1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga55 [171]
2 years ago
13

Does the graph of the straight line with slope of -3 and y-intercept of -4 pass through the point (-2, 2)?

Mathematics
2 answers:
vodka [1.7K]2 years ago
7 0

Answer:

abcdefghijklmnopqrstuvwxyz

valentinak56 [21]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - 3 and c = - 4 , then

y = - 3x - 4 ← is the equation of the line

To determine if (- 2, 2) lies on the line, substitute x = - 2 into the equation and if y equals 2 then the point lies on the line.

y = - 3(- 2) - 4 = 6 - 4 = 2 ← true

Then the line passes through (- 2, 2 )

You might be interested in
jamal is going to borrow $14,000 from his credit union to buy a used car. The APR is 7.0% and the length of the loan is 4 years.
Ket [755]
His total amount of interest will be $2,091.88
4 0
2 years ago
Read 2 more answers
Robert types 152 words per minute. How long will it take Robert to type 2,508<br> words?
Novay_Z [31]
2,508 divided by 152 is equal to 16.5
I say 17 minutes, since 152x16=2,432 so a extra minute is needed to get to 2,508
7 0
2 years ago
Read 2 more answers
Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanatio
motikmotik

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

<em>Subtract 5b from both sides</em>

10a=4.2-5b

<em>Subtract 4.2 from both sides</em>

10a-4.2= -5b

<em>Multiply both sides by -1</em>

-10a+4.2=5b

8a+10b=5.4

<em>Subtract 10b from both sides</em>

8a=5.4-10b

<em>Subtract 5.4 from both sides</em>

8a-5.4= -10b

<em>Multiply both sides by -1</em>

-8a+5.4= 10b

<em>Divide both sides by 2</em>

-4a+2.7=5b

<u>Combine equations:</u>

-4a+2.7= -10a+4.2

<em>Add 10a to both sides</em>

6a+2.7=4.2

<em>Subtract 2.7 from both sides</em>

6a=1.5

<em>Divide both sides by 6</em>

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

<em>Subtract 10a from both sides</em>

5b= -10a+4.2

<em>Subtract 4.2 from both sides</em>

5b-4.2= -10a

<em>Multiply both sides by -1</em>

-5b+4.2=10a

8a+10b=5.4

<em>Subtract 8a from both sides</em>

10b= -8a+5.4

<em>Subtract 5.4 from both sides</em>

10b-5.4= -8a

<em>Divide both sides by 4</em>

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

<em>Multiply both sides by -1</em>

-12.5b+6.75=10a

<u>Combine equations:</u>

-12.5b+6.75= -5b+4.2

<em>Add 12.5b to both sides</em>

6.75=7.5b+4.2

<em>Subtract 4.2 from both sides</em>

2.55=7.5b

7.5b=2.55

<em>Divide both sides by 7.5</em>

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

3 0
3 years ago
A company has a total of 20000 allocated for monthly costs fixed costs are 15000 per month and varible costs are 18.50 per unit
GaryK [48]
X=270 units
270 units can be manufactured per month
3 0
3 years ago
Read 2 more answers
Please help me thank youuu
zhuklara [117]

Answer:

m<Q = 133°

Step-by-step explanation:

From the question given above, the following data were obtained:

m<P = (x + 13)°

m<Q = (10x + 13)°

m<R = (2x – 2)°

m<Q =?

Next, we shall determine the value of x. This can be obtained as follow:

m<P + m<Q + m<R = 180 (sum of angles in a triangle)

(x + 13)° + (10x + 13)° + (2x – 2)° = 180

x + 13 + 10x + 13 + 2x – 2 = 180

x + 10x + 2x + 13 + 13 – 2 = 180

13x + 24 = 180

Collect like terms

13x = 180 – 24

13x = 156

Divide both side by 13

x = 156 / 13

x = 12

Finally, we shall determine m<Q. This can be obtained as follow:

m<Q = (10x + 13)°

x = 12

m<Q = 10(12) + 13

m<Q = 120 + 13

m<Q = 133°

8 0
3 years ago
Other questions:
  • Math question can you answer it
    12·1 answer
  • Find the sum <br> 3 3/15 + 4 2/5<br><br> A) 2 1/2<br> B) 22 4/5<br> C) 7 3/5<br> D) 5/38
    5·2 answers
  • 0 .0346 as a fraction.
    9·1 answer
  • Select the expressions that are equivalent to 8 2/3
    10·1 answer
  • Find the measures of the angles in ∆ABC if m∠A : m∠B : m∠C = 2:3:4.
    11·1 answer
  • What equation represents an exponential function that passes through the point (2, 80)?
    12·1 answer
  • What is 8 (x+y) - 4 (x-y) ?
    15·1 answer
  • How do you find the degree of a polynomial function/ graph in algebra 2??
    15·1 answer
  • I'm doing some map testing please help
    9·1 answer
  • Steve has 26 coins in quarters and dimes.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!