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ira [324]
3 years ago
8

Find the value of r so the line that passes through the pair of points has the given slope.

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

x_1=12, y_1=10\\x_2=-2, y_2=r

Putting the values in slope of line formula,

-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\

Multiplying both sides by -14

-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66

The value of r is 66

Hence,

The missing value in the ordered pair is 66

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What is the weight of 320 jars if each jar weighs 3 pounds 2 ounces?
salantis [7]
First, covert 3 pounds to ounces...then add the 2 ounces given. The weight of one jar, in ounces, is 50 ounces. Given that, multiply 320 by 50. The answer to that is 16,000. Therefore, there are 16,000 in 320 jars. To get the answer pack to pounds....divide 16,000 by 16 since there are 16 ounces in a pound. The answer would be 1,000 pounds. Meaning, there are 1,000 pounds OR 16,000 ounces in 320 jars. Hope this helps :)
3 0
3 years ago
According to the fundamental theorem of algebra, how many zeros does the function f(x)=4x^3-x^2-2x+1 have?
Ksivusya [100]
Since the maximum exponent of x is 3, there should be three roots.
Unless you have a root squared and multiplyed by a different root, you will only have two roots since two are the same.
Also, if all three roots are the same, you only have one root.
4 0
3 years ago
Select the correct answer
Kitty [74]

Answer:

(4,-7)

Step-by-step explanation:

-w=(5,-3)

-z=(-1,-4)

so -w-z=(5-1,-3-4)

4 0
3 years ago
20. The H.M. between 2 and 8 is<br>(1 marks )​
e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

16/5 = 15/5 + 1/5

16/5 = 3 + 1/5

16/5 = 3 & 1/5

Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2

6 0
3 years ago
Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring? 10x3 3x2−20x
Oksi-84 [34.3K]

Answer:

−2=−2x^3

Step-by-step explanation:

10x3= 3x2−20x−6=(10x3⋅(3x2))(−20x−6)=−600x6−180x5x2=−600x6−180x5−2x⋅(2x2)=−4x3−2x⋅x2=−2x^3

−2=−2x3

2x^2=−2x^3

−2=−2x^3

8 0
3 years ago
Read 2 more answers
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