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3 years ago

Please help asap 25 pts

Mathematics

1 answer:

natulia [17]3 years ago

5 0

Answer:

C and D

Step-by-step explanation:

in equations y=4x+9 and y=4x-9 you have the same slope (4) so paralleling is guaranteed.

y=9 and y=18 you can understand as y=0x+9 and y=0x+18, so in this situation you have the same slope (0), so lines y=9 and y=18 are parallel too.

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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

Jack has two jars of wax. One jar is 1/6 full. The other jar is 4/6 full. Write an equation to find the amount of wax Jack has.

Solnce55 [7]

Answer:

1/6 + 4/6 = 5/6

Step-by-step explanation:

I hope this helped

5 0

3 years ago

A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?

erastova [34]

Let sales be x
.03x = 180 
divide both sides by .03 
x = 180/.03 = 6000

6 0

3 years ago

Solve the following equation to find the value of x: 2(x + 3) =18

lidiya [134]

Distribute the two: 2x + 6 = 18
Subtract the six: 2x = 12
Divide by two: x = 6

That's your answer!

5 0

3 years ago

Tommy is 22 years older than his son, Patrick. If their ages add up to 50, how old is Tommy?

alexandr1967 [171]

50 - 22 = 28
Tommy is 28

3 0

3 years ago