3 years ago

What is the slope and y-intercept of the equation y=3x - 9.

Mathematics

1 answer:

Xelga [282]3 years ago

5 0

Answer:

the slope is 3 and the y-intercept is y=-9

Step-by-step explanation:

the slope is always to the left of the x and the number on the end is the y-intercept

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On a map, the scale shown is 1 inch: 20 miles. If a city is 900 square miles, what is the area of the city on the map?

WITCHER [35]

Answer:

2.25 square inches

Step-by-step explanation:

we know that

The scale is $1\ inch: 20\ miles$

That means

1 inch on a map represent 20 miles in the city

An area of $(1)(1)=1\ in^2$ on a map represent an area of $(20)(20)=400\ mi^2$ in the city

Applying proportion

$\frac{1}{400}\ \frac{in^2}{mi^2}=\frac{x}{900}\ \frac{in^2}{mi^2}\\\\x=900/400\\\\x=2.25\ in^2$

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3 years ago

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Ivan

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Determine the angle at the centre of a circle with radius 12.0 cm for an arc length of of 21.0 cm.

nata0808 [166]

Answer:

$\theta=\dfrac{7}{4}\ \text{radian}$

Step-by-step explanation:

We have,

Radius of the circle is 12 cm

Arc length, l = 21 cm

It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :

$l=r\times \theta$

$\theta$ is central angle

$\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}$

So, the angle at the centre of the circle is $\dfrac{7}{4}\ \text{radian}$ .

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3 years ago

Amanda made $276 for 12 hours of work, At the same rate, how many hours would she have to work to make $115

Anit [1.1K]

Answer:

5 hours

Step-by-step explanation:

276/12= 23

115/23= 5

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3 years ago

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