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Sedaia [141]
3 years ago
9

Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

Mathematics
1 answer:
MissTica3 years ago
7 0
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{1 - (-4)}{5 - 3} = \frac{1 + 4}{2} = \frac{5}{2} = 2\frac{1}{2} \\\\y - y_{1} = m(x - x_{1}) \\y - (-4) = 2\frac{1}{2}(x - 3) \\y + 4 = 2\frac{1}{2}(x) - 2\frac{1}{2}(3) \\y + 4 = 2\frac{1}{2}x - 7\frac{1}{2} \\y = 2\frac{1}{2}x - 11\frac{1}{2}
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A 34-foot pole casts a 30-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree?
artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

/30  /30

1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

1.13 : 1

x24  x24

27.2 : 24

Therefore, the tree is 27.2 feet tall.

7 0
3 years ago
HAVE A FREE 100 POINTS! PASS ON THE FUN AND KINDNESS SOMEDAY!
fredd [130]

Answer:

Ty :)

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
90 is 1/10 of what number
jeyben [28]
The answer is 900
900/90=10. Therefore 90/900=1/10
5 0
3 years ago
Read 2 more answers
A meteorologist measures the angle of elevation of a weather balloon is 41 degrees. A radio signal from the balloon indicates th
I am Lyosha [343]
You can draw a diagram of the situation, representing it by a right triuangle.

In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

The opposed leg to 41° is the height of the ballon.

Then you can use the sine trigonometric function.

sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)

=> x = 986m.

Answer: 986m
4 0
3 years ago
Mo spends £15 on ingredients to make 40 cookies.
ahrayia [7]

Given :

Mo spends £15 on ingredients to make 40 cookies.

He sells all 40 cookies for 50p each.

To Find :

The Mo's percentage profit.

Solution :

We know, 1 £ = 66.09 p.

So, total income is :

T = 40 × 50 p

T = 2000 p

T = £2000/66.09  

T = £30.26

So, total profit is, P = £( 30.26 - 15 ) = £15.26 .

Hence, this is the required solution.

8 0
2 years ago
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