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Dimas [21]
3 years ago
5

What is the slope of the line passes through the pair of points (-4.1,7.4), (4.3,3.2)

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
Hi there! The formula for finding the slope is y2 - y1/ x2 - x1. This means you subtract the first x and y-coordinates form the second x and y-coordinates. (-4.1, 7.4) is the first coordinate and (4.3, 3.2) is the second coordiante. Set it up like this:

3.2 - 7.4 / 4.3 - (-4.1)

Now, let's subtract. 3.2 - 7.4 is -4.2. 4.3 - (-4.1) is 9.4. -4.2/9.4 is -0.5 when simplified. There. The slope of the line is -0.5. The answer is C: -0.5.

Note: When you subtract a negative number, you're actually adding. So if an expression is 2 - (-3), the answer is 5, because you add 3 into 2.
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Point D is in the interior of ZABC, m ABC = 10x - 7, m_ABD = 6x + 5, and m DBC = 36. What is m ABD?
mestny [16]

Answer:

<h3>77</h3>

Step-by-step explanation:

If Point D is in the interior of <ABC, then <ABD+<BDC = <ABC

Given

<ABC = 10x - 7,

<ABD = 6x + 5

<DBC = 36

Substituting the given parameters into the formula above;

ABD+<DBC = <ABC

6x + 5+ 36 = 10x-7

6x+41 = 10x-7

collect like terms

6x-10x = -7-41

-4x = -48

divide both sides by -4

-4x/-4 = -48/-4

x = 12

To get <ABD, we will substitute x = 12 into the expression <ABD = 6x + 5

<ABD = 6(12)+5

<ABD = 72+5

<ABD =77

Hence the value of <ABD is 77

5 0
3 years ago
Which of these is an algebraic expression? A. 1 + 2 B. 2b – 5 C. 6 × 4 D. 102
Bingel [31]
If i understand the question the answer would be:
B. 2b - 5
5 0
3 years ago
4 out of 5 students eat a school lunch there is 495 kids in the school how many kids eat home lunch's
Whitepunk [10]

Answer:

99

Exp:

495*.2=99

8 0
2 years ago
What two fractions equal -3/5
Kaylis [27]

Answer:

-6/10 and -12/10 (I think)

Step-by-step explanation:

7 0
3 years ago
Miguel has run three marathons. The first time he ran a marathon, it took him m minutes. The next time he ran he
Arisa [49]

The expression for the amount of time it took Miguel to run the

marathon the third time is 0.855 m

Step-by-step explanation:

Miguel has run three marathons

  • The first time he ran a marathon, it took him m minutes
  • The next time he ran he  cut 10% off his time
  • The third time he ran a marathon, he was able to cut an additional 5% off his fastest time  (the time he got on the second marathon)

We need to write an expression for the amount of time it took Miguel

to run the  marathon the third time

∵ It took him m minutes to run the first marathon

∵ In second marathon he cut 10% off his time

∴ The time of the second marathon = m - 10% × m

∵ 10% × m = (10/100) m = 0.1 m

∴ The time of the second marathon = m - 0.1 m = 0.9 m

∴ It took him 0.9 m minutes in the second marathon

∵ In the third marathon he cut additional 5% off his time in

   the second marathon

∵ His time in the second marathon = 0.9 m

∴ The time of the third marathon = 0.9 m - 5% × 0.9 m

∵ 5% × 0.9 m = (5/100)(0.9 m) = 0.045 m

∴ The time of the third marathon = 0.9 m - 0.045 m = 0.855 m

∴ It took him 0.855 m minutes in the third marathon

The expression for the amount of time it took Miguel to run the

marathon the third time is 0.855 m

Learn more:

You can learn more about writing the expressions in brainly.com/question/13087541

#LearnwithBrainly

6 0
3 years ago
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