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Snezhnost [94]
3 years ago
14

Find an equation of the line. Write the equation using function notation. Through (4,−7)​; perpendicular to 3y=x−6

Mathematics
1 answer:
icang [17]3 years ago
8 0
To make an line perpendicular to another, you must take the slope of the first line and find its negative inverse to put in the second.
3y=x-6 --> y=(x-6)/3 --> y=1/3x-2
The slope of the first line is 1/3 so the slope of the second line will be -3.
Now you must use the point slope formula to find the actual equation of the second line.
y-y1=m(x-x1) --> y-(-7)=-3(x-4) --> y+7=-3x+12 --> y=-3x+5
Now you need to translate that to function notation, which is pretty easy. Simply remember f(x) = y. So...
f(x)=-3x+5, and that's your answer.
Remember to check your answers using a graphing calculator. If you don't have one, you can use one online. I recommend using https://www.desmos.com/calculator.
You might be interested in
Keith won a cash prize in an art competition. He gave his mother 2/5 of the money he won. Of the remainder, 1/4 was given to his
USPshnik [31]

Answer:

300 dollars

Step-by-step explanation:

Let the original amount = x

x - 2/5x  was what his mother's share looked.

5/5 x - 2/5 x

3/5x is what is left.

3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers

3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15

3/5x * (1 - 1/4 - 2/3) = 15

3/5 x 5/60 = 15

15 / 300 * x = 15

1/20  x = 15

x = 15 * 20

x = 300

7 0
3 years ago
Which expression is equal to 5/9
lesya [120]
Hello, There are endless expressions. Since, you multiply this fraction by a costant k / k

If k = 2

Then,

(5/9) = ( 5/9) × ( k / k)

= (5/9) × ( 2/2)

= (5 × 2 / 9×2)

= 10 / 18
________________

The only restriction for k is zero and the infinite. Because there is no "0/0" and "infinito/ infinito" at math.


3 0
3 years ago
Write the congruency statement for the triangles. _______In triangles MNO and JKL, there are two congruent sides and included an
mafiozo [28]

Answer:

ΔJKL ≅ ΔMNO by SAS

Step-by-step explanation:

The question is incomplete, the question is as following:

ΔMNO is shown.

Which Δ below can be shown to be congruent to ΔMNO with only the given information?

Name the postulate that justifies your answer (SAS, AAS, HL, ASA or SSS).

Write the congruency statement for the triangles.

And see the attached figure which represent ΔMNO

==========================================================

Check the given options to see which triangle from the option will be congruent to ΔMNO

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - which mean (angle - side - side)

The (angle - side - side) Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.

2. In triangles MNO and DEF, there are two congruent sides - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles - which mean AAA (angle - angle - angle)

The AAA Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. This postulate is used to prove the similarity between the triangles.

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS (side - angle - side)

MN ≅ JK , MO ≅ JL , ∠M ≅ ∠J

5 0
3 years ago
20% of the total candy in a basket is Reese's chocolate. There are 8 Reese's in the basket. What is the total number of pieces o
Likurg_2 [28]

Answer:

I believe it is 40. I'm not 100% sure though

Step-by-step explanation:

If 20% of the candy is reese's and there are 8 reese's in the basket, to find the answer you must multiply 8 by 5. You multiply 8 by 5 because to get 100% you have to multiply 20% by 5 to get 100%.

6 0
3 years ago
I need help with This one
balandron [24]

Answer:

1 and 2

Step-by-step explanation:

If y was 1: -2 x 1 + 18 = -2 + 18

= 16  This works

If y was 2: -2 x 2 + 18 = -4 + 18

= 14  This works

If y was 3: -2 x 3 + 18 = -6 + 18

= 12  This does not work since -2y + 18 has to be <u>greater</u> than 12.

7 0
3 years ago
Read 2 more answers
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