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3 years ago

11

What is 68−−√ in simplest radical form?

1 answer:

MariettaO [177]3 years ago

6 0

I think you mean $\sqrt{68}$ so I will just simplify that.

$\sqrt{68}=\sqrt{4}*\sqrt{17}=2\sqrt{17}$

answer: $2\sqrt{17}$

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What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

otez555 [7]

Answer:

After the reflection over the line y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line y = -x, the image of the point is: (-3,-2)

4 0

3 years ago

2ln(5x)=8 solve for x

White raven [17]

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8 0

3 years ago

Read 2 more answers

A parallelogram with an area of 60 square units is formed by four lines in a coordinate plane. The parallelogram has one vertex

Alika [10]

Answer:

The answer above is wrong, the line is actually supposed to be one to the left, so it would be going through (7,4) and (2,-2)

Step-by-step explanation:

8 0

3 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

Answer the question for brainliest. If answered and explained well I’ll give brainliest

Step2247 [10]

Answer:

No

Step-by-step explanation:

n₁=4

n₂=9

n₃=16

We can see that all three numbers are perfect squares of one higher than the figure number

So, n₁₅=(15+1)²=16₂=256

256≠225

4 0

3 years ago