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mario62 [17]
3 years ago
6

Distributive Property Find what is x.

Mathematics
2 answers:
andreev551 [17]3 years ago
8 0
A) -9

-7(x+9)=9(x-5)-14x
-7x-63=9x-45-14x
-45 -45
-7x-18=9x-14x
+7x +7x
-18=9x+7x-14x
-18=2x
(-18)/2=(2x)/2
-9=x
Iteru [2.4K]3 years ago
6 0
-7(x + 9) = 9(x - 5) - 14x → Given
-7x - 63 = 9x - 45 - 14x → Distributive Property
-7x - 63 = -5x - 45 → Combine like terms (9x and -14x)
-12x - 63 = -45 → Addition property of equality (-7x and -5x)
-12x = 18 → Addition property of equality (Add 63 to both sides)
x = -³/₂ or -1 ¹/₂ or -1.5

Hope it helps.
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Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime
artcher [175]

<u>Answer:</u>

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

<u>Step-by-step explanation:</u>

Area of base of the pyramid = l × w = 4 × 6 = 24 cm^2

Volume of rectangular pyramid = (l × w × h)/3 = (4 × 6 × 9)/3 = 72 cm^3

Volume of rectangular prism = w × h × l = 9 × 4 × 6 = 216 cm^3

So according to these calculations, the correct answer options are:

B.The area of the base of the pyramid is 24cm^2.

C.A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

E.The volume of this pyramid is 72cm3.

4 0
3 years ago
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Whats the sqaure root of 50 simplfied
Rasek [7]
5 square root of 2......
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3 years ago
The reflection of a point P across a line m is the
masya89 [10]

Answers:  perpendicular bisector;  image

  • The reflection of a point P across a line m is the point P' if line m is the <u>   perpendicular bisector    </u> of segment PP'
  • Point P' is called the <u>     image    </u> of point P.

=============================================================

Explanation:

If we were to reflect point P over line m to land on P', then we've gone from pre-image to image.

Let's say that Q is the point on segment PP' and it's also on line m. We consider Q the midpoint of segment PP' which means PQ and P'Q are the same length. This indicates P and P' are the same distance away from the mirror line, and that point Q bisects segment PP'. Also, line m is perpendicular to segment PP'. So that's where the "perpendicular bisector" comes from.

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2 years ago
Solve each system by substitution. Check your answers.<br> 4x+2y=7 , y = 5x
Kazeer [188]

By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

4x + 2y = 7     (equation 1)

y = 5x     (equation 2)

Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.

4x + 2y = 7     (equation 1)

4x + 2(5x) = 7

4x + 10x = 7

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

4x + 10x = 7

14x = 7

x = 1/2

Substitute the value of x in the second equation and solve for y.

y = 5x

y = 5(1/2)

y = 5/2

Hence, the solution of the given system of equations is (1/2 , 5/2).

To learn more about solving systems of equations: brainly.com/question/25869125

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5 0
1 year ago
Rasheed is contemplating whether to buy a membership for a trampoline park, which is $50 a year. As a
docker41 [41]

Answer: 28 hours

Step-by-step explanation:

Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).

Cost without membership= 12h

With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)

Cost with membership = 50 +12 (0.85) h

If both cost are equal:

50 +12 (0.85) h = 12 h

Solving for h

50+10.2h =12h

50= 12h-10.2h

50= 1.8h

50/1.8= h

27.78 =h

h =28 (rounded)

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3 years ago
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