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3 years ago

Which of the lines, if any, are parallel

Mathematics

1 answer:

devlian [24]3 years ago

8 0

Answer:

a and c are parallel.

Step-by-step explanation:

Let's find slope for each line.

If slopes of lines are same then they are parallel.

for line described by a : slope = $\frac{0-(-2)}{1-(-1)}$ = 1

For line b slope = $\frac{-2-2}{2-4}$ = 2

For line c slope = $\frac{1-2}{-1-0}$ =1

So slope of lines a and c are same. a and c are parallel to each other.

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What is the area of the triangle? (-5,6) (1,3) (-5,-3)

kati45 [8]

Answer:

Step-by-step explanation:

Base is 6 - (-3) = 9

height is 1 - (-5) = 6

so Area = 9 * 6/2 = 27

7 0

3 years ago

Solve this I need it solved

gizmo_the_mogwai [7]

Answer:

option 3

Step-by-step explanation:

$Standard \ quadratic \ equation : ax^2 + bx +c$

Larger the value of '' a '' makes the parabola narrow.

A positive value of '' a '' which is close to 0 makes the parabola wide.

To find the widest graph , find the smallest a. (or a closest to zero)

option 1

$a_1 = \frac{1}{3}$

option 2

$a_2 = - \frac{4}{5}$

option 3

$a_3 = 0.3 = \frac{3}{10}$

option 4

$a_4 = -4$

Positive and negative value of ' a ' decides the direction the parabola opens.

But we have to find the widest parabola irrespective of the direction.

So we will find the smallest ' a '

$a_1 = 0.33\\a_2 = 0.80\\a_3 = 0.30\\a_4 = 4$

$a_3 \ is \ the \ smallest \ number \ or\ \\ the \ number \ closest \ to\ zero.\\\ so \ option \ 3 \ makes\ the\ widest \ parabola.$

8 0

3 years ago

Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. he converts his speed into miles per hour, as shown below.

oksano4ka [1.4K]

The correct question is
Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below
Which ratio is incorrectly written to convert his speed?

the picture in the attached figure

we know that
The term (5280 ft/1 mi) is incorrect
"Feet" needs to be on the bottom to cancel with the previous term.
"Mile" needs to be on top in the numerator so that the answer can be expressed in "miles per hour"

the correct term is (1 mi/5280 ft)