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Phoenix [80]
3 years ago
9

Use the graph. Which equation is true from the information in the graph?

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
From the graph, we see that two similar triangles are created by using the slope of the line.
• Because the two triangles appear to have congruent angles and proportional side lengths, we can conclude with the information we have that the two triangles are indeed similar. They are the same shape but proportional with congruent angles.
• Therefore, a/b = c/d because the scale factor remains the same of both ratios.
•We can also see that in larger triangle, the slope = 3/6 and the slope of the smaller one = 2/4. 3/6 = 2/4 because 3/6 = 1/2 and 2/4 = 1/2. Therefore, the slopes are proportional and equal.
• Because the slopes are proportional and the triangles are proportional, the a/b = c/d.
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james has $3000 in credit card debt, which charges 14% interest. how long will it take to pay off the card if he makes the minim
GREYUIT [131]

Answer:

The answer is approx 75 months.

Step-by-step explanation:

We have P = 3000

r = 14%

Monthly payment = $60

We will use the formula :

[(0.14/12) \times3000] / [1- (1+(0.14/12)^{-12n}]

Solving this we get n = approx 75 months. After 75 months few dollars will be left. And in the 76th month the balance will become negative.

For easy and better understanding, I have attached an excel sheet.

The answer is approx 75 months.

Download xlsx
7 0
4 years ago
Please help with this
WINSTONCH [101]

Answer:

x = 25

Step-by-step explanation:

Step 1: Make a proportion

40/20 = 50/x

Step 2: Solve your proportion

2 = 50/x

2x = 50

x = 25

3 0
3 years ago
Read 2 more answers
Sydney drew segment AC and segment BC to help her use the Pythagorean theorem
kenny6666 [7]

Answer: B

Step-by-step explanation:

The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.

a^2+b^2=c^2

Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.

(x^2-x^1)^2+(y2-y1)^2= AB

The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.

4 0
3 years ago
Thee vertex of a parabola is (-5,2), and its focus is (-1,2). What is the standard form of the parabola?​
Alla [95]

Check the picture below.  So the parabola looks more or less like so.

\bf \textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill

\bf \begin{cases} h=-5\\ k=2\\ p=4 \end{cases}\implies 4(4)[x-(-5)]=[y-2]^2\implies 16(x+5)=(y-2)^2 \\\\\\ x+5=\cfrac{1}{16}(y-2)^2\implies x = \cfrac{1}{16}(y-2)^2-5

6 0
3 years ago
Read 2 more answers
Kaylee opened an account with a deposit of $800. The bank pays 4% annual simple interest on this account. Kaylee makes no additi
Karolina [17]
The answer is 32.00
4 0
3 years ago
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