All categories

3 years ago

A line passes through the point (12,0) and is parallel to the line with the equation y = x + 1. What's the equation of the line?

Mathematics

1 answer:

Alborosie3 years ago

4 0

Answer:

y = x - 12

Step-by-step explanation:

Since the lines are parallel, the slopes are the same.

The desired equation has the form y = x + 1. Replacing the constant (1) by C, we get y = x + C. Finally, we substitute 12 for x and 0 for y in y = x + C to determine the value of C:

0 = 12 + C, or C = -12

Then the equation of the line is y = x - 12.

You might be interested in

Simplify the expression below 6m^5+15m^2/3m^2

densk [106]

Answer:6m^5+5

Step-by-step explanation:

To simplify 6m^5+15m^2/3m^2

We get

6m^5+5

8 0

4 years ago

Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

<em>This has been shown in (c) above</em>

3 0

3 years ago

I'll give brainliest for however solves it for me<br> And please no links

Vadim26 [7]

Answer:

84 98

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles

Alja [10]

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

7 0

3 years ago

4x - 4y = -2<br> -9x - 4y = -3

liubo4ka [24]

Answer:

x=1/13 y=15/26

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

7 0

3 years ago