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3 years ago

HELP!! PLEASE!!! THANK YOU!!

Mathematics

1 answer:

Blizzard [7]3 years ago

6 0

Answer:

C. 8x - 3y = 5

Step-by-step explanation:

7 - 3(x - y) = 5x + 2

Standard form: Ax + By = C

7 -3x + 3y = 5x + 2

7 -8x + 3y = 2

-8x + 3y = -5

Divide by -1 to each number

8x - 3y = 5

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

3 years ago

V varies inversely with T and V=12 when T=6. Which equation shows this relationship

hodyreva [135]

Answer:

Step-by-step explanation:

Given V varies inversely as T, then the equation relating them is

V = $\frac{k}{T}$ ← k is the constant of variation

To find k use the condition, V = 12 when T = 6

k = VT = 12 × 6 = 72

V = $\frac{72}{T}$ ← equation of variation

5 0

3 years ago

I need to know the expression for the verbal phrase :

nika2105 [10]

15 ÷ 2 . X =

There's the expression

5 0

4 years ago

A circule has a diameter of 28 ft what is the circumference

lidiya [134]

Answer:

Circumference of a 28 Foot Diameter Circle ; 87.965, feet ; 1,055.6, inches ; 87′ 11.6″, feet and inches ; 26.812, meters ; 2,681.2, centimeters .

Step-by-step explanation:

6 0

2 years ago

What number is in the hundredths place?

Lerok [7]

123.456...number in the hundredths place is 5

5 0

3 years ago