Ask question

Ask question

All categories

2 years ago

11

A line passes through the point (–2, 7) and has a slope of –5. A coordinate plane. What is the value of a if the point (a, 2) is

also on the line?

2 answers:

Nana76 [90]2 years ago

8 0

Y = mx + c

7= (-5)(-2)+ c

7= 10 +c

7-10=c

-3=c

Equation of the line: y = -5x-3

Sub in (a, 2)

2= - 5(a)-3

2+3= -5a

5= - 5a

1= - a

A = -1

Murljashka [212]2 years ago

6 0

Answer:

-7

Step-by-step explanation:

You might be interested in

Simplify the trigonomic expression 1/1+ sin

Softa [21]

Answer:

$\sec^2\theta-\tan\theta\sec\theta$

Step-by-step explanation:

We have to simplify the trigonometric expression $\frac{1}{1+\sin\theta}$

Let us multiply the numerator and denominator by $1-\sin\theta$

$\frac{1}{1+\sin\theta}\times\frac{1-\sin\theta}{1-\sin\theta}$

In the denominator apply the formula for difference of squares

$a^2-b^2=(a+b)(a-b)$

Thus, the denominator will become

$(1+\sin\theta)(1-\sin\theta)=1-\sin^2\theta$

Thus, the expression is

$\frac{1-\sin\theta}{1-\sin^2\theta}$

Using the relation $1-\sin^2\theta=\cos^2\theta$

$\frac{1-\sin\theta}{\cos^2\theta}$

We can rewrite this expression as

$\frac{1}{\cos^2\theta}-\frac{\sin\theta}{\cos^2\theta}$

Finally, the simplified expression is

$\sec^2\theta-\tan\theta\sec\theta$

6 0

2 years ago

Read 2 more answers

Solve 4x + 11 = k for x.

steposvetlana [31]

Answer:

Step-by-step explanation:

Simplifying

4x + 11 = k

Reorder the terms:

11 + 4x = k

Solving

11 + 4x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 4x = -11 + k

Combine like terms: 11 + -11 = 0

0 + 4x = -11 + k

4x = -11 + k

Divide each side by '4'.

x = -2.75 + 0.25k

Simplifying

x = -2.75 + 0.25k

4 0

2 years ago

Amelia borrows $13450 for a round-the-world trip. Her repayments are $128 per week for 3 years. How much interest is she charged

ololo11 [35]

First we need to calculate the total payments by multiplying the payment per week times number of weeks in a year times 3 years
Total payments=128×52weeks×3years
=19,968

Subtract the amount borrowed from the total payments to get the interest charged
Interest charged
=19,968−13,450=6,518

Hope it helps!

3 0

2 years ago

Millions of dollars of the movie "Avatar" for successive Fridays

vivado [14]

What lesson is this ?

4 0

2 years ago

Solve the equation:<br> x + 3 = 11<br> X=11<br> X=23<br> X=14<br> X=8

Illusion [34]

Answer:

x-13=0

Step-by-step explanation:

4 0

2 years ago