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Karolina [17]
2 years ago
5

Help please!!! I really don’t know how to do this!

Mathematics
1 answer:
AysviL [449]2 years ago
5 0

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

-1 - (-4) / -1 - (-2)

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

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What is the average speed of a biker if she biked 4 1/4 of a mile in 25 minutes?
nata0808 [166]

Answer:

Step-by-step explanation:

What is the average speed of a biker if she biked 4 1/4 of a mile in 25 minutes?

-----------------

rate = distance/time

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rate = (17/4)/(25/60) = (17/4)(60/25) = (17*3/5) = 51/5 = 10.2 mph

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5 0
3 years ago
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Given that f(x) = x2 – 3x - 10 and g(x) = x – 5, find (f - g)(x) and express
Roman55 [17]

Answer:

(f-g)(x)= x^2-4x-5

Step-by-step explanation:

We have the two functions:

f(x)=x^2-3x-10\text{ and } g(x)=x-5

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}

Simplify:

\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}

Therefore:

(f-g)(x)= x^2-4x-5

8 0
2 years ago
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Find the value of y.​
Bess [88]

Answer:

=6√3 the third option.

Step-by-step explanation:

We can use the Pythagoras theorem to find the value of y. We need two equations that include y.

a²+b²=c²

c=9+3=12

x²+y²=12²

x²=144 - y².........i (This is the first equation)

We can also express it in another way but let us find the perpendicular dropped to c.

perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.

y²=(x²-9)+9²

y²=x²+72

x²=y²-72....ii( this is the second equation

Let us equate the two.

y²-72=144-y²

2y²=144+72

2y²=216

y²=108

y=√108

In Surd form √108=√(36×3)=6√3

y=6√3

8 0
3 years ago
What is the volume of a rectangular prism with the dimensions: base 3 1 4 cm, height 2 1 2 cm, and length 4 1 2 cm?
Doss [256]

Answer:

is b

Step-by-step explanation:

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Mr. fudge is going to roll two fair dice. what is the probability that the sum will be 4 or less?
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