Use the distributive property to simplify the following expression: 3 (2 + 5z)

HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 100 points!

serious [3.7K]

1. x = a

2. y = b

3. The slope of a vertical line is undefined..

4. Change in y/change in x (m) or rise/run

5. Rewrite the equation in slope-intercept form to find the value of the y-intercept. The value of x will always be 0.

<h3>What is the Equation of a Line?</h3>

The equation, y = mx + b, in slope-intercept form, defines a line, where m is the slope and the y-intercept = b.

1. Slopes of vertical lines are always undefined, therefore, for a vertical line that contains (a, b), the equation would be: x = a.

2. Horizontal lines have a slope of 0, therefore, the equation of a horizontal line that contains the point, (a, b), will be: y = b.

3. The slope of a vertical line is undefined.

4. Two ways of finding the slope if we are given two points on a line are:

Change in y/change in x (m) = y2 - y1 / x2 - x1

or

rise/run

5. If we have an equation in point-slope form, for example, y - 2 = 2(x - 4), rewrite the equation in slope-intercept form and find the value of the y-intercept:

y - 2 = 2x - 8

y = 2x - 8 + 2

y = 2x - 6

The y-intercept = -6, therefore, the coordinates of the y-intercept would be: (0, -6).

Learn more about the equation of a line on:

brainly.com/question/19417700

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8 0

1 year ago

There are 20\%20%20, percent more goblins than wizards in magic club. There are 120120120 goblins in magic club. How many wizard

Eddi Din [679]

Answer:

100

Step-by-step explanation:

We know that there are more goblins than magicians, by 20%.

Thus

be magicians M and goblins G, we have to:

G = 1 * M + 0.2 * M

G = 1.2 * M

M = G / 1.2

Therefore, knowing that in there are a total of 120 elves, replacing:

M = 120 / 1.2

M = 100

So there are 100 magicians in total in the club

5 0

3 years ago

Read 2 more answers

40 POINTS AVAILABLE<br> real answers please

Aleks [24]

Answer:

ABD = 40, CD = 143, X = 43.5, AB = 140, BC = 126

Sorry I'm in a hurry right now so I can't give explanations but I hope this helps!

4 0

3 years ago

Claire sat a spanish test and a french test In the spanish test she scored 27 out of 32 In the french test she scored 19 out of

balu736 [363]

Answer:

French test

Step-by-step explanation:

We first calculate the scores as percentages:

#Spanish test:

$=\frac{score}{total}\times 100\%\\\\\\=\frac{27}{32}\times 100\%\\\\=84.38\%$

#For the French test, her percentage is:

$=\frac{score}{total}\times 100\%\\\\=\frac{19}{21}\times 100\%\\\\=90.48\%$

Since, 90.48$>84.38%, Claire did better in the French test.

7 0

3 years ago

Which statement describes the effect on the parabola y = x2 - 1 when it is changed to y = x2 +6?

zlopas [31]

Initial:

$y=x^2-1$

Changed to:

$y=x^2+6$

As you can see the change is: from -1 to +6.

In a equation as follow:

$y=x^2+k$

The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.

In this case the graph moves up

To find the number of units the graph moves find the difference betwwen values of k:

$6-(-1)=7$

Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6

4 0

1 year ago

Use the distributive property to simplify the following expression: 3 (2 + 5z)​

Use the distributive property to simplify the following expression: 3 (2 + 5z)