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3 years ago

If line p has a slope of 4/7, what is the slope of a line perpendicular to p?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

5 0

Answer:

-7/4

Step-by-step explanation:

When you find the perpendicular slope, you take the opposite reciprocal of the original slope. For 4/7, the opposite is -4/7, and the reciprocal of that is -7/4.

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Simplify the following expression completely using distribution and combining like terms

LiRa [457]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Simplify ⇨ 19m + 14 - 3 (3m + 7)

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf \: 19 m - 14 - 3 ( 3 m + 7 )$

Use the distributive property to multiply -3 by 3m+7.

$\sf \: 19m-14-9m-21$

Combine 19m and -9m to get 10m.

$\sf \: 10m-14-21$

Subtract 21 from -14 to get -35.

$\boxed{\boxed{\bf \: 10m-35 }}$

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3 years ago

Joanne was hired by a florist to make large boes for holidays wreaths each roll of ribbon has 20 yards joanne used 3 1/2 rolls o

alukav5142 [94]

Answer: Each bow needs 4.67 yards of ribbon.

Step-by-step explanation:

We know that each roll has 20 yd.

She used 3 + 1/2 rolls, then the total length used will be (3 + 1/2) times the length of each roll, this is:

(3 + 1/2)*20 yd = (6/2 + 1/2)*20yd = (7/2)*20yd = 70 yd.

With tose 70 yards of ribbon, she made 15 bows, then the length of ribbon used in each bow will be equal to the quotient between the total length used and the number of ribbons made with it, this is:

70yd/15 = 4.67 yards

Each bow needs 4.67 yards of ribbon.

6 0

3 years ago

the vertices of PQR are P(-5,1), Q(-4,6), and R(-2,3), graph P"Q"R" after a composition of the transformations in the order they

horsena [70]

SOLUTION

We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).

In P(-5,1), x = -5 and y = 1

In Q(-4,6), x = -4 and y = 6 and

In R(-2,3), x = -2 and y = 3

$\begin{gathered} P(-5,\text{ 1) translates to (-5 -8, 1) }\rightarrow P^i(-13,\text{ 1)} \\ Q(-4,\text{ 6) translates to (-4 -8, 6) }\rightarrow Q^i(-12,\text{ 6)} \\ R(-2,\text{ 3) translates to (-2 -8, 3) }\rightarrow R^i(-10,\text{ 3)} \end{gathered}$

For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.

$\begin{gathered} At\text{ K = 2, }P^i(-13,\text{ 1) }\rightarrow\text{ }2(-13,\text{ 1) }\rightarrow\text{ }P^{ii}(-26,\text{ 2)} \\ Q^i(-12,\text{ 6) }\rightarrow\text{ }2(-12,\text{ 6) }\rightarrow\text{ Q}^{ii}(-24,\text{ 12)} \\ R^i(-10,\text{ 3) }\rightarrow\text{ }2(-10,\text{ 3) }\rightarrow\text{ R}^{ii}(-20,\text{ 6)} \end{gathered}$

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2 years ago

4 pound tomato cost 14 dollar how much does 1 pound cost

Alecsey [184]

Answer:$3.50

Step-by-step explanation:

14/4 =3.5. To check answer multiply 3.5 by 4. You get 14

3 0

3 years ago

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Luna bus a shirt that costs $15.65. She gives the cashier $20 and receives $3.25 in change. What is the percent error in the amo

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