In the figure below, what is the measure of angle x

Determine the standard form of the equation of the line that passes through (6,0) and (2,-7).

lesya [120]

Answer:

-7x + 4y = +42

Step-by-step explanation:

Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.

Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:

0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.

We must put this into "standard form." Multiplying all three terms by 4, we get:

4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:

-7x + 4y = +42

5 0

3 years ago

tressa's home is 4/5 mile from school. anton's home is 3/5 mile from school. how many times the distance from anton's home to sc

WINSTONCH [101]

The distance from Tressa's home to school is $1\frac{1}{3}$ times the distance from Anton's home to school

From the question,

Tressa's home is 4/5 mile from school

and Anton's home is 3/5 mile from school.

To determine how many times the distance from Anton's home to school is the distance from Tressa's home to school, we will divide the distance from Tressa's home to school by the distance from Anton's home to school

That is, 4/5 mile ÷ 3/5 mile

∴ we get

$\frac{4}{5} \div \frac{3}{5}$

$= \frac{4}{5} \times \frac{5}{3}$

$= \frac{4}{3}$

$=1 \frac{1}{3}$

Hence, the distance from Tressa's home to school is $1\frac{1}{3}$ times the distance from Anton's home to school

Learn more here: brainly.com/question/17420260

7 0

2 years ago

The graph shows a journey in a car. Which of the statements most likely describes the journey at the portion of the graph labele

Nat2105 [25]

Step-by-step explanation:

The car stops a distance away from the starting point because the portion shows a constant function away from the starting point.

7 0

2 years ago

Read 2 more answers

Which measure of center is shown in a box plot?<br> A.mean<br> B.median<br> C.mode

Dima020 [189]

The answer would be the median because you use the box plot to find the median. its the whole point of a box plot :)

5 0

2 years ago

Read 2 more answers

The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d

dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of $P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5$ , where $x$ is the selling price of the product, measured in dollars per unit, is: