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2 years ago

Use the signed numbers to solve.

Mathematics

1 answer:

DaniilM [7]2 years ago

8 0

-850 feet, -1200+800-450, Assuming that it started at 0

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If ABC=DEF and MNO=PQR, then ABC=PQR by the transitive property.

zavuch27 [327]

Answer:

B. False

Step-by-step explanation:

There is not enough information to make that conclusion. The two statements are completely unrelated, so the transitive property cannot be used. None of the given statements say that ABC is congruent to MNO or PQR. That means that nothing can be assumed about DEF. To use the transitive property you would need proof that ABC=MNO or ABC=PQR. But neither of those statements are there so the answer is false.

3 0

3 years ago

19. Thomas has a recipe for punch that calls for 2 quarts of juice and 3 quarts of soda.

GaryK [48]

Answer:

7.5 quarts of soda

Step-by-step explanation:

Kindly refer to the attached image for explanations

8 0

3 years ago

What is the area of the circle? *.

EastWind [94]

The formula is pi times the radius squared (A = π r²).

So it might be 78.53

6 0

3 years ago

Read 2 more answers

How many integers between $1$ and $200$ are multiples of both $3$ and $5$ but not of either $4$ or $7$

Rainbow [258]

There are only 13 multiples of both 3 and 5, since

$200 = 3\cdot5\cdot13 + 5$

From these integers, we eliminate any that are also divisible by 4 or 7.

$3\cdot5\cdot4 = 60 \implies \{60,120,180\}$

$3\cdot5\cdot7 = 105 \implies \{105\}$

so there are 13 - 4 = 9 such integers.

3 0

1 year ago

Find the slope of the normal line to y=x+cos(xy) at (0,1)

DaniilM [7]

Derivating the equation:

$y=x+\cos(xy)\Longrightarrow y'=1+(-y\sin(xy)-xy'\sin(xy))\iff \\\\y'=1-y\sin(xy)-xy'\sin(xy)\iff y'+xy'\sin(xy)=1-y\sin(xy)\iff \\\\y'=\dfrac{1-y\sin(xy)}{1+x\sin(xy)}$

So the slope of the tangent in the point (0,1) is:

$y'=\dfrac{1-y\sin(xy)}{1+x\sin(xy)}\Longrightarrow y'=\dfrac{1-1\sin(0\cdot1)}{1+0\sin(0\cdot1)}\Longrightarrow y'=1$

Then, the slope of the normal (n) line in the point (0,1) is:

$n\cdot y'=-1\Longrightarrow n\cdot1=-1\iff\boxed{n=-1}$

4 0

3 years ago

Read 2 more answers