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zvonat [6]
3 years ago
11

(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point a

nd is parallel to the graph
(-9,-2) y=-4x+1
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

y = -4x - 38

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.

y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\

Apply the distributive property to find the slope intercept form.

y + 2 = -4(x+9)

y + 2 = -4x - 36

y = -4x - 38

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Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
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Answer:

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A City has a population of 360,000 people, suppose each year the population grows by 3% what will the population be after five y
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Carlos has a fair die and a number cube. He will flip the fair die one time and roll the number cube one time. What is the proba
saul85 [17]

Answer: 0.42 and 5 outcomes.

Step-by-step explanation:

i guess that carlos has a fair coin and a number cube.

the probability can be calculated as the number of outcomes that we want divided the total number of outcomes.

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the number cube has 6 numbers, 5 of those 6 numbers are greater than 1, then the probability of getting a number greater than 1 is p2 =5/6

the joint probability is the product of those two:

P = 1/2*5/6 = 5/12 = 0.42

The combinations that include heads and number greater than 1 are 5 combinations:

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3 years ago
Which set of ordered pairs does not represent a function? part 2
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Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
Elis [28]

ANSWER

-  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

|v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ 216.5}  =  \frac{ \sqrt{866} }{2}

The unit vector in the direction of this vector is

=  \frac{v}{ |v| }

= -   \frac{14.5}{ \frac{ \sqrt{866} }{2} } i +    \frac{2.5}{ \frac{ \sqrt{866} }{2} } j

=  -  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

7 0
3 years ago
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