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Bezzdna [24]
3 years ago
9

How do you solve linear equations by subsitutions

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0
1) First, solve one linear equation for y in terms of x .

2) Then substitute that expression for y in the other linear equation.

3)Solve this, and you have the x -coordinate of the intersection.

4)Then plug in x to either equation to find the corresponding y -coordinate.


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The radius of a circle is 10 cm. Find its circumference in terms of pi
sergejj [24]

Answer:

20 pi is the correct answer

5 0
3 years ago
why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)
GaryK [48]
<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

... -1 = a(0 -2)² +3

... -4 = 4a . . . . . . . . . subtract 3, simplify

... -1 = a . . . . . . . . . . . divide by 4

Now, we know the function is ...

... f(x) = -(x -2)² +3

5 0
3 years ago
On picture day, 3 times as many girls wore dresses rather than pants. If there are 12 girls in the class, how many wore a dress?
katrin2010 [14]

Answer:

36

Step-by-step explanation:

3 * 12 = 36

if there are 12 girls and 3 times more wore dress then 3 times 12 is 36.

3 0
3 years ago
Read 2 more answers
A park has a large circle painted in the middle of the playground area.thecircle is divided into 4 equal sections And each secti
lilavasa [31]

Answer:

The area of each section of the circle is 25\pi\ m^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=10\ m

substitute

A=\pi (10^{2})=100\pi\ m^{2}

To find the area of each section divide the complete area of the circle by 4

so

100\pi\ m^{2}/4=25\pi\ m^{2}

8 0
4 years ago
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the lengt
Triss [41]

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

3 0
3 years ago
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