All categories

4 years ago

Identify the graphed linear equation.

Mathematics

2 answers:

Lubov Fominskaja [6]4 years ago

6 0

The answer would be c

Sergio039 [100]4 years ago

5 0

y = - 4x + 1 → C

the equation of the line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

from the graph c = 1

using the points ( 0 , 1 ) and (1 , - 3 )

m = (- 3 - 1 )/( 1 - 0) = (- 4 )/1 = -4

equation is y = - 4x + 1

You might be interested in

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t

Karo-lina-s [1.5K]

Answer:

$\displaystyle 10 + 12\sqrt{3}$ metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

$\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ$

We can now solve for EC:

$\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC$

OR

$\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC$

Now that you have solved for EC, you can now add it to your original 10 metres to get $\displaystyle 10 + 12\sqrt{3}$ metres. As a decimal, you would get $\displaystyle 30,78460969...$ metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0

3 years ago

$9.75 to $11.50= what percent change? Round to the earth tenth of a percent

Firdavs [7]

Answer:17.9 percent

6 0

3 years ago

Two lines and a transversal form corresponding angles that are congruent. Describe the two lines

antoniya [11.8K]

Answer:

parallel

Step-by-step explanation:

If you have two lines and a transversal that form corresponding angles that are congruent. Then the alternate interior angles are congruent and the same-side interior (some people call these consecutive angles) are supplementary.

This has to deal with Parallel Lines Theorem or the Converse of Parallel Lines Theorem.

The lines would be parallel.

8 0

3 years ago

130 is 65% of what number?

mina [271]

X - the number

$65\% x=130 \\
\frac{65}{100}x=130 \\
\frac{13}{20}x=130 \\
x=130 \times \frac{20}{13} \\
x=10 \times 20 \\
x=200$

130 is 65% of 200.

4 0

4 years ago

A car and a truck are traveling north on a highway. The truck has a speed of 42 mph and the car has a speed of 37 mph. If the tr

irga5000 [103]

Answer:

5 mph north

Step-by-step explanation:

The relative velocity of the truck with respect to the car is ...

relative velocity = truck velocity - car velocity

relative velocity = 42 mph north - 37 mph north

relative velocity = 5 mph north

5 0

4 years ago