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liq [111]
2 years ago
5

Line contains points M(1, 3) and N(5, 0). What is the slope of MN?

Mathematics
2 answers:
alexgriva [62]2 years ago
6 0
B. Use the formula m=(Y2-Y1)/(X2-X1). For this problem it would be (0-3)/(5-1)= -3/4.
stellarik [79]2 years ago
3 0
The slope, m, of the line is calculated through the equation,

      m = (y₂ - y₁) / (x₂ - x₁)

where x's are the abscissas of the ordered pair and x's are the ordinates. Substituting the given values to the equation above,

   m = (0 - 3)/(5 - 1) = -3/4

The slope of the line is -3/4 and the answer is letter B. 
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A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement i
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Answer:

strawberry yogurt makes up less than 1/3 of their sales

Step-by-step explanation:

In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.

3 0
2 years ago
Tara owes $14,375 in credit card debt. The interest accrues at a rate of 5.3%. She is also borrowing $570 each month for rent fr
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Answer:

(f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t

$29619.13

Step-by-step explanation:

a. Tara has $14375 in credit card debt and the interest rate is 5.3%.

Now, if f(t) represent the amount of money Tara have in credit card debt, where t is the number of years after after interest begins to accrue, then  

f(t) = 14375 (1 + \frac{5.3}{100})^{t} ......... (1)

Again Tara borrows $570 each month for rent from her parents without any interest.  

If g(x) represent the amount of money Tara owes to her parents, where t represents the number of years passed,then we can write  

g(t) = 570 × 12t = 6840t ........ (2)

Therefore, (f + g)(t) = f(t) + g(t) = 14375 (1 + \frac{5.3}{100})^{t} + 6840t

b. So, for t = 2 years,  

(f + g)(t) = 14375 (1 + \frac{5.3}{100})^{2} + 6840 \times 2 = $29619.13

So, Tara has to repay $29619.13 if she continues this way without any repayment for 2 years. (Answer)

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1 year ago
A set of notations (SSS, SAS, ASA and RHS) is used to describe/prove that two triangles are conjurent. For each pair of triangle
lana66690 [7]

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

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