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3 years ago

How do i identify the slope in a math question?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

7 0

Answer:

y=mx+b is the equation for a line, x and y being coordinates, m as your slope and b as your y intercept. Slope is rise over run.

Step-by-step explanation:

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Consider the points A(-2,-1), B(4,-1), C(3,0), and D(3,5). Are segment AB and CD<br> congruent?

Iteru [2.4K]

I think the answer is yes?

7 0

3 years ago

Simplify the complex numbers using de Moivre's Theorem and match them with their solutions.

alexandr1967 [171]

For the numbers in $a+bi$ form, convert to polar form:

$1+i=\sqrt2\dfrac{1+i}{\sqrt2}=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)$

By DeMoivre's theorem,

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

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

$\implies(-1+i)^6=(\sqrt2)^6\left(\cos\dfrac{18\pi}4+i\sin\dfrac{18\pi}4\right)=8i$

$\sqrt3+i=2\dfrac{\sqrt3+i}2=2\left(\cos\dfrac\pi6+i\sin\dfrac\pi6\right)$

$\implies2(\sqrt3+i)^{10}=2^{11}\left(\cos\dfrac{10\pi}6+i\sin\dfrac{10\pi}6\right)=2^{11}\dfrac{1-i\sqrt3}2=2^{10}(1-i\sqrt3)$

For the numbers already in polar form, DeMoivre's theorem can be applied directly:

$2\left(\cos20^\circ+i\sin20^\circ\right)^3=2\left(\cos60^\circ+i\sin60^\circ\right)=2\dfrac{1+i\sqrt3}2=1+i\sqrt3$

$2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)^4=2(\cos\pi+i\sin\pi)=-2$

At second glance, I think the 2s in the last two numbers should also be getting raised to the 3rd and 4th powers:

$\left(2(\cos20^\circ+i\sin20^\circ)\right)^3=8\left(\cos60^\circ+i\sin60^\circ\right)=4+4\sqrt3$

$\left(2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)\right)^4=16(\cos\pi+i\sin\pi)=-16$

4 0

3 years ago

Max car holds 18 gallons of gasoline driving on the highway the car uses approximately 2 gallons per hour. let H represent the n

RSB [31]

Y= 18 gallons-2(h)
y is what you're trying to find out and since there are 18 gallons in the tank after every hour you would have 2 less gallons. So, you can multiply how many hours he's been driving by the 2 gallons and subtract it from 18

3 0

2 years ago

Why is -10+(-10)=0 wrong

kenny6666 [7]

Step-by-step explanation:

because because that would be subtracting positive 10 by -10. not adding -10 + -10 which would be 20

5 0

3 years ago

Read 2 more answers

In two hours Holden completed 3/4 of his race how long will it take Holden to complete the entire race?

vivado [14]

Answer:

$\frac{1}{4}$ = 50 Minutes

Whole Race Time : 2 Hour and 50 Minutes

Step-by-step explanation:

so 2 Hour = $\frac{3}{4}$ Race completed

we need to find what 1/4 Race = x Hours

so 200 divided by 4 because $\frac{3}{4}$ Race is done.

we need to find how long to finish the whole race also known as $\frac{4}{4}$ .

200 divided by 4 = 50

so Holden still need 50 Minutes to finish the race.

8 0

2 years ago

How do i identify the slope in a math question?​

How do i identify the slope in a math question?