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umka2103 [35]
3 years ago
15

Write the slope-intercept form of the equation of the line through the given points.

Mathematics
2 answers:
navik [9.2K]3 years ago
8 0

Answer:

12) y = -x - 5

Step-by-step explanation:

y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1)

12) (0, -5), (-1, -4)

y - (-5) = \dfrac{-4 - (-5)}{-1 - 0}(x - 0)

y + 5 = \dfrac{-4 + 5}{-1}(x)

y + 5 = \dfrac{1}{-1}(x)

y = -x - 5

Gwar [14]3 years ago
7 0

Answer:

work is pictured and shown

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Solve each triangle for the missing values shown. Show all work necessary. Use exact values
Gelneren [198K]

3)

Cos 60°= \frac{1}{2} = \frac{Adjacent} {Hypotenuse} = \frac{y} {10} \\\\ 2y=10 \\\\ y=5

Now, use Pythagoras theorem to find x

x^2+y^2=10^2 \\\\ \to x^2+5^2=10^2 \\\\ \to x^2+25=100 \\\\ \to x^2 = 100-25 \\\\ \to x^2= 75 \\\\ \to x= \sqrt{75} \\\\ \bf 5 \sqrt{3}

Similarly,

4)

Sin 45°= \frac{1}{\sqrt{2}} = \frac{Opposite} {Hypotenuse} =\frac{2 \sqrt{2}} {a} \\\\ a= 2 \sqrt{2} \times \sqrt{2} \\\\ a=4

Now, use Pythagoras theorem to find b

b^2+(2 \sqrt{2}) ^2=a^2 \\\\ \to b^2+8=4^2 \\\\ \to b^2=16-8  \\\\ \to b^2 = 8\\\\ \to b= \sqrt{8} \\\\ \bf b=2 \sqrt{2}

You can solve all of them in a similar way.

: )

7 0
3 years ago
Solve: Tan20. Tan 40. Tan 80<br><br>plaease help me.....​
earnstyle [38]

Answer: you need more information to solve

Step-by-step explanation:

7 0
3 years ago
If you invested $600 at 3% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentence
zzz [600]

Answer:

I would rather do the second option of which uses Compound interest that will give a profit of $47.85

Step-by-step explanation:

In this problem we will be exploring the two formulas

1. simple interest

A= P(1+r*t)

2. compound interest

A= P(1+r/n)^nt

Where A= final amount

P= initial amount

r= rate

t= time.

n= number of periods Compounded

1.given data

P= $600

r= 3%= 3/100= 0.03

t= 2 years

A= 600(1+0.03*2)

A= 600(1+0.06)

A= 600(1.06)

A= $636

Interest = 636-600= $36

2. Given data

P= $600

r= 4%= 4/100= 0.04

n= 24

t= 2

A= 600(1+0.04/24)^24*2

A=600(1+0.0016)^48

A=600(1.0016)^48

A= 600*1.07975

A= 647.85

Interest = 647.85-600= $47.85

7 0
3 years ago
When will the equation xn = c, where c is a whole number, have two solutions? Explain.
Kazeer [188]
If x=n then it would have 2 solutions because it would be x^2 = c which has a positive and negative solution but idk if that is what you are asking for
3 0
3 years ago
Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon.
Vesna [10]

Answer:

20

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you.  1040/52=20 so every 20 miles cost 1 gallon of gas

8 0
3 years ago
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