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3 years ago

What is the slope of the line? (2,4) and (0,-1)

Mathematics

1 answer:

deff fn [24]3 years ago

3 0

Use slope-intercept form
$\frac{4 - (-1) }{2-0}$
$\frac{5}{2}$

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One angle of a right triangle measures 65°. What is the measure of the other acute angle?

kvasek [131]

answer:

25°

explanation:

triangle total: 180°

right angle: 90°

90 + 65 = 155

180 - 155 = 25

hope this helped!

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3 years ago

A line has a zero slope and passes through the point (4,-9). What is the equation of the line?

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jeka57 [31]

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3 years ago

Evaluate the cosine if the angle of rotation which contains the point (9, -3) on its terminal side

Liono4ka [1.6K]

so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

$\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill$

$\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}$

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3 years ago

Priya has a recipe for banana bread. She uses 7/1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same r

wlad13 [49]

Answer:

5b=2f

Step-by-step explanation:

Priya uses $7\dfrac{1}{2}$ cups of floor to make 3 loaves of banana bread.

Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.

To find the relation between b and f, the steps are as follows :

$\dfrac{\text{cups of flour}}{\text{loaves of banana bread}}=\dfrac{7 \dfrac{1}{2}}{3}\\\\=\dfrac{\dfrac{15}{2}}{3}\\\\=\dfrac{15}{2}\times \dfrac{1}{3}\\\\=\dfrac{5}{2}$

It means,

$\dfrac{f}{b}=\dfrac{5}{2}\\\\5b=2f$

So, the relationship between b and f is "5b=2f".

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3 years ago

Read 2 more answers