2 years ago

What is the intercept of -3x + 4y = 24

1 answer:

7 0

X-intercept:
-3x + 4y = 24

Sub y = 0

-3x + 4(0) = 24

-3x + 0 = 24

-3x = 24

x = -8

y-intercept:
-3x + 4y = 24

Sub x = 0

-3(0) + 4y = 24

0 + 4y = 24

4y = 24

y = 6

Hope it helps :)

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Lorico [155]

Answer:

x=53

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H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

$2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93$

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3 years ago

Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle

kakasveta [241]

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:

$c^2=a^2+b^2.$

The hypotenuse is the side with the greatest length.

Check all options:

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2. c=14, a=4, b=11:

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3. c=17, a=9, b=14:

$17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2$ false.

4. c=16, a=8, b=14:

$16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2$ false.

5. c=17, a=8, b=15:

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Answer: correct options are A and E.

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Answer:

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