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kramer
2 years ago
9

What is 9x-4+3(x-11)=23

Mathematics
2 answers:
Orlov [11]2 years ago
6 0
Hi there

9x -4 +3(x -11) = 23
Use the distributive property
9x -4 +3(x) -3(11) = 23
9x -4 + 3x - 33  = 23
Combine like terms
9x +3x -4 - 33 = 23
12x - 37 = 23
12x = 23 + 37
12x =60
x = 60/12
x = 5

I hope that's help !


goldenfox [79]2 years ago
5 0
9x-4+3(9x-11)=23
9x-4+27x-33=23
9x+27x=23+4+33
36x=60
x=5/3
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use coordinate notation to write the rule that maps each preimage to its image. The identify the transformation and confirm that
Ymorist [56]

The <em>rigid</em> transformations used for each figure:

  1. Figure 5 - Reflection around x and y axes: (x, y) → (- x, - y)
  2. Figure 6 - Horizontal and vertical translations: (x, y) → (x + 1, y - 2)

<h3>What transformation rules do create the resulting images?</h3>

In this question we must determine what kind of <em>rigid</em> transformations generates each image. <em>Rigid</em> transformations are transformations applied on geometric loci such that <em>Euclidean</em> distance is conserved. Now we proceed to determine the transformation rule for each case:

Figure 5 - Reflection around the x-axis followed by reflection around the y-axis.

(x, y) → (- x, - y)

Figure 6 - Translation one unit in the +x direction and two units in the -y direction.

(x, y) → (x + 1, y - 2)

To learn more on transformation rules: brainly.com/question/9201867

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2 years ago
12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.​
ivanzaharov [21]

Answer:

32

Step-by-step explanation:

given the triangle is right triangle

c^2 = a^2 + b^2

40^2 = 24^2 + b^2

1600 = 576 + b^2

b^2 = 1024

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6 0
2 years ago
Suppose a couple planned to have three children. Let X be the number of girls the couple has.
sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

c)

P(X=2) = \dfrac{3}{8}

d)

P(\text{3 boys}) = \dfrac{1}{8}

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

Favorable outcome: {GGB, GBG, BGG}

P(X=2) =\dfrac{3}{8}

d) probability that the couple have three boys.

Favorable outcome: {BBB}

P(BBB) = \dfrac{1}{8}

8 0
3 years ago
Mr Gordon bought 2 1/2 pounds of apples 1.25 pounds of pears and 3 3/4 pounds of oranges to his sister on the way home . How man
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The answer would be 7.5 pounds of fruit.
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3 years ago
Read 2 more answers
Volume of this cone
ArbitrLikvidat [17]

Answer:

669.9 ft³

Step-by-step explanation:

The formula for volume of a cone:

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The radius is 8; the height is 10.

From here, we can just plug the numbers into the formula.

\pi 8^2*\frac{10}{3} (3.14*8*8*\frac{10}{3} ) = 669.866666667.

669.866666667 ≈ 669.9.

7 0
2 years ago
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