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frosja888 [35]
11 months ago
12

Given the following 2 equations, state whether these equations are parallel, perpendicular, or neither.

Mathematics
1 answer:
stiks02 [169]11 months ago
3 0

Answer:

Neither

Explanation:

The slope-intercept form of the equation of a line is generally given as;

y=mx+b

where m = the slope of the line

b = the y-intercept of the line

Two lines are said to be parallel if they have the same slope. Looking at the two given equations below, we see that the slope of the 1st one, 5/7, is different from the slope of the 2nd one, 7/5;

\begin{gathered} y=\frac{5}{7}x+14 \\ y=\frac{7}{5}x-20 \end{gathered}

Two lines are said to be perpendicular if their slopes are negative reciprocals of each other, let's go ahead and compare their slopes;

\begin{gathered} m_1=\frac{5}{7} \\ m_2=\frac{7}{5} \\ \therefore m_2=\frac{1}{m_1_{}} \end{gathered}

So the two lines are not perpendicular to each other. It, therefore, means that the correct answer will be Neither.

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Answer:

120 inches

Step-by-step explanation:

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3 0
3 years ago
A group of 14 and 15-year-olds were polled on their favorite season. The results are shown in the frequency table.
Yakvenalex [24]

Answer:

1. 4 categories are shown in the rows.

2. 2 categories are shown in the columns.

3. The number of 14 year olds that consider winter their favorite season is 12.

4. Total number of people polled is 82.

Step-by-step explanation:

The question is to test the ability of a student to group data using a frequency table accurately, and make appropriate deductions from it. Consider the attachment for the accurate table required to answer the given questions.

If the given information is grouped as required, thus the answers to the questions are:

i. 4 categories are shown in the rows.

ii. 2 categories are shown in the columns.

iii. The number of 14 year olds that considers winter their favorite season is 12.

iv. Total number of people polled is 82.

5 0
3 years ago
PLEASE HELP!!!!!! i will give brainiest!
mamaluj [8]

Answer:

\sf B) \ y=-\dfrac{1}{5}x-4

Explanation:

Equation: y = mx + b      [where "m" is slope, "b" is y-intercept]

The y-intercept (b) is -4

\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \  where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points

Here take two points: (0, -4), (5, -5)

\sf slope \ (m) : \dfrac{-5-(-4)}{5-0}  =  -\dfrac{1}{5}

\sf Hence   \ equation :  y = -\dfrac{1}{5} x -4

5 0
1 year ago
The total weight of a fully loaded coal truck is 4 tons. The ratio of the weight of the truck to the weight of the coal is 7:5.
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

total weight is 4 tons.

ratio of weight of truck to weight of coal is 7:5....added = 12

so 7/12 of the total weight is the truck's

and 5/12 of the total weight is the coal

7/12 of 4 tons = 7/12 * 4 = 28/12 = 2 1/3 tons <== weight of truck

5/12 of 4 tons = 5/12 * 4 = 20/12 = 1 2/3 tons <== weight of coal

8 0
3 years ago
-60+x-23=70<br> Need help
LekaFEV [45]

Answer:

x-83=70

x = 70 + 83

x= 153

4 0
3 years ago
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