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3 years ago

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Reflect the point (2, -4) over the y-axis. Question 1 options: (2, 4) (-2, -4) (-4, 2) (-2, 4) Question 2 will mark the brainlie

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1 answer:

o-na [289]3 years ago

3 0

Answer:

The coordinates of the image point will be (-2,-4).

Step-by-step explanation:

The reflection of the point (2,-4) over the y-axis is to be determined.

Now, as the reflecting mirror is the y-axis, then the y-coordinate of the reflecting point will not change.

So, the image point will have coordinates (h,-4).

Now, after the reflection over the y-axis, the x-coordinate of the image point will change the sign only compared to the original point.

Therefore, the coordinates of the image point will be (-2,-4). (Answer)

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Find the area of a rectangle with a perimeter of 12 meters and a base of 4 meters

stepladder [879]

Considering the perimeter (P)
$p = 2 \times b + 2 \times h$
where b is the base and h is the height, then
$12 = 2 \times 4 \times 2 \times h \\ \\ h = \frac{12 - (2 \times 4)}{2} \\ \\ h = 2$
Being the area (A)
$a = b \times h \\ \\ a = 4 \times 2 \\ \\ a = 8 {m}^{2}$

7 0

2 years ago

Please help me asap i will give brainiest and all my points

Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

$16^{5}+215$ by 33

$1,048,576 + 215$

$1,048,791$

We now then divide the total amount with 33.

$\dfrac{1,048,576}{33}$

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

$51^{7}-51^{6}$ by 25

$897,410,677,851 - 17,596,287,801$

$879,814,390,050$

We now then divide the total amount with 25.

$\dfrac{879,814,390,050}{25}$

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. $51^{7}-51^{6}$ IS divisible by 25.

Next on we have:

$5^{5}-5^{4} +5^{3}$ by 7

$3,125 - 625 + 125$

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

$2,500 + 125$

$2,625$

We now then divide the total amount with 7.

$\dfrac{2,625}{7}$

= 375

The total value did NOT return a decimal point, therefore making the equation true. $5^{5}-5^{4} +5^{3}$ IS divisible by 7.

$7^6+7^5-7^4$ by 11

$117,649+16,807-2,401$

$134,456-2,401$

$132,055$

We now then divide the total amount with 11.

$\dfrac{132,055}{11}$

= 12,005

The total value did NOT return a decimal point, therefore making the equation true. $7^6+7^5-7^4$ IS divisible by 11.

Last but not the least:

$5^{23}-5^{21}$ by 24

$11,920,928,955,078,125-476,837,158,203,125$

$11,444,091,796,875,000$

We now then divide the total amount with 24.

$\dfrac{11,444,091,796,875,000}{24}$

= 476,837,158,203,125

The total value did NOT return a decimal point, therefore making the equation true. $5^{23}-5^{21}$ IS divisible by 24.

5 0

3 years ago

Please help me with this.

Valentin [98]

The correct proportion of the corresponding sides is 2 : 3

<h3>How to determine the proportion?</h3>

From the question, we understand that the shapes are similar.

This means that:

Ratio = GHIJ : KLMN

From the figure, we have:

GH = 6 and KL = 9

So, we have:

Ratio = 6 : 9

Simplify the ratio

Ratio = 2 : 3

Hence, the correct proportion of the corresponding sides is 2 : 3

Read more about similar shapes at:

brainly.com/question/14285697

#SPJ1

8 0

2 years ago

What is the value of the problem below?

Hitman42 [59]

Answer:

90

Step-by-step explanation:

The first term = 6* 2^0 = 6

The second term = 6 * 2^ (2-1) = 6*2 = 12

The third term = 6* 2^(3-1) = 6*2^2 = 6*4 = 24

The fourth term = 6* 2^(4-1) = 6* 2^3 = 6*8 = 48

S4 is the sum of the 1st four terms

S4 = 6+ 12+24+ 48 = 90

7 0

3 years ago

Compare and contrast the solution of |2x + 8| > 6 and the solution of |2x + 8| < 6.

svet-max [94.6K]

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

3 0

3 years ago