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2 years ago

Which of the following is equal to the opposite of −45? −|45| −(−45) −|−45| −45

Mathematics

1 answer:

inessss [21]2 years ago

7 0

Answer:

Step-by-step explanation:

It's B because two negatives equal a positive.

C. The absolute value of -45 is 45, leaving the extra negative to hang on in there ---> -|-45|= 45= (bring the negative back over) -45

D. Self explanatory its -45 alone lol.

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What is the simplest radical form of 20

Oksi-84 [34.3K]

5 is the correct answer kind sir

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3 years ago

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1. Write an equation of the line with a slope of -2 and a y-intercept of 6 in slope-intercept form.

ivolga24 [154]

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope, b is the y-intercept (when x=0).

is already defined

y = -2x + 6

the slope is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

(-3, -5) and (2, 5).

x changes by +5 units (from -3 to 2), y changes by +10 units (from -5 to +5).

so, the slope is 10/5 = 2

that gives us the first part of the equation :

y = 2x + b

we get b by using the coordinates of one of the points as x and y. e.g. (2, 5)

5 = 2×2 + b = 4 + b

1 = b

so, the full line equation is

y = 2x + 1

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2 years ago

What is the equation of the circle?

MakcuM [25]

Answer:

○ $\displaystyle (x - 4)^2 + (y + 2)^2 = 25$

Explanation:

Accourding to one of the circle equations, $\displaystyle (x - h)^2 + (y - k)^2 = r^2,$ the centre of the circle is represented by $\displaystyle (h, k).$ Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

$\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}$

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

$\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}$

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

6 0

2 years ago

I'm doing multiply to find an equivalent fraction what do 5/6 equal

devlian [24]

5/6= 10/12 15/18 Add 5/Add 6

8 0

3 years ago

Read 2 more answers

How do I find the volume of this solid shape?

olganol [36]

Answer: 17.28

Step-by-step explanation:

To figure out the volume of this solid you will need to do a multiplication problem. Use the equation *r^2*h

Pi = 3.14

R= 1

H= 5.5

So answer will be 17.28 ( because we round it up!)

Now for cubes you will need to use the equation V=L*W*H

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2 years ago