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Juliette [100K]
3 years ago
10

How to graph a line that passes through (-1,-7) and has a slope of 4

Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

y=4x-3

Step-by-step explanation:

First, write your equation as y=4x+b. Plug in your coordinate to the equation, it should look like this: -7=4(-1)+b. Multiply 4 by -1 to get -4. It should look like this: -7= -4+b. Add 4 to both sides to get your y-intercept of -3. Go back to your original equation and plug in -3 to b. This is your final equation: y=4x-3. Hope this helped!

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nit 4 Topic 3 HW Sets Applications e Sunday by 11:59pm Points 100 Submitting an external tool Question How many subsets and prop
dangina [55]

Answer:

ghthtf

Step-by-step explanation:

tygtgg

5 0
3 years ago
The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen
Alex Ar [27]
For the answer to the question above,  
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years. 
V(0) = 3500 
V(2) = 2000 

n = 0 
V(0) = a * b^0 = 3500 
a = 3500 

V(2) = a * b^2 
2000 = 3500 * b^2 
b = sqrt (2000/3500) 
b ≈ 0.76 

V(n) = 3500 * 0.76^n 

We can check it for n = 1 which is close to 2500 in the graph: 
V(1) = 3500 * (0.76)^1 
V(1) = 2660 

And in the graph we have V(3) ≈ 1500, 
V(n) = 3500 * (0.76)^3 ≈ 1536 

Now n = 9.5 
V(9.5) = 3500 * (0.76)^(9.5) 
V(9.5) ≈ 258</span>
4 0
4 years ago
Read 2 more answers
5/21 Marks
cricket20 [7]

Answer:

large jar

Step-by-step explanation:

large jar= £1.54 (divide) 440= 0.0035

small jar= £1.26 (divide) 340= 0.0037

as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money

8 0
3 years ago
)Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the
konstantin123 [22]

Answer:

a=\sqrt{7}

\text{tan}(A)=\frac{\sqrt{7}}{3}

Step-by-step explanation:

Please find the attachment.

We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.  

To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.

a^2+b^2=c^2

Upon substituting our given values in Pythagoras theorem, we will get:

a^2+3^2=4^2

a^2+9=16

a^2+9-9=16-9

a^2=7

Take square root of both sides:

a=\sqrt{7}

Therefore, the length of side 'a' is \sqrt{7} units.

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.

\text{tan}(A)=\frac{a}{b}

\text{tan}(A)=\frac{\sqrt{7}}{3}

Therefore, the value of tan(A) is \frac{\sqrt{7}}{3}.

3 0
3 years ago
Solve the following: 2x-7/4=x+3/3​
Strike441 [17]

Answer:

x=16\frac{1}{2}=16.5

Step-by-step explanation:

\frac{2x-7}{4}=\frac{x+3}{3}\\  \\3(2x-7)=4(x+3)\\\\6x-21=4x+12\\\\6x-4x=12+21\\\\2x=33\\\\x=33/2\\\\x=16\frac{1}{2}

5 0
4 years ago
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