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3 years ago

Line C passes through the points (-6, -2) and (3,8). Line Fis perpendicular to Line C. What is the slope of Line F?

Mathematics

1 answer:

adoni [48]3 years ago

4 0

Answer:

-9/10

Step-by-step explanation:

The slope of line C is $m=\frac{8-(-2)}{3-(-6)}=\frac{10}{9}$ .

The slope of any line perpendicular to line C is the negative (opposite) reciprocal of this slope.

The slope of line F is $-\frac{9}{10}$ .

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Write an expression that can be used to multiply 6x198 mentally

RoseWind [281]

Do a mental sum for 6 x 200 (1200) then subtract 6x 2 (12) to give you 1188.

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3 years ago

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blagie [28]

Answer: For the first part, her total savings would be $88, and for the second part, (let's pretend s = the total savings) the equation would be s = 40 + w x 6.

Step-by-step explanation: As for the first part, we would need to multiply her money per week times the amount of weeks she works. We can do this by simply multiplying the amount she makes (6) by the amount of weeks she works (8), resulting in 48, but we still have to add that number to the amount she already has, or 40, making $88 in total, as for the second part, this does a great job of explaining the reasoning behind that as well. Hope this answered your question!

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3 years ago

Mason has a collection of .49 stamps, .20 stamps and .3 stamps worth 23.55. He has 56 total .49 and .20 stamps and the number of

Nezavi [6.7K]

Answer: Mason has 40 forty-nine cent stamps, 16 twenty cent stamps and 25 three cent stamps

Step-by-step explanation:

Let x represent the number of 49 cent stamps that Mason has.

Let y represent the number of 20 cent stamps that Mason has.

Let z represent the number of 3 cent stamps that Mason has.

Mason has a collection of 49 cent stamps, 20 cent stamps, and 3 cent stamps worth $23.55. This means that

0.49x + 0.2y + 0.03z = 23.55 - - - - -1

He had 56 total 49 cent and 20 cent stamps. This means that

x + y = 56

x = 56 - y

The number of 3 cent stamps is nine more than the number of 20 cent stamps. This means that

z = y + 9

Substituting x = 56 - y and z = y + 9 into equation 1, it becomes

0.49(56 - y) + 0.2y + 0.03(y + 9) = 23.55

27.44 - 0.49y + 0.2y + 0.03y + 0.27 = 23.55

27.44 + 0.27 - 0.49y + 0.2y + 0.03y = 23.44

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y = - 4.16/ - 0.26y

y = 16

x = 56 - y = 56 - 16

x = 40

z = y + 9 = 16 + 9

z = 25

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3 years ago

Find the Measure of angle O (see image) Only real answers, please

-Dominant- [34]

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

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$(8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}$

angle M=angle N= (6×18)+20=108+20 =128°

angle O =(180°-128°)=52°

<h3>Hence, angle O is 52°.</h3>

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3 years ago

511 = -7 (10x – 13) steps

PilotLPTM [1.2K]

Answer: $x=-6$

Simplify both sides of the equation

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Flip the equation

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Divide both sides by -70

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