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Mathematics

1 answer:

Lera25 [3.4K]2 years ago

6 0

The equation for slope is y=mx+b therefore your equation would be y=.5x+2 or y=1/2+2
both of these are correct just the matter of fact of what way your teacher wants you to use :)

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what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until

VladimirAG [237]

Answer:

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = $\sqrt{256}$ = 16

Now find AD² from ΔACD and ΔABD

ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²

ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C

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2 years ago

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Clare used 25% less butter this month than last month when baking holiday treats. If she used 240 tablespoons of butter last mon

amm1812

Answer:

I think she used 180 tablespoons of butter this month.

Step-by-step explanation:

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2 years ago

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Which set of ordered pairs could be generated by an exponential function?

klemol [59]

Answer: Third option.

Step-by-step explanation:

By definition, Exponential functions have the following form:

$y = ab^x$

Where "b" is the base ( $b > 0$ and $b\neq 1$ ), "a" is a coefficient ( $a\neq 0$ ) and "x" is the exponent.

It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.

Then, for an input value 0 ( $x=0$ ) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 ( $y=1$ ).