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3 years ago

What are the solutions of x^2+5x=2? Check all that apply

Mathematics

2 answers:

Rudik [331]3 years ago

6 0

See the attachment..

astraxan [27]3 years ago

3 0

X^2+5x=2
you then solve by completing the square using the formula (b/2)^2 in order to create the new term. Solve for x by using this term to complete the square.
Your answer is then
x=-5/2+-√33/2

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a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ

omeli [17]

Answer:

The lengths of the sides of the square base are $2\sqrt{2}\ units$

Step-by-step explanation:

The correct question is

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the triangular prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

$V=Bh$

where

B is the area of the base

h is the height of the prism

If the volumes of the solids are the same and their heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

$(\sqrt{32})^2 =2x^2$

$x^2=32/2\\x^2=16\\x=4\ units$

The area of the triangular base is equal to

$A=\frac{1}{2}(4)(4)=8\ units^2$

step 2

Find the dimensions of base of the square prism

Let

b ---> the length side of the square base

The area of a square is given by the formula

$A=b^2$

we have

$A=8\ unit^2$ ----> is the same that the area of triangle

substitute

$8=b^2$

$b=2\sqrt{2}\ units$

therefore

The lengths of the sides of the square base are $2\sqrt{2}\ units$

3 0

3 years ago

Please and thank you!! 25 points!!

vagabundo [1.1K]

Answer:

1. 5

2. 6

3. 1

4. 4

5. 2

6. 3

Step-by-step explanation:

→Number 1 is paired with explanation 5, because it explains how a certain pair can be associated with one another, and provides the example of corresponding angles.

→Number 2 is paired with explanation 6, because the explanation states how angles are paired with one another based on the correspondence between them.

→Number 3 is paired with explanation 1, because the explanation states how sides are paired with one another based on the correspondence between them.

→Number 4 is paired with explanation 4, because the explanation is talking about how figures can be congruent to one another.

→Number 5 is paired with explanation 2, because the explanation states the definition of an included angle.

→Number 6 is paired with explanation 3, because the explanation states the definition of an included side.

6 0

3 years ago

PLZ ANSWER ASAP!

Lana71 [14]

Well x^2+10x-3 is a quadratic so we are looking for its lowest point (minimum). If you graph it the answer is (-5, -28) so A. You can do it algebraicallly (x+5)=0. X=-5 and look at -28 for y. Either way you get A as the local minimum/ lowest point of graph.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%28a%20%2B%202%20%29%20-%202%20%28a%20-%203%29" id="TexFormula1" title="4(a + 2 ) - 2 (a - 3)

satela [25.4K]

Answer:

$\large\boxed{2a+14}$

Step-by-step explanation:

$4(a + 2 ) - 2 (a - 3)\qquad\text{use distributive property:}\ a(b+c)=ab+ac\\\\=4a+8-2a-(-6)\qquad\text{combine like terms}\\\\=(4a-2a)+(8+6)\\\\=2a+14$

5 0

3 years ago

Match the polynomial in the left column with its descriptive feature in the right

katen-ka-za [31]

It’s should be letter A for it

8 0

3 years ago