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3 years ago

Use the substitution method to solve the following system of equations:

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

8 0

3x + 5y = 3
x + 2y = 0

3x + 5y = 3
-3x -6y = 0

-y = 3
y = -3

x + 2y = 0
x + -6 = 0
x = 6

The answer is B (6,-3).

jeka943 years ago

3 0

The answer is B (6,-3).

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What is the surface area?

olasank [31]

Hello from MrBillDoesMath!

Answer:

152 in^2

Discussion:

Surface area =

2 (area of side triangle + area of rectangle face) +

area of bottom rectangle

= 2 ( (1/2) 6*4 + 5*8 ) + 8*6

= 2 ( (1/2) 24 + 40 ) + 48

= 2 (12 +40 ) + 48

= 2(52) + 48

= 104 + 48

= 152

Thank you,

MrB

3 0

4 years ago

Which products result in a difference of squares? Select three options. (x minus y)(y minus x) (6 minus y)(6 minus y) (3 + x z)(

ValentinkaMS [17]

Answer:

Third option: $(3 + xz)(-3 + xz)$

Fourth option: $(y^2 - xy)(y^2 + xy)$

Sixth option: $(64y^2 + x^2)(-x^2 + 64y^2)$

Step-by-step explanation:

By definition, we can factor the Difference between two squares:

$a^2 - b^2 = (a+b)(a-b)$

In order to find which products results in a difference of squares, we need to check each option:

$1.\ (x - y)(y - x)=(x)(y)+(x)(-x)-(y)(y)+(-y)(-x)=xy-x^2-y^2+xy=-x^2-y^2+2xy$

The product does not result in a difference of squares.

$2.\ (6 - y)(6 - y)$

Since the signs are equal ( $-$ ), the product will not result in a difference of squares.

Using Distributive Property for the other options, we get:

$3.\ (3 + xz)(-3 + xz)=(3)(-3)+(3)(xz)+(xz)(-3)+(xz)(xz)=\\\\=-9+3xz-3xz+x^2z^2=x^2z^2-9=(xz)^2-(3)^2$

The product results in a difference of squares.

$4.\ (y^2 - xy)(y^2 + xy)=(y^2)(y^2)+(y^2)(xy)-(xy)(y^2)-(xy)(xy)=\\\\=y^4+xy^3-xy^3-x^2y^2=y^4-x^2y^2=(y^2)^2-(xy)^2$

The product results in a difference of squares.

$5.\ (25x - 7y)(-7y + 25x)=(25x - 7y)(25x - 7y)$

Since the signs are equal ( $-$ ), the product will not result in a difference of squares.

$6.\ (64y^2 + x^2)(-x^2 + 64y^2)=(64y^2 + x^2)(64y^2 - x^2)=\\\\=(64y^2)(-x^2)+(64y^2)(64y^2)+(x^2)(-x^2)+(x^2)(64y^2)=\\\\=-64y^2x^2+4096y^4-x^4+64y^2x^2=\\\\=4096y^4-x^4=(64y^2)^2-(x^2)^2$

The product results in a difference of squares.

5 0

3 years ago

Read 2 more answers

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

kompoz [17]

Answer:

The fourth option gives the result.

Step-by-step explanation:

We have to find f(x) and g(x) from options given such that y = f[g(x)] is equivalent to $y = \frac{8}{\sqrt{2x + 4}}$ .

Here, the fourth option gives the result.

If $f(x) = \frac{8}{\sqrt{x} }$ and g(x) = 2x + 4, then the composite function $f[g(x)] = \frac{8}{\sqrt{2x + 4}}$

⇒ $y = \frac{8}{\sqrt{2x + 4}}$ ( Answer )

3 0

3 years ago

What’s a matrix and determinant?

Margaret [11]

Answer:

yan na po

Step-by-step explanation:

hope it helps po

7 0

3 years ago

2/5 ÷ 22/35 <br>simplify

Sliva [168]

Answer:

7/11 (Simplified Already)

Step-by-step explanation: 25÷2235=?

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

25×3522=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×355×22=70110

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 70 and 110 using

GCF(70,110) = 10

70÷10110÷10=711

Therefore:

25÷2235=711

Solution by Formulas

Apply the fractions formula for division, to

25÷2235

and solve

2×355×22

=70110

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(70,110) = 10

70÷10110÷10=711

Therefore:

2/5÷22/35=7/11

6 0

4 years ago

Read 2 more answers