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4 years ago

Please help! Find the length of segment AB to the nearest hundredth.

Mathematics

1 answer:

Lena [83]4 years ago

5 0

Answer:

Step-by-step explanation:

AB = √(x₂-x₁)² + (y₂-y₁)²

=√(-3-4)² + (2-5)²

=√(-7)² + (-3)²

=√49+9 = √58 = 7.62

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If f(x) = x + 2 and g(x) = 3х - 4, which is f(g(x))?

JulsSmile [24]

Answer:

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Step-by-step explanation:

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3 years ago

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2

andrezito [222]

Answer:

$3x+2y=315\\\\2x+4y=450$

is the system of equations representing the situation.

Step-by-step explanation:

Given:

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.

Now, to find the system of equations representing the situation.

Let the number of haircuts be $x.$

Let the number of hair dyes be $y.$

So, Alexandra can give 3 haircuts and 2 hair dyes in:

$3x+2y=315.$

Now, giving 2 haircuts and 4 hair dyes in:

$2x+4y=450.$

Therefore,

$3x+2y=315\\\\2x+4y=450$

is the system of equations representing the situation.

3 0

3 years ago

On a particular day, the wind added 5 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 5 miles

Nata [24]

now, this is pretty much the same as the one before it with Jaime, so I'll do this without much fuss.

recall d = rt.

a = Alfonso's rate

with the wind his speed is a + 5, against it is a - 5, 60 miles with it and 30 miles against it, all in the same time of t hours.

$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{with the wind}&60&a+5&t\\ \textit{against the wind}&30&a-4&t \end{array} \\\\\\ \begin{cases} 60=(a+5)t\implies \frac{60}{a+5}=\boxed{t}\\\\ 30=(a-4)t\\ -------------\\ 30=(a-4)\left( \boxed{\frac{60}{a+5}} \right) \end{cases} \\\\\\ 30(a+5)=(a-4)60\implies 30a+150=60a-240 \\\\\\ 390=30a\implies \cfrac{390}{30}=a\implies 13=a$

8 0

3 years ago

Which is not a proper name for the angle marked with an arc?

REY [17]

All of the statements are right or proper so D is right

6 0

4 years ago

The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and th

adelina 88 [10]

Answer:

GH = 5, HI = 6, GI ≈ 7.81

m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°

Step-by-step explanation:

4 0

3 years ago