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3 years ago

Graph the equation m: 9x +3y=18

Mathematics

1 answer:

Ksivusya [100]3 years ago

7 0

Rearrange the equation.
-3y=9x-18
-3y/3=9x/3-18/3 divide 3out of both sides
Y=3x-6
It is now ready to graph.

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How do you find the length of an arc of a circle with a radius of 45 cm if the arc subtends a central angle of 20 degrees?

RUDIKE [14]

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6 0

3 years ago

What is the quotient 2y^-6y-20/4y+12 ÷ y+5y+6/3y^2+28y+27

malfutka [58]

Answer with explanation:

$\rightarrow \frac{\frac{2y^2-6 y-20}{4 y+12}}{\frac{y^2+5 y+6}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{y^2-3y-10}{2 y+6}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{(y-5)(y+2)}{2 (y+3)}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{(y-5)(y+2)}{2 (y+3)}} \times {\frac{3 y^2+28 y+27}{(y+2)(y+3)}}\\\\ \rightarrow\frac{(y-5)\times(3 y^2+28 y+27)}{2 (y+3)^2}}$

→y²+5y+6

=y²+3 y+2 y+6

=y×(y+3)+2×(y+3)

=(y+2)(y+3)

→y² -3 y-10

=y² -5 y+2 y -10

=y×(y-5)+2×(y-5)

=(y+2)(y-5)

6 0

3 years ago

Read 2 more answers

Is the number <img src="https://tex.z-dn.net/?f=%5Csqrt%7B62%7D" id="TexFormula1" title="\sqrt{62}" alt="\sqrt{62}" align="absmi

mrs_skeptik [129]

Answer:

Irrational.

Step-by-step explanation:

Rational means that it is a whole number and can be written as a fraction. That doesn't apply for square rooted numbers. So, $\sqrt{62}$ is irrational.

4 0

3 years ago

I dont understand this question, and needs to be done by tomorrow morning please help

gladu [14]

Answer:

ABCD and EFGH

ABCD and PQRS (or EFGH and PQRS)

Dilate by a scale factor of 3

Step-by-step explanation:

Congruent means they have the same shape and size.

Similar means they have the same shape, but not necessarily the same size.

The orientation (rotation angle) or position do not matter.

EFGH is reflected and rotated, so it maintains the same shape and size as ABCD. Therefore, they are congruent.

PQRS is scaled and translated, so it has the same shape, but different size than ABCD. Therefore, they are similar but not congruent.

Also, PQRS is similar to EFGH, but not congruent.

To make EFGH congruent to PQRS, we need to make it the same size. So we need to scale EFGH by a factor of 3.

3 0

3 years ago

When three pipes fill a pool, they can finish in 12 hours. Two of the pipes can finish in 18 hours if they are working together.

ladessa [460]

3 pipes take 12 hours
⇒ In 1 hour, the 3 pipes can fill 1/12 of the pool

2 of the pipes take 18 hours
⇒ in 1 hour, the 2 pipes can fill 1/18 of the pool

In 1 hour, the third pipe alone can fill :

$\dfrac{1}{12} - \dfrac{1}{18} = \dfrac{3}{36} - \dfrac{2}{36} = \dfrac{1}{36} \text { of the pool}$

Time needed :

$1 \div \dfrac{1}{36} = 1 \times 36 = 36 \text { hours}$

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Answer: It will take 36 hours for the third pipe to fill the pool.
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5 0

3 years ago

Read 2 more answers