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3 years ago

10

Solve the following quadratic equation.

1 answer:

Viktor [21]3 years ago

3 0

Answer:

x = -7 and 7

Step-by-step explanation:

4x^2-10=186 add 10 on each side

4x^2 =196 divide by 4 on each side

x^2 = 49 take a √ on each side

x = -7,7

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What is an equation of the line that passes through the points (4, 4) and (8, 1)?

geniusboy [140]

Answer: y = -3/4x + 7

Step-by-step explanation:

first find slope:

y2-y1 / x2 - x1

1-4 / 8-4

-3/4

now just plug the slope (m) into the equation of a line using one of the points to find the y intercept

ill use (8,1)

1 = (-3/4)(8) + b

now solve :)

1 = -6 + b

7 = b

so now plug in the slope and the y intercept into the slope intercept form to find the equation of the line

y = -3/4x + 7

3 0

2 years ago

Which of the following equations has the same solutions as the equations 3x+2y=-12

Marianna [84]

B, C, E, F

<h2>Explanation:</h2>

In this problem, we have the following equation of a line written in Standard form:

$3x+2y=-12$

So we need to choose the equations that has the same solutions as this equation. If we multiply each equation by a constant term and find the same solution as the given equation, then they will have the same solution. This is only true fro options B, C, E and F.

Option B.

$-3x-2y= 12 \\ \\ Multiply \ both \ sides \ by \ -1: \\ \\ (-1)(-3x-2y)=(-1)(12) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

Option D.

$15x+10y= -60 \\ \\ Multiply \ both \ sides \ by \ 1/5: \\ \\ (\frac{1}{5})(15x+10y)=(\frac{1}{5})(-60) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

Option E.

$6x+2y= -12 \\ \\ Multiply \ both \ sides \ by \ 1/2: \\ \\ (\frac{1}{2})(6x+2y)=(\frac{1}{2})(-24) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

Option F.

$1.5x+y= -6 \\ \\ Multiply \ both \ sides \ by \ 2: \\ \\ (2)(1.5x+y)=(2)(-6) \\ \\ 3x+2y=-12$

So we get the same given equation. This option is valid!

For the other options, there is no any constant term that multiplies both sides of the equation and gives us the same given equation.

<h2>Learn more:</h2>

About this subject: brainly.com/question/8810210

#LearnWithBrainly

7 0

2 years ago

Help Me on this!!<br><br><img src="https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A

cricket20 [7]

$\qquad\qquad\huge\underline{{\sf Answer}}$

Here's the solution :

9. Statement : $\tt{VB\:\: bisects\;\; \angle EVO}$

Reason : $\tt Given$

10. Statement : $\tt \angle3 \cong \angle 4$

Reason : $\tt Definition \;\; of \;\; angle \;\; bisector$

11. Statement $\tt{VB\:\: bisects\;\; \angle EBO}$

Reason : $\tt Given$

12. Statement : $\tt \angle1 \cong \angle 2$

Reason : $\tt Definition \;\; of \;\; angle \;\; bisector$

13. Statement : $\tt \overline{BV }\cong \overline{BV}$

Reason : $\tt Common\:\: side$

14. Statement : $\tt \triangle \:BEV \cong \triangle \:BOV$

Reason : $\tt ASA \:\: postulate$

15. Statement : $\tt \angle E \cong \angle O$

Reason : $\tt Corresponding\;\;parts\:\: of\:\: Congruent \;\;Triangles$

7 0

2 years ago

A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears

arsen [322]

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

$Y_n\rightarrow N(\mu, \sigma^2)$

$\mu = 40n$

$\sigma^2=100n$

$n=20$

then,

The required probability will be:

= $P(Y_{20}>1000)$

= $P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )$

= $P(Z>\frac{1000-800}{44.7214} )$

= $P(Z>\frac{200}{44.7214} )$

= $P(Z>4.47)$

By using the table, we get

= $0.0000039110$

6 0

2 years ago

May someone help me with this, it's fairly easy.

Likurg_2 [28]

Answer:

A and B are correct

Step-by-step explanation:

Student C is wrong because they broke up 3/4 into

2/2 + 1/2

but 2/2 + 1/2 = 3/2, which is not equal to 3/4

7 0

2 years ago