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3 years ago

Name the pairs of vertical angles

Mathematics

1 answer:

jonny [76]3 years ago

3 0

Answer:

right angel obtuse angle and i cant remember the other angle

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What is the sum of (2x + 9) + (5x - 7)

tekilochka [14]

Answer:

7x+2

Step-by-step explanation:2 plus 5 is 7 and 9 plus negative 7 is 2 so the answear is 7x+2 hope this helps god bless

4 0

3 years ago

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Please help me! Due soon!

givi [52]

Answer:

70/9

Step-by-step explanation:

We have the quadratic:

$3x^2+4x-9$

So, let’s find the roots of the quadratic. We will set the expression equal to 0:

$3x^2+4x-9=0$

Testing for factors, we can see that our quadratic isn’t factorable.

So, we can use the Quadratic Formula. The quadratic formula is given by:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case:

$a=3, b=4,\text{ and } c=-9$

Therefore, by substitution:

$\displaystyle x=\frac{-(4)\pm\sqrt{(4)^2-4(3)(-9)}}{2(3)}$

Evaluate:

$\displaystyle x=\frac{-4\pm\sqrt{124}}{6}$

Simplify the square root:

$\sqrt{124}=\sqrt{4\cdot31}=2\sqrt{31}$

Hence:

$\displaystyle x=\frac{-4\pm2\sqrt{31}}{6}$

Reduce:

$\displaystyle x=\frac{-2\pm\sqrt{31}}{3}$

So, our roots are:

$\displaystyle x_1=\frac{-2+\sqrt{31}}{3}, x_2=\frac{-2-\sqrt{31}}{3}$

We want to find the sum of the <em>squares</em> of our two roots. So, let’s square each term:

$\displaystyle (x_1)^2=\Big(\frac{-2+\sqrt{31}}{3}\Big)^2$

Square. For the numerator, we can use the perfect square trinomial patten where:

$(a+b)^2=(a^2+2ab+b^2)$

Therefore:

$\displaystyle (x_1)^2=\Big(\frac{(-2)^2+2(-2)(\sqrt{31})+(\sqrt{31})^2}{9}\Big)$

Simplify:

$\displaystyle (x_1)^2=\frac{35-4\sqrt{31}}{9}$

Similarly, for the second root, we will have:

$\displaystyle (x_2)^2=\Big(\frac{-2-\sqrt{31}}{3}\Big)^2$

So:

$\displaystyle (x_2)^2=\Big(\frac{(-2)^2+2(-2)(-\sqrt{31})+(-\sqrt{31})^2}{9}\Big)$

Simplify:

$\displaystyle (x_2)^2=\frac{35+4\sqrt{31}}{9}$

Therefore, our sum will be:

$\displaystyle (x_1)^2+(x_2)^2\\\\ \begin{aligned} &=\frac{35-4\sqrt{31}}{9}+\frac{35+4\sqrt{31}}{9}\\&=\frac{35-4\sqrt{31}+35+4\sqrt{31}}{9}\\&=\frac{70}{9}\end{aligned}$

Therefore, our final answer is 70/9.

3 0

3 years ago

What is the percent of change from 14 cupcakes to 23 cupcakes?

Andrej [43]

Answer:

The Answer For a this Question is 64

8 0

3 years ago

State all possible names for the figure part 3

qwelly [4]

Answer:

quadrilateral,parallelogram

Step-by-step explanation:

A quadrilateral is a four-sided polygon.

A parallelogram is a quadrilateral with two sets of parallel sides, much like a rectangle, but with no right angles.

7 0

3 years ago

(Givng Good Points!)

julsineya [31]

Simple interest formula :

total = starting amount x (1 + ( interest rate x time))

total = 500 x (1 + (.03 x5))

Total = 575

Interest = 575-500 = 75

answer: $75

7 0

2 years ago

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