 we Multiply 300×5 and get 1500.

<u>How do we know?</u>

  • As you can see if you cross out 2 of the 0 in 300 you have 3×5. When you multiply it you get 15.
  • Also if you cross out 1 of the 0 in 300 you have 30×5. When you multiply that you get 150.

As you see when you still multiply either of those problems you have 15 in it. So we should know 300×5=1500.

Note: We can also multiply 500×3 and get 1500. You still get the same answer but just switched numbers.

5 0
3 years ago
Read 2 more answers
Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.
alukav5142 [94]

Answer:

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Two lines with slopes m_1 and m_2 are parallel when m_1=m_2 and are perpendicular when m_1*m_2=-1

Now determine the slope of all the lines

The line jk passes through the points

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To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

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Neither parallel nor perpendicular.

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Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0
3 years ago
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