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What are the coordinates of the midpoint of the line segment with endpoints
B(9, −8) and C(2, −5)? Enter your answer as a decimal or integer in the boxes.
( , )

Answer:

Step-by-step explanation:

D)10

Answer:

5+ 2(3+2x) = x + 3(x+1) or B

Step-by-step explanation:

correct on edge 2021

The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

First, 4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x+ 12

0 = 0

Thus, the equation have No solution.

Second, 5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 6x = x + 3x + 1

6x+ 11 = 4x+ 1

2x = -10

x= -5

Thus, the equation have one solution.

Third, 5(x + 3) + x = 4(x + 3) + 3

5x+ 15 +x = 4x + 12 + 3

6x +15 = 4x + 15

2x = 0

x= 0

Thus, the equation have one solution.

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Answer:

Step-by-stPart A

Answer: 7/36

This is in fraction form

The decimal version of this number is roughly 0.1944

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To get this answer, we multiply the fractions 7/9 and 2/8

The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)

The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over

Multiply the fractions to get:

(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36

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Part B

Answer in fraction form: 1/36

Answer in decimal form: 0.0278 (which is approximate)

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We have 2 white out of 9 total. So the probability of getting white the first time is 2/9

After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8

Multiply the fractions:

(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36

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Part C

Answer: There is a greater chance to get two purple in a row

Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.

If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above. 

The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833

In summary, 

the probability of selecting two white marbles in a row is 0.0278

the probability of selecting two purple marbles in a row is  0.5833

we see that the probability for the two purple marbles is much greater

Answer:

1.5 i think

Step-by-step explanation:

6/4=1.5

44+72=116

180-116=64

3rd angle=64

64+44+72=180

44+72=116

180-116=64

3rd angle=64

Answer:

Step-by-step explanation:

The answer is B

Solution:

we are given that ΔABC and ΔXYZ are similar triangles.

As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.

Here we have

BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4

So we can write

[tex] \frac{x+9}{x+5}= \frac{x+7}{x+4}\\ \\ (x+9)(x+4)=(x+7)(x+5)\\ \\ x^2+13x+36=x^2+12x+35\\ \\ 13x-12x=35-36\\ \\ x=-1\\ \\  [/tex]

Hence then value of x=-1.

Answer:

-1

Step-by-step explanation:

Answer:

Domain (-∞,4)U(4,∞)

Step-by-step explanation:

Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.

In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex]  we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.

According to the explanation our domain would be all the numbers but 4 like this:

Domain (-∞,4)U(4,∞)

Answer:

Step-by-step explanation:

Distance between two points a and b  using the absolute value is given by

|b-a|.

Here we have a=-13

and b =17

so

Distance = | 17- (-13) |

Distance = |17 +13 |

Distance = | 30 |

Distance = 30 units

In absolute value, the distance is written as |30|

The given points:

[tex](x_1, x_2) = (-13, 17)[/tex]

To find:

The distance between the two points on a number line is calculated as;

[tex]Distance = \sqrt{(x_2-x_1)^2} \\\\Distance = \sqrt{(17--13)^2}\\\\Distance = \sqrt{(30)^2} \\\\Distance = + /- \ \ 30[/tex]

In absolute value, the distance is written as;

Distance = |30|

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Answer:the answer is c

Step-by-step explanation:

I just did the test I got at 100

The size of the painting is [tex]\( \frac{13}{3} \) inches by \( \frac{17}{3} \)[/tex] inches.

If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.

To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.

For the length:

[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]

For the width:

[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]