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2 years ago

identify an equation in the point-slope form for the line parallel to y=1/2 x -7 that passes through (-3,-2)

Mathematics

1 answer:

Mariulka [41]2 years ago

3 0

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1= -3 y_1= -2 m= 1/2(parallel means same slope)

an equation in the point-slope form is : y +2 = 1/2(x+3)

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2/3x=10 thankyou for helping me

Novay_Z [31]

(2/3)x = 10
(3/2)(2/3)x = 10(3/2)
x = 30/2 = 15

6 0

2 years ago

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If the teacher has 30 students and 10% left,how much students does she have now

garri49 [273]

Answer:

She has 27 students now.

Step-by-step explanation:

Given :

The teacher has 30 students

10% students left.

To find : how much students does she have now?

Solution :

Since we are given that teacher has 30 students .

And 10% of students left

⇒ 10% of 30

⇒ $\frac{10}{100} *30$

⇒ $\frac{300}{100}$

⇒ $3$

Thus, 3 students left .

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So, now she have 30 - 3 = 27 students .

Hence she has 27 students now.

8 0

2 years ago

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Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?

galben [10]

Answer:

Step-by-step explanation:

x+11÷8=5

5 × 8 = 40

40- 11 = 29

29 + 11 ÷ 8 =5

5 0

2 years ago

Passes through the points (−4, 2) and (12, 6)?

svlad2 [7]

<u>I'll assume you need to find the equation of the line that passes through those points.</u>

Answer:

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

Step-by-step explanation:

<u>Equation of a Line:</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

$\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The given points are (-4,2) and (12,6), thus:

$\displaystyle y-2=\frac{6-2}{12+4}(x+4)$

Operating:

$\displaystyle y-2=\frac{4}{16}(x+4)$

Simplifying, the equation in point-slope form is:

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

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2 years ago

You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let G j denote the event that the roll

Misha Larkins [42]

Answer:

a. $P (R3 | G1)=\frac{1}{5}$

b. $P (R6| G3)= \frac{1}{3}$

c. $P(G3|E)=\frac{2}{3}$

d. $P (E|G3)=\frac{2}{3}$

Step-by-step explanation:

The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,

a. The conditional probability that 3 is rolled given that the roll is greater than 1? $P (R3 | G1) = \frac{P (R3\bigcap G1)}{P(G1)} = \frac{1/6}{5/6} = \frac{1}{5}$

b. What is the conditional probability that 6 is rolled given that the roll is greater than 3? $P (R6| G3) = \frac{P (R6\bigcap G3)}{P(G3)} = \frac{1/6}{3/6} = \frac{1}{3}$

c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even? $P(G3|E) = \frac{P (G3\bigcap E)}{P(E)} = \frac{2/6}{3/6} = \frac{2}{3}$

d. Given that the roll is greater than 3, what is the conditional probability that the roll is even? $P (E|G3) = \frac{P (E\bigcap G3)}{P(G3)} = \frac{2/6}{3/6} = \frac{2}{3}$

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2 years ago