6.Write the equation in slope-intercept form for the line that passes through the given pointand is perpendicular to the given equation.5x + 3y = -21 and passes through (-5, 1)

Answers

Answer 1
Answer:

Let us first solve for the slope (m) of the perpendicular line.

\text{ 5x + 3y = -21}\text{ 3y = -5x - 21}\text{ y =}\frac{-5x\text{ -21}}{3}\text{ y = -}(5)/(3)x-7

The slope of the perpendicular line is -5/3.

Thus, for the slope of the line, we get,

\text{ m}_(\perp)\text{ = }(-5)/(3)\text{ m = }(3)/(5)

Let us solve for the value of b with the given value of slope (m) = 3/5 and (x,y) = (-5,1).

\text{ y = mx + b}1\text{ = (}(3)/(5))(-5)+b1\text{ = -1 + b ; b = 1 + 1 = }2

Let's now make the equation of the line using Slope-Intercept Form,

Given, m = 3/5 and b = 2

\text{ y = mx+b}\text{ y = (}(3)/(5))x\text{ + 2}

\text{ y = }(3)/(5)x\text{ +2}


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PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!
Can someone please help me –4x ≤ 36
Solve.................-m/20=-2

How does the quotient compare to the dividend when the divisor is less than 1

Answers

Final answer:

When a dividend is divided by a divisor that is less than 1, the resulting quotient is greater than the original dividend. This is equivalent to multiplying the dividend by the reciprocal of the divisor.

Explanation:

In mathematics, when we divide any number (the dividend) by a number that is less than 1 (the divisor), the quotient will be greater than the dividend. This is because dividing by a number less than 1 is equivalent to multiplying by its reciprocate which is more than 1. For example, let's consider 10 divided by 0.5 (which is less than 1); the quotient is 20, which is greater than the dividend (10). Therefore, in relation to your question, the quotient is larger than the dividend when the divisor is less than 1.

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Answer:

Greater provided the divisor is positive.

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.

If the divisor is negative and the dividend is positive, then the quotient is negative (and so less than the dividend).

D=G+Grt solve for t. Show work

Answers

G + Grt = D
Subtract G
Grt = D - G
Divide both sides by Gr
t = (D-G)/(rG)

A person invested 3,900 in an account growing at a rate allowing the money to double every 7 years. How much money would be in the account after 18 years to the nearest dollar

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Answer:

23182 or 23181.5109105

Step-by-step explanation:

7th grade math help me plzzz

Answers

Answer:

a. -7 + 3

b. draw 7 negatives + 7 positives

Step-by-step explanation:

Answer:

3.a) -7 + 3

3.b) 4

I hope this helps!

Need the answer to x and y !

Answers

x = 2 y = 7

Step-by-step explanation:

the explan at the pic

Consider the figure.
Find AB if BC = 4, BD = 5, and AD = 5

Answers

so I think it's a rectangle. and AB is the diagnal line. to find AB, we need to use the hypothegorin teorin.

BD=5, DA=5

let x represent the AB

formula= a²+b²=c²

= 5²+5²= x²

= 25+25=x²

=50=x²

=square root of 50= 7.07

AB is 7.07