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3 years ago

What is the y-intercept of a line perpendicular to y=1/2x + 6 that passes through the point (4,-3)

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

6 0

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

$y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5$

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

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Use this graph of velocity vs. time for two objects to answer the question.

Lynna [10]

Using derivatives, it is found that the correct option is:

A. Object C has an acceleration that is greater than the acceleration for D.

The acceleration is the derivative of the velocity, given by change in velocity divided by change in time, that is:

$a = \frac{\Delta_v}{\Delta_t}$

In this problem:

The change in time for objects C and T is the same.
The change in velocity for object C is greater, thus, it has a greater acceleration, and the correct option is:

A. Object C has an acceleration that is greater than the acceleration for D.

A similar problem is given at brainly.com/question/14516604

6 0

3 years ago

Read 2 more answers

classify the pair of angles. (supplementary, adjacent, vertical, or complementary) then find the value of x.

earnstyle [38]

Answer:

Supplementary angles; 148°

Step-by-step explanation:

180° - 32° = 148° (supplementary angles)

8 0

3 years ago

Please help <3 i don’t understand this question well i do but like idk how 2 word it

frutty [35]

Answer:

Square

Step-by-step explanation:

6 * $10^{8}$ = 600,000,000

I would put a decimal or dot to the right of 6 and count 8 zeros places to the right.

6. 0 0 0 0 0 0 0 0.

3 0

3 years ago

P=?,r=5%,t=13 months, i=$103.55

V125BC [204]

Answer:

$1917.60

Step-by-step explanation:

Interest = Principal x Rate x Time

103.55 = (.05)(13/12)P

103.55 = .054P

P = 1917.60

8 0

3 years ago

The area of Europe is approximately 9.94 × 106 square kilometers. Its population is approximately 7.31 × 108 people. What is the

Kipish [7]

The population density is 73.54 people per square kilometer

Solution:

Given that,

Area of europe = $9.94 \times 10^6$ square kilometers

Population = $7.31 \times 10^8$

To find: population density

The formula for population density is given as:

$\text{ population density } = \frac{\text{ number of people }}{\text{ land area }}$

Substituting the values in formula, we get

$\text{Population density } = \frac{7.31 \times 10^8}{9.94 \times 10^6}\\\\\text{ use the law of exponent } \frac{a^m}{a^n} = a^{m-n}\\\\\text{Population density } = 0.7354 \times 10^{8-6}\\\\\text{Population density } = 0.7354 \times 10^2\\\\\text{Population density } = 73.541$

On rounding to nearest hundreth (two decimal places ), we get 73.54

Thus the population density is 73.54 people per square kilometer

3 0

3 years ago