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
Lina20 [59]
3 years ago
12

Can someone explain to me how to do this?

Mathematics
1 answer:
elena55 [62]3 years ago
6 0
In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction - \frac{-5-1}{0-4}, which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)=\frac{3}{2}x-5<span />
You might be interested in
Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16
ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option  (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: a^2+b^2=c^2

Thus:

\sqrt{a^2+b^2}=c

Option A:

\sqrt{8^2+15^2}=17 → 17 = 17 OK!

Option B:

\sqrt{6^2+8^2}  = 10 → 10 ≠ 12 NO

Option C:

\sqrt{9^2+11^2} = [tex]\sqrt{202}[/tex] → \sqrt{202} ≠ 21 NO

Option D:

\sqrt{4^2+13^2} = \sqrt{185} → \sqrt{185} ≠ 16 NO

3 0
3 years ago
In triangle JKL, sin(b°) = three fifths and cos(b°) = four fifths. If triangle JKL is dilated by a scale factor of 2, what is ta
scoundrel [369]

Answer:

Tan(b°) = 3/4 = three fourths (C)

Step-by-step explanation:

Triangle JKL is a right angled triangle in which angle K is a right angle and angle L= b°

We would apply SOHCAHTOA from trigonometry to determine the value for each sides.

For ∆JKL

Sin(b°) = opposite/hypotenuse

Sin(b°) = 3/5

Cos(b°) = adjacent/hypotenuse

Cos(b°) = 4/5

Tan(b°) = 3/4

From the above we know the value of each sides of ∆JKL

Find attached the diagram of the above triangle (1)

∆JKL is dilated by a scale factor = 2

Meaning we would multiply each sides of ∆JKL by 2. The values of the new triangle become:

Opposite = 2(3) = 6

Adjacent = 2(4) = 8

Hypotenuse = 2(5) = 10

To find tan(b°) of the new triangle, we would apply tangent ratio

Tan(b°) = opposite/adjacent

Tan(b°) = 6/8

Tan(b°) = 3/4

Find attached the diagram for the new triangle (2)

Diagram 3 shows the drawing of both triangles together.

From the above, we can see the angle doesn't change when a shape is dilated by a scale factor.

Therefore, tan(b°) = three fourths (C)

6 0
3 years ago
Solve the following system of equations:
antoniya [11.8K]
I think the answer is B
8 0
3 years ago
Read 2 more answers
Solve this quadratic equation. x^2+2x-22=0
torisob [31]
X=⁻3 and x=1
because 
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22
7 0
3 years ago
Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?
Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

T = E + P

4P = E + P

E = 3P

Now we find the time.

E = P*0.04*t

3P = P*0.04*t

0.04t = 3

t = \frac{3}{0.04}

t = 75

It takes 75 years for the investment to quadruple in value

7 0
3 years ago
Other questions:
  • Please help<br><br> -6+? =-8
    13·2 answers
  • Suppose you have 15$ coupon that can be used on any purchase over 100$ at your favorite clothing store . The discounted price of
    5·2 answers
  • Scaling up a recipe this recipe makes three dozen cookies. you want to make enough cookies so that 360 people each get two cooki
    9·1 answer
  • In an essay the writing strategy of telling a story is intended to do what
    9·2 answers
  • How many wheels are on 27 cars?
    13·2 answers
  • Julia owns a clothing shop and went to a merchant's fair where she was able to buy 6 leather belts for $130. She then sells them
    8·1 answer
  • Jen bought some shirts from Store A for $15 each and a pair of pants for $45. Stacey bought some shirts at Store B for $20 each
    7·1 answer
  • Which set of statements shows the correct steps to find 45 percent of 75?
    13·2 answers
  • Suppose that 29\%29%29, percent of undergraduates at a large university are involved in a campus organization. The administratio
    5·1 answer
  • Segment AE is congruent to segment EB
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!