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3 years ago

Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)

Mathematics

1 answer:

Otrada [13]3 years ago

6 0

Answer:

Perpendicular slope = – 1/m = -1/3 = -1/3

Step-by-step explanation:

Given the points

(-1,2)

(-2,-1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)$

$m=\frac{-1-2}{-2-\left(-1\right)}$

$m=3$

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Thus, the slope of any line perpendicular to GH = -1/3

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There 13 yellow cards, 6 blue, 10 red, 8 green cards in a stack of cards turned face down. Once a card is selected, it is not re

astra-53 [7]

Answer:

5/222

Step-by-step explanation:

you need to add all the cards together first

13 + 10 + 8 + 6 = 37

then you take out 1 card to find the first probability of the blue card (there are 6 blue cards out of 37)

so 6/37

that will be your first probability

then for the 2nd probability, you will have 1 less card grom the deck making it only 36 cards (after taking out the first one, there will be only 5 blue cards left)

making it 5/36

that will be the 2nd probability

then you multiply both these probabilities to find the answer

6/37 × 5/36 = 5/222

8 0

2 years ago

Ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Art [367]

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

$EF = ( BC + AD ) / 2$

Insert known equations.

$4x-18=[(x+12)+(3x-4)]/2$

Simplify within parentheses.

$4x-18=[x+12+3x-4]/2$

$4x-18=[x+3x+12-4]/2$

Add.

$4x-18=[4x+8]/2$

Divide.

$4x-18=2x+4$

Simplify.

$(4x-2x) +(-18+18)=(2x-2x)+(4+18)$

$2x=22$

Divide both sides by 2.

$x=11$

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

$BC =x+12$

$BC = 11+12$

$BC = 23$

$AD = 4x-18$

$AD = 4(11)-18$

$AD = 44-18$

$AD = 26$

$EF = 3x-4$

$EF = 3(11)-4$

$EF = 33-4$

$EF = 29$

Answer:

Part I: x = 11

Part II:

BC = 23
AD = 26
EF = 29

4 0

3 years ago

The graph represents function 1 and the equation represents function 2:

Deffense [45]

The correct answer is 2.

3 0

4 years ago

Which numbers are 4 units from -2 on the number line

Artemon [7]

Let the number be x

Then the absolute value of the number from -2 should be 4

$|x--2|=4$

$|x+2|=4$

So either

$(x+2)=4$

$x=4-2=2$

$-(x+2)=4$

$x+2=-4$

$x=-4-2$

$x=-6$

[tex] <B>The numbers are 2 and -6</B> [/tex[

They are four units away from -2 on the number line

4 0

3 years ago

Using partial quotients, which would be the best choice for the first number to subtract in the division problem 673 divided by

tiny-mole [99]

Answer:

Best for choice for the first number to subtract = 500

Step-by-step explanation:

The dividend is 673 while the divisor is 25

First step is to subtract from the dividend an easy multiple like 100 times the divisor,20 times the divisor, 10 times the divisor, 5 times the divisor 2 times the divisor etc.

The best choice for the first number to subtract will be 20 times the divisor because when we multiply 20 by 25 and subtract from 673,we will get 173. And the next quotient will be 6 which is in units as the first one of 20 was in tens.

Best choice to subtract = 20 × 25 = 500

5 0

4 years ago