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2 years ago

If a= m2 + 2, what is the value of a when m=-3? 0-7 -4 11 00

Mathematics

1 answer:

vladimir1956 [14]2 years ago

6 0

Answer:

a=11

Step-by-step explanation:

a=m2 +2

a= (-3)2+2

a=9+2

a=11

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Help math look at pic

Sloan [31]

Answer: $\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}$

Step-by-step explanation:

Given the system of equation

$1)~y=-(x+2)^2+1$

$2)~y=2x+5$

Expand the parenthesis of the 1) equation

$y=-(x+2)^2+1$

$y=-(x^2+4x+4)+1$

$y=-x^2-4x-4+1$

$y=-x^2-4x-3$

Current System

$1)~y=-x^2-4x-3$

$2)~y=2x+5$

Substitute the y value of the 1) equation with the 2) equation

$2x+5=-x^2-4x-3$

Add ( x² + 4x + 3) on both sides

$2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)$

$2x+5+x^2+4x+3=0$

Combine like terms

$x^2+2x+4x+5+3=0$

$x^2+6x+8=0$

Factorize the quadratic equation

$(x+4)(x+2)=0$

$x=-4~\text{or}~x=-2$

Substitute the x values into one of the equations to find the y value

$y=2x+5$

$y=2(-4)+5=-8+5=-3$

$y=2(-2)+5=-4+5=1$

Therefore, the two solutions are:

$\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}$

Hope this helps!! :)

Please let me know if you have any questions

8 0

1 year ago

17. The sum of interior angles in a polygon is related to its number of sides.

bonufazy [111]

s = 1800°

To find the sum of interior angles in a polygon you can use the following equation

$(sides - 2) * 180\\\\(12 - 2) * 180\\(10) * 180\\1800\\$

If this helped you a Brainliest would be appreciated!

6 0

2 years ago

Read 2 more answers

Jasmine found a wooden jewellery box shaped like a right rectangular prism. What is the volume of the jewellery box? MY TEACHER

sergiy2304 [10]

Answer:

Volume = Length × Width × Height

Step-by-step explanation:

A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a right rectangular prism, we use the following expression.

Volume = Length × Width × Height