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coldgirl [10]
3 years ago
11

Complete the slope-intercept form of this line. y=-4x +

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>-</u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>9</u>

Step-by-step explanation:

General equation of a line:

y = mx + c

<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u>,</u><u> </u><u>c</u> :

consider point (2, 1):

y is 1, x is 2 and m is -4

y = mx + c \\ 1 = (2 \times  - 4) + c \\ 1 =  - 8 + c \\ c = 1 + 8 \\ c = 9

therefore, equation is:

y =  - 4x + 9

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Step-by-step explanation:

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3 years ago
Given triangle 'ABC' with a = 4, b = 11, and measurement of A = 41 Degrees , find the number of distinct solutions.
n200080 [17]
It should be A, since b=11> acosA
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I need help with math homework #2 algebra
OverLord2011 [107]

Answer:

A. (0, -2) and (4, 1)

B. Slope (m) = ¾

C. y - 1 = ¾(x - 4)

D. y = ¾x - 2

E. -¾x + y = -2

Step-by-step explanation:

A. Two points on the line from the graph are: (0, -2) and (4, 1)

B. The slope can be calculated using two points, (0, -2) and (4, 1):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4}

Slope (m) = ¾

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).

Thus:

y - 1 = ¾(x - 4)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 1 = ¾(x - 4)

4(y - 1) = 3(x - 4)

4y - 4 = 3x - 12

4y = 3x - 12 + 4

4y = 3x - 8

y = ¾x - 8/4

y = ¾x - 2

E. Convert the equation in (D) to standard form:

y = ¾x - 2

-¾x + y = -2

8 0
3 years ago
Madeline has used 50 sheets of a roll of paper towels, which is 5/8 of the entire roll. The equation 5/8s = 50 can be used to fi
raketka [301]

Answer:

s=80

Step-by-step explanation:

5/8ths is .625

80 x .625 =50


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Mathematics <br> Simple events likelihood experimental probability
saw5 [17]

Problem 1

Answer: Closer to 1

Explanation:

There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.

================================================

Problem 2

Answer: Closer to 0

Explanation:

The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50

================================================

Problem 3

Answer: Closer to 0

Explanation:

We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50

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Problem 4

Answer: 48% chance; fairly likely

Explanation:

We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%

3 0
3 years ago
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