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ale4655 [162]
2 years ago
6

Write equation in slope intercept form y-2=-7(x+3)

Mathematics
1 answer:
adell [148]2 years ago
4 0
Hmmmmmmmmm...............:....
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The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
3 years ago
The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes.
Juliette [100K]
The ratio of the radii is 2:1, so the ratio of their surface areas is 4:1. <span>The area of a sphere is defined by 4 * pi * r^2 </span>

<span>So if the radius of the first sphere is 2r, then it would be (2r)^2 = 4r^2 </span>

<span>The rest is the same. So the ratio of their surface areas would be </span>

<span>4 * pi * 4r^2 divided by </span>
<span>4 * pi * r^2 </span>

<span>or 4.</span>
7 0
3 years ago
Is it true that no integers are irrational numbers
vazorg [7]
Yes, irrational number are all numbers that are not rational and all integers are rational numbers
6 0
3 years ago
Read 2 more answers
a car rental agency charge 20 per day plus 30 cents per mile. if you had one of the car for 5 days and your total bill is $197.5
Flura [38]

Answer:

325 miles

Step-by-step explanation:

$20 for each day

5 days

$0.30 for each mile

20(5) + 0.3x = 197.5

100 + 0.3x = 197.5

100 - 100 + 0.3x = 197.5 - 100

0.3x = 97.5

\frac{0.3x}{0.3} = \frac{97.5}{0.3}

x = 325

6 0
3 years ago
Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a
maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

18.75= 1.25x +3.75y

Multiply the whole equation by 4 to remove the decimals:

75= 5x +15y

Simplify by dividing the whole equation by 5:

15 = x + 3y

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

x +3y= 15 -----(2)

x= -3y +15

\begin{tabular}{|c|c|c|c|} \cline{1-4}x &  -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0
3 years ago
Read 2 more answers
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