Tell whether the ordered pair is a solution of the inequality.
-6x + 4y = 6; (-3, -3)
O Yes, it is a solution
No, it is not a solution

Answer:

D. Neither congruent nor similar.

Step-by-step explanation:

Plato/Edmentum Answer

Given figures are neither congruent nor similar.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

We must compare the equivalent sides and angles of two figures in order to determine if they are congruent or comparable.

As congruent figures are the same in size and shape, their corresponding sides and angles are also identical in size. We simply need to identify one set of related sides or angles that are not equal to demonstrate that two figures are not congruent.

Comparable figures have the same form but different sizes, therefore their corresponding sides are proportionate even though their corresponding angles are equal in size. Finding one pair of matching angles that are not equal or a pair of corresponding sides that are not proportional will demonstrate that two figures are not similar.

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By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for

x ² + 3x + 2 = (x + 1) (x + 2) > 0   →   x < -2   or   x > -1

(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)

Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:

[tex]\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2[/tex]

Solve the remaining quadratic:

x ² + 3x + 2 = 2

x ² + 3x = 0

x (x + 3) = 0

x = 0   or   x = -3

Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.

Answer:

5/6

Step-by-step explanation:

Answer:

Well if each plate is 5.70 then the answer is 34.2

Step-by-step explanation:

Each plate was $0.95 if that's what you're trying to figure out but you didn't really specify what we were looking for

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

Answer:

$55

Step-by-step explanation:

Let w = the no. of weeks

35 + 2.50w = amount you will have in the account after w weeks

115 - 7.5w = amount cousin will have in the account after w weeks

You need to set these expressions equal to each other.

35 + 2.50w = 115 - 7.5w     Multiply thru the equation

                                            by 10  to remove the fractions

350 + 25w = 1150 - 75w

100w = 800

w = 8 weeks

35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55

115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

[tex] \frac{4}{3} \times \pi \times r ^{3} [/tex]

[tex] \frac{4}{3} \times \pi \times 7^{3} [/tex]

=1436.75504cm³

to 1dp

=1436.8cm³

Step-by-step explanation:

it's average value is 7 which is shown as solved given

Answer:

12^2 is 144 and 10^2 is 100 :)

Step-by-step explanation:

12 * 12 = 144

10 * 10 = 100

The sum of the 12th square number and the 10th square number is 244. This problem is based on the principle of addition.

The principle of addition states that when two numbers are added together, their sum is a unique number which is not necessarily be divisible by either the numbers or their factors. The addition is inverse operation of the subtraction.

The square of 12th number is 12² = 12 × 12 = 144.

The square of 10th number is 10² = 10 × 10 = 100.

The sum of both numbers = 144 + 100 = 244.

Hence, the answer to the given problem is 244.

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Answer:

Step-by-step explanation:

[tex]16^{\frac {3}{4}[/tex] = [tex]\sqrt[4]{16^{3}}[/tex]

So, 16 to the power of 3 equals 4096

[tex]\sqrt[4]{4096}[/tex] = [tex]\sqrt[4]{8^{4}}[/tex]

=8

Answer:

(6,-11)

Step-by-step explanation:

Answer:

49x+18+49y

Step-by-step explanation:

Answer:

15 CM

Step-by-step explanation:

Both sides are same length proven by the same angles making botrh sides 15 cm

Answer:

(0, -10), (2, 0), (-2, -50)

Step-by-step explanation:

Plug in numbers for the x and solve for it

I will start with 0

y = 5(0 - 1)^2 - 5

y = 5(-1) - 5

y = -5 - 5

y = -10

2

y = 5(2 - 1)^2 - 5

y = 5(1) - 5

y = 5 - 5

y = 0

-2

y = 5(-2 - 1)^2 - 5

y = 5(-9) -5

y = -45 - 5

y = -50

You just keep plugging in numbers until your graph finds its shape. Of course, you can chart the numbers I have already found.

Answer:

x = 65

Step-by-step explanation:

Triangle interior angle sum is 180 degrees.

2x + 25 + 25 = 180

2x = 130

x = 65

Answer:

65

Step-by-step explanation:

OK so we know that the bottom line shows a 180 degrees angle

so 180-25+25 = 180-50 = 130

Now divide 130 by 2 and you should get 65.

Hope this helps..!!

Answer:

Total ramp system length in feet: Includes the minimum number of 5′ x 5′ resting platforms and the 5′ x 5′ platform at the top of the ramp.

Step-by-step explanation:

hope this helps!

Answer:

add me

Step-by-step explanation:

Answer:

Sam gets £30 and Bethan gets £24

Step-by-step explanation:

5:4

5+4=9

£54/9= £6

£6 x 5= £30

£6 x 4 = £24

Therefore, Sam gets £30 and Bethan gets £24

Answer:

see explanation

Step-by-step explanation:

(a)

The turning point is the vertex of the graph

The coordinates are (2, - 4 )

(b)

The zeros are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at

x = - 1, x = 5 ← zeros

(- 1, 0 ), (5, 0 ) in coordinate form

Answer:

zero

Step-by-step explanation:

Answer:

the fist one is D) 63.5

the second one is A) 32.9

i hope these are the answers you are looking for

Step-by-step explanation:

Answer:

I don't know.

Step-by-step explanation:

I don't know.

Answer:

25x + 50y <= 500

Answer:

I think B but Im not 100% sure