What is the y-intercept of the equation of the line that is perpendicular to the line y = 3/5 x + 10 and passes through the point (15, –5)?The equation of the line in slope-intercept form is y = -5/3 x +

Answers

Answer 1

Answer:

Answer:

$\large\boxed{y-intercept=20}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\n\nl\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n============================\n\n\text{We have}\ y=(3)/(5)x+10\to m_1=(3)/(5).\n\n\text{Therefore}\ m_2=-(1)/((3)/(5))=-(5)/(3).\n\n\text{The equation of the searched line:}\ y=-(5)/(3)x+b.\n\n\text{The line passes through }(15,\ -5).$

$\text{Put thecoordinates of the point to the equation.}\ x=15,\ y=-5:\n\n-5=-(5)/(3)(15)+b\n\n-5=(-5)(5)+b\n\n-5=-25+b\qquad\text{add 25 to both sides}\n\nb=20\n\n\boxed{y=-(5)/(3)x+20}$

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What is 25/100 in simplest form?

Answers

both are divisible by 4, The answer is 1/4.

PLEASE HELP! How do you count (a+2) (b+1) ??

Answers

$(a+2)(b+1)=(a)(b)+(a)(1)+(2)(b)+(2)(1)\n\n=ab+a+2b+2$

The question is in the picture pls help!!!

Answers

Answer:

it's the 4th one

Step-by-step explanation:

Because ab is not negative but c has the negative sign in front of it

the answer would be “one integer is positive and one integer is negative”

EXPLANATION:
1.) if both integers are positive they will be positive
2.) if both integers are negative they will be positive
!! SAME SIGNS = POSITIVE !! FOR MULTIPLICATION AND DIVISION
3.) one integer is zero and other is negative would mean the answer is 0 and 0 has no sign
4.) is correct because different sign = positive (for multiplication and division)

hope that helps!!! pls mark brainliest if u can or want :)

What is a system of equations?

Answers

Answer and Step-by-step explanation:

A system of equations is a group of equations that need to be manipulated in some way that will figure out the values of the variables.

The most common system of equations seen is a system of linear equations, which means that the degree of the variables is no more than 1. These can be solved using elimination, substitution, or even graphing, if applicable.

Hope this helps!

Answer:

A system of equations is 2 or more equations that need to be solved. When you solve a system of equations, the answer is where the equations intersect on a graph. Sometimes there is 2 solutions (equations intersect twice), 1 solution (equations intersect once), no solution (equations don't intersect), or infinite solutions ( equations are the same).

They are usually solved using substitution, elimination, or simply looking at a graph to see where the lines intersect.

Some examples:

2x+3y=15

x-3y=3

y=x^2+1

2x-y= -4

What is the sum of 2/10 and 20/100