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2 years ago

What is the slope of the line graphed below? A) -5/2 B) 5/2 C) -2/5 D) 2/5

Mathematics

1 answer:

Oxana [17]2 years ago

6 0

C) -2/5, the slope is negative because your rise goes downward, and you always put rise over run so its -2/5 instead of -5/2

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The polygons below are similar. Find the value of y. 4.5 12 16 Guess: 16

elena55 [62]

I believe its 4.5
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3 years ago

Whats the distance given between (-4,1) and (2,0)

inn [45]

Answer:

√37

Step-by-step explanation:

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3 years ago

Find f(h(-1)) 2 -9 11 -11

kumpel [21]

Answer:

(d) -11

Step-by-step explanation:

Each of the functions is evaluated in the usual way: put the number where the variable is in the expression and simplify.

h(-1) = -2(-1)² -3(-1) +1 = -2 +3 +1 = 2

f(2) = (2(2) +7)/(2 -3) = 11/-1 = -11

Then f(h(-1)) is ...

f(h(-1)) = f(2) = -11

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2 years ago

Find all complex numbers $z$ such that $z^4 = -4.$

patriot [66]

Converting -4 to polar form gives $-4=4\exp(i\pi)$ .

Then the 4th roots of -4 would be the numbers

$4^{1/4}\exp\left(i\dfrac{\pi+2k\pi}4\right)$

where k is taken from {0, 1, 2, 3}.

So we have

$z_1=4^{1/4}\exp\left(\dfrac{i\pi}4\right)=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)=1+i$

$z_2=\sqrt2\left(\cos\dfrac{3\pi}4+i\sin\dfrac{3\pi}4\right)=-1+i$

$z_3=\sqrt2\left(\cos\dfrac{5\pi}4+i\sin\dfrac{5\pi}4\right)=-1-i$

$z_4=\sqrt2\left(\cos\dfrac{7\pi}4+i\sin\dfrac{7\pi}4\right)=1-i$

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3 years ago

Gianni added 1 3/4 cup of pecans and 1 1/3 cup of walnuts to a recipe.

Margaret [11]

Hello there.

How many cups of nuts did Gianni add to the recipe?

Cups 3 1/12.

3 0

3 years ago