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3 years ago

What is the slope of a line perpendicular to the line whose equation is 3x-7y+14=0?

1 answer:

7 0

1. Find the slope of the given line. Do this by solving <span>3x-7y+14=0 for m:

3x + 14 = 7y, which gives us m = 3/7.

2. Find the slope of a line perpendicular to this one. It's the negative reciprocal of m = 3/7, or -7/3.

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The painter made— or quart of purple paint

Andreas93 [3]

Answer:

32 oz

Step-by-step explanation:

Im assumin you mean how many oz

3 0

3 years ago

Solve. 10x^2 = 6 + 9x10x 2 =6+9x10, x, start superscript, 2, end superscript, equals, 6, plus, 9, x Choose 1 answer: Choose 1 an

yulyashka [42]

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as

$ax^2+bx+c=0$ .... (1)

then the quadratic formula is

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

The given equation is

$10x^2=6+9x$

It can rewritten as

$10x^2-9x-6=0$ .... (2)

On comparing (1) and (2) we get

$a=10,b=-9,c=-6$

Using quadratic formula we get

$x=\dfrac{-(-9)\pm \sqrt{(-9)^2-4(10)(-6)}}{2(10)}$

$x=\dfrac{9\pm \sqrt{81+240}}{20}$

$x=\dfrac{9\pm \sqrt{321}}{20}$

Therefore, the correct option is B.

6 0

4 years ago

Read 2 more answers

Bo and Brica are yoga instructors. Between the both of them, they teach 46 yoga classes each week. If Brica teaches 11 fewer tha

PtichkaEL [24]

Bo teaches 19 classes and Brica teaches 27 classes per week

Step-by-step explanation:

Bo and Brica are yoga instructors

They teach 46 yoga classes each week
Brica teaches 11 fewer than twice as many as Bo

We need to find how many classes each instructor teaches per week

Assume that Bo teaches x classes per week

∵ Bo teaches x classes per week

∵ Brica teaches 11 fewer than twice as many as Bo

∵ Twice means times 2 and 11 fewer is - 11

- Multiply x by 2 and subtract 11 from the product

∴ Brica teaches 2x - 11 classes per week

∵ They teach 46 classes per week

- Add the number of their classes and equate the sum by 46

∴ x + 2x - 11 = 46

- Add the like terms in the left hand side

∴ 3x - 11 = 46

- Add 11 to both sides

∴ 3x = 57

- Divide both sides by 3

∴ x = 19

∵ Bo teaches x classes per week

∴ Bo teaches 19 classes per week

∵ Brica teaches 2x - 11 classes per week

∴ Brica teaches 2(19) - 11 = 27 classes per week

Bo teaches 19 classes and Brica teaches 27 classes per week

Learn more:

You can learn more about the linear equations in brainly.com/question/11306893

#LearnwithBrainly

5 0

3 years ago

A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much

AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

6 0

3 years ago

Tamara is a real estate agent and makes 5% commission on her total sales. She sells a home for $350,000. What is her commission?

larisa [96]

So this is basically a ratio and the form I use to solve these is
Is. = %
Of. 100
So we're looking for 5% of the 350,000 which will be x

X. = 5
350000. 100
Cross multiply
100x=1750000
Divide by 100

X=17500

7 0

4 years ago

Read 2 more answers