Which expression shows the result of applying the distributive property to 3 (1/5x

Can anyone help me solve 23, 24?

zimovet [89]

Answer:

Problem 23) $y=3x+6$

Problem 24) $y=-\frac{1}{3}x-5$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$A(0,2)\ B(3,1)$

Substitute the values

$m=\frac{1-2}{3-0}$

$m=-\frac{1}{3}$

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

so

$m1*m2=-1$

Find the slope of the line

we have

$m1=-\frac{1}{3}$

substitute in the equation and solve for m2

$(-\frac{1}{3})*m2=-1$

$m2=3$

with the slope m2 and the point $(0,6)$ find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=3$

$b=6$ -----> the given point is the y-intercept

substitute

$y=3x+6$

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

so

with the slope m1 and the point $(0,-5)$ find the equation of the line

The equation of the line in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{3}$

$b=-5$ -----> the given point is the y-intercept

substitute

$y=-\frac{1}{3}x-5$

8 0

4 years ago

A. How many squares with side lengths of 1/4 inch can fit in a square with side lengths of 1 inch?

yKpoI14uk [10]

Answer:

c

Step-by-step explanation:

in did the work

6 0

3 years ago

Someone please help! Im in a hurry !!

jeka94

Answer:

wouldnt it be c

Step-by-step explanation:

8 0

3 years ago

Drag the tiles to the boxes to form correct pairs.

e-lub [12.9K]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

$\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}$

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The sum of all the angles can be written as,

∠A + ∠B + ∠C = 180°

90° + 62° + ∠C = 180°

∠C = 28°

Sin(∠B) = AC/BC

Sin(∠B) = b/8

b = 8 × Sin(62°)

b = 7.06

Cos(∠B) = AB/BC

Cos(∠B) = c/8

c = 8 × Cos(62°)

c = 3.76

Hence, the measure of ∠C is 28°. And the value of b and c is 7.06 and 3.76, respectively.

Learn more about Trigonometric functions:

brainly.com/question/6904750

#SPJ1

4 0

2 years ago

What radius of a circle is required to inscribe a square with an apothem of 3.536 inches?

prisoha [69]

Answer:

The radius of the circle required is 5 inches

Step-by-step explanation:

we know that

The diagonal of the square is the diameter of the circle

The length side of the square is half the apothem

Let

a ----> the apothem

r ---> the radius of the circle (half the diagonal of the square)

Applying the Pythagorean Theorem

$r^2=a^2+a^2$

we have

$a=3.536\ in$

substitute

$r^2=3.536^2+3.536^2$

$r^2=25\\r=5\ in$

7 0

4 years ago

Read 2 more answers

Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)