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3 years ago

Solve the system of equations. y=3x+2 y=x^2-4+2

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

The solutions to the system of equations are (4, 15) and (-1,-1)

<h3>How to solve the system of equations?</h3>

The system of equations is given as:

y=3x+2

y=x^2-4+2

Substitute y=3x+2 in y=x^2-4+2

3x + 2=x^2-4+2

Simplify

x^2 - 3x - 4 = 0

Expand

x^2 + x - 4x - 4x = 0

Factorize

x(x + 1) - 4(x + 1) = 0

This gives

(x - 4)(x + 1) = 0

Solve for x

x = 4 and x = -1

Substitute these values in y=3x+2

y = 3(4)+2 = 15

y = 3(-1)+2 = -1

Hence, the solutions to the system of equations are (4, 15) and (-1,-1)

Read more about system of equations at:

brainly.com/question/12895249

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Is this answer correct if not send help

Aleonysh [2.5K]

I believe that is correct

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3 years ago

Find the exact circumference of a circle with the given radius.

kolbaska11 [484]

Answer:

The the exact circumference of a circle with the given radius is 200.96.

Step-by-step explanation:

Here, the radius of the given circle = 32 cm

The, Circumference of a Circle = 2 π r

So, here C = 2 x 3.14 x 32 (taking π = 3.14)

or C = 200.96

Hence, the the exact circumference of a circle with the given radius is 200.96.

4 0

3 years ago

I NEED HELP ASAP!!

siniylev [52]

Answer:

If a²+b²=c² then....

Step-by-step explanation:

....a(4)²+b(3)²=c(x)²

16+9=5² or 25

5 0

3 years ago

Read 2 more answers

A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the second brand is 95% pure anti

NeX [460]

Given:

A chemical company makes two brands of antifreeze.

The first brand is 70% pure antifreeze.

The second brand is 95% pure antifreeze.

We need to make 130 gallons of a mixture that contains 85% pure antifreeze.

Let we will use (x) gallons from the first brand

So, we will use (130 - x) from the second brand.

The mixture must contain 85% pure antifreeze.

So, we can write the following equation:

$70x+95(130-x)=85*130$

Solve the equation to find (x):

$\begin{gathered} 70x+95*130-95x=85*130 \\ -25x+12350=11050 \\ -25x=11050-12350 \\ -25x=-1300 \\ x=\frac{-1300}{-25}=52 \end{gathered}$

So, the answer will be:

First brand: 52 gallons

Second brand: 78 gallons

4 0

1 year ago

Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

DiKsa [7]

Answer: Around 68.0858 m

Step-by-step explanation:

Set the height of 37°-53°-90° triangle as x
Set the height of 50°-40°-90° triangle as y
The horizontal side both triangles share = 35

To find x To find y

$tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...$ $tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...$

To find the height of the building, add the x-value and y-value:

$x+y=26.3744+41.7114=68.0858$

<em>I hope this is correct o_o</em>

7 0

4 years ago