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3 years ago

What is the equation of a line with slope of 3 and a y-intercept of 12?

Mathematics

1 answer:

Wewaii [24]3 years ago

3 0

Answer:

y=3x+12

Step-by-step explanation:

The slope intercept form of the equation is y=mx+b where m is the slope and b is the y-intercept. This means b=12 and m=3.

y=3x+12

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lana66690 [7]

Find a common denominator that 8 and 3 can go into.. which is 24
5/8 = 1/3
15/24 - 8/24
7/24

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3 years ago

So I’m doing my homework and I don’t know 3 2/3 + 5/4

vivado [14]

Answer:

4 11/12

Step-by-step explanation:

4 x 2/3 = 8/12

3 x 5/4 = 15/ 12

8/12 + 15/12 = 23/12 = 1 11/12 + 3 = 4 11/12

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3 years ago

If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m

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3 years ago

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.

$y=0.2(x),y=0.2(10)=5\ miles$

Now as in $t=0$ the bird has started from y-intercept value $3$ so we can say that,the original distance of the bird from its nest is $3\ miles$ .

So the correct choices are: $B$ and $D$

The birds speed is $0.2\ miles$ per minute and is $3\ miles$ away from its nest.

7 0

3 years ago

Solve for x I need help on this question

AlexFokin [52]

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

3 0

2 years ago