"if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1.8"

The width of a rectangle is the sum of the length and 1. The area of the rectangle is 20 units. What is the width, in units, of

IRISSAK [1]

Answer:

W=5

Step-by-step explanation:

W=Width=Length + 1

L = Length

Area = Length * Width = 20

Area = L * W = L * (L+1) = 20

Distribute the L: L^2 + L = 20

Subtract 20 from both sides: L^2 + L -20 = 20-20

Simplify: L^2+L-20=0

Factor (L-4)(L+5)=0

Solve using the zero property: L-4=0, L=4 L+5=0, L=-5

The two options for length are 4 and -5. Only 4 will work for L since it cannot be negative. Width is Length + 1 = 5

6 0

3 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

2 years ago

Please help me with this I’ll make you as brainlist

Arlecino [84]

Answer:

x = $3\sqrt{13}$ = 10.8

Step-by-step explanation:

Both problems are done the same way. I will do the first one and you do the second one. OK?

Move the radius x to make a right triangle. The 6 unit segment bisects the chord. So, the legs of the right triangle are 6 and 9

The use the Pythagorean theorem to find x, which is the hypotenuse of the right triangle. Now,

$6^{2} + 9^{2} = x^{2}$

$x^{2} = 36 + 81 = 117\\x = \sqrt{117} = 3\sqrt{13}$ = 10.8

None of the answer choices are to the nearest tenth. So, I am confused about that.

In the second problem, the answer should be 11.2

5 0

2 years ago

Help I was absent when she taught this

DedPeter [7]

Answer:

b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A six-sided die is rolled. What is the probability that the number rolled will be an even number or a 6?

asambeis [7]

Answer:

1/2

Step-by-step explanation:

A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.

8 0

3 years ago