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2 years ago

14

Which equation is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (-8, 1)?

1 answer:

lutik1710 [3]2 years ago

5 0

Answer:

y=2x+17

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-(-8))

y-1=2(x+8)

y=2x+16+1

y=2x+17

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three bags of sweets weigh 27/4 kg. two of them have the same weight and the third bag is heavier than each of the bags of equal

Nana76 [90]

I'm here buddy,

so, let's take the value of the two bags with equal weight as x.

= x + x + (x + $\frac{6}{5}$ ) = $\frac{27}{4}$

= 3x + $\frac{6}{5}$ = $\frac{27}{4}$

= 3x = $\frac{27}{4}$ - $\frac{6}{5}$

( let's take the LCM of 4 and 5 = 20

= 3x = $\frac{135}{20}$ - $\frac{24}{20}$

= 3x = $\frac{111}{20}$

= x = $\frac{111}{20}$ ÷ $\frac{3}{1}$ = $\frac{111}{20}$ × $\frac{1}{3}$ = $\frac{37}{20}$

So, the weight of the equal bags are $\frac{37}{20}$ and the weight of the third bag ( heavy one ) is $\frac{37}{20}$ + $\frac{6}{5}$ = $\frac{37}{20}$ + $\frac{24}{20}$ = $\frac{61}{20}$

1st bag = $\frac{37}{20}$ kg

2nd bag = $\frac{37}{20}$ kg

3rd bag = $\frac{61}{20}$ kg

Hope it helps...

7 0

3 years ago

Add: -5g^2+(-9g^2-8)

Amiraneli [1.4K]

Answer:

$\boxed{-14g^2 - 8}$

Step-by-step explanation:

$-5g^2 + (-9g^2 - 8)$

$= - 5g^2 - 9g^2 - 8$

$= -14g^2 - 8$

3 0

3 years ago

Which expression is equivalent to x y Superscript two-ninths?

crimeas [40]

Option D: $x\sqrt[9]{y^2}$ is the expression equivalent to $xy^{\frac{2}{9}}$

Explanation:

Option A: $\sqrt{xy^9}$

The expression can be written as $({xy^9})^{\frac{1}{2}$

Applying exponent rule, we get,

$x^{\frac{1}{2}} y^{\frac{9}{2}}$

Thus, the expression $\sqrt{xy^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option A is not the correct answer.

Option B: $\sqrt[9]{xy^2}$

The expression can be written as $({xy^2})^{\frac{1}{9}$

Applying exponent rule, we get,

$x^{\frac{1}{9}} y^{\frac{2}{9}}$

Thus, the expression $\sqrt[9]{xy^2}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option B is not the correct answer.

Option C: $x\sqrt{y^9}$

The expression can be written as $x(y^9)^{\frac{1}{2} }$

Applying exponent rule, we get,

$x y^{\frac{9}{2}}$

Thus, the expression $x\sqrt{y^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option C is not the correct answer.

Option D: $x\sqrt[9]{y^{2} }$

The expression can be written as $x(y^2)^{\frac{1}{9} }$

Applying exponent rule, we get,

$xy^{\frac{2}{9}}$

Thus, the expression $xy^{\frac{2}{9}}$ is equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option D is the correct answer.

4 0

3 years ago

Read 2 more answers

Explain how bias in the survey might have affected the results. A survey asks teens, “Do you, like most teenagers, dislike liste

Mamont248 [21]

B the phrasing of the question suggest a bias against classical music

that is the answer because they are assuming that no teens like classic music, which is just an opinion, which is bias :)

8 0

3 years ago

Only need help with The angle the road makes with horizontal

drek231 [11]

Tan -1 = 13/21
31.7
32degrees

8 0

3 years ago