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3 years ago

Determine the slope of the line that passes through the points (5, 2) and (-10, -8).

Mathematics

1 answer:

dsp733 years ago

3 0

Slope = y2-y1 / x2 - x1

= -8-2 / -10-5
= -10 / -15
= 2/3

A

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You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?

Mrrafil [7]

Step-by-step explanation:

that means we divide 2/3 by 4.

2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6

so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.

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2 years ago

I need help with Function Operations please

Alex787 [66]

Answer:

Step-by-step explanation:

The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...

$(f\circ g)(x)$

should be interpreted to mean ...

$f(g(x))$

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To evaluate f(g(6)), we first evaluate g(6):

g(6) = 6² -5 = 31

Then we evaluate the function f using that as its argument:

f(31) = 31 -1 = 30

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2 years ago

Rationalize the numerator or denominator, and simplify:

allochka39001 [22]

$\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots$
$=\dfrac{x+h-x}\cdots=\dfrac h\cdots$

The $h$ s then cancel, leaving you with the $\cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}$ term.

If it's not clear what I did above, consider the substitution $a=\sqrt[3]{x+h}$ and $b=\sqrt[3]x$ . Then

$a^3-b^3=(a-b)(a^2+ab+b^2)$
$\implies\dfrac{a-b}h=\dfrac{a-b}h\times\dfrac{a^2+ab+b^2}{a^2+ab+b^2}=\dfrac{a^3-b^3}{h(a^2+ab+b^2)}$

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3 years ago

Negative 2 multiply to blank equal negative fourteen

mel-nik [20]

Answer:

Step-by-step explanation:

-2 x _ = -14

2(7)=14

(-)x(-) = +

-2(7)=-14

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3 years ago

Solve the triangle.

vova2212 [387]

9514 1404 393

Answer:

b = 71 m

A = 83°

C = 29°

Step-by-step explanation:

Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.

Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.

b = √(a² +c² -2ac·cos(B))

b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48

b ≈ 70.82005 ≈ 71 . . . meters

One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.

sin(A)/a = sin(B)/b

A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°

A ≈ 83°

C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°

C ≈ 29°

Or, you can find the remaining angle from 180° -68° -83° = 29°.

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3 years ago