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2 years ago

Which function is equivalent to y = 3(x + 2)2 + 7 ?

Mathematics

2 answers:

RSB [31]2 years ago

6 0

Answer:

y equals 3xexponent plus 19

stepladder [879]2 years ago

4 0

Answer:

Step-by-step explanation:

Assuming the "2" after the "(x+2) is a square, the answer would be 3x^2+13x+19.

$(x+2)^2=x^2+4x+4\\3(x^2+4x+4)=3x^2+12x+12\\3x^2+12x+12+7=3x^2+12x+19$

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7 times the quantity y divided by 4

Anarel [89]

1.75 is the answer. Hope this helps.

4 0

2 years ago

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?

Ket [755]

Option C: $220 \ cm^2$ is the surface area of the rectangular prism

Explanation:

The height of the rectangular prism is 5 cm

The width of the rectangular prism is 10 cm

The depth of the rectangular prism is 4 cm

We need to determine the surface area of the rectangular prism.

The surface area of the rectangular prism can be determined using the formula,

$A=2(w l+h l+h w)$

Substituting $w=10$ , $h=5$ and $l=4$ in the formula, we get,

$A=2 \cdot(10 \cdot 4+5 \cdot 4+5 \cdot 10)$

Multiplying the terms within the bracket, we have,

$A=2 \cdot(40 +20+5 0)$

Adding all the values within the bracket, we get,

$A=2 \cdot(110)$

Multiplying, we have,

$A=220$

Thus, the surface area of the rectangular prism is $220 \ cm^2$

Hence, Option C is the correct answer.

4 0

3 years ago

Read 2 more answers

Need help with both of these please!! ASAP

Alik [6]

x = 1

Answer:

$m\angle XVW = 100\degree$

Step-by-step explanation:

In the first figure, FP is the bisector of $\angle DFE$

$\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}$

In the second figure, VP is the bisector of $\angle XVW$

$\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\$

8 0

3 years ago

Formulate a rational algebraic equation of the problem

liubo4ka [24]

Answer:

comment the question I will try to solve it.....

5 0

2 years ago

What is the value of x?

uranmaximum [27]

Answer:

$x=\frac{160-51}{2} =54.5$ °

Step-by-step explanation:

"Theorem 9-13: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."

Basically no matter what other circle, secant or tangent you get, you just use the formula $Outer\angle=\frac{far.point - near.point}{2}$

If you need the outer angle, just put the other angles in and solve

If you need the far or near point angle, re-arrange the formula to get that value.

6 0

2 years ago