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Kitty [74]
3 years ago
14

4) Which expression is equivalent to (-4x+3y-5)2 ?

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

-8x + 6y - 10

Step-by-step explanation:

first, distribute (multiply) the 2 to eliminate the parentheses to get:

2(-4x) + 2(3y) - 2(5) which simplifies to:

-8x + 6y - 10

since the above expression has three terms, none of which are 'like', this is as simplified as it can be

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This is how it is done. Let me know if you have questions...

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Find the surface area of the tin game case
butalik [34]
To find the surface area you will need to find the area of all 5 surfaces (faces) on the prism.  On a triangular prism there are 2 triangular faces and 3 rectangular faces.  All 3 rectangular faces are the same and the 2 triangular faces are also the same.

To find the area of the triangular faces, you will use the formula for finding the area of a triangle:

A = 1/2bh
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The minimum amount of wrapping paper needed for the gift is 177 square inches.
8 0
3 years ago
given the equation y-5=5x determine whether the points (2,12) and (-2,-5) are a solution on the graph
Flura [38]
(x,y)
sub points to see if we get true statemtn

(2,12)
x=2 and y=12

12-5=5(2)
7=10
false
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(-2,-5)
x=-2
y=-5

-5-5=5(-2)
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true
(-2,-5) is a soltuion

(-2,-5) is the only solution given that works
6 0
3 years ago
The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming
amm1812
The joint relative frequency values are the top-left four squares, or the intersection of 2 variables, divided by the total number in the bottom-right corner, which is 96. 

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7 0
3 years ago
Read 2 more answers
In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
3 years ago
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