Help please!!! Write an equation that represents the line. Use exact numbers.

Mathematics

2 answers:

AleksAgata [21]1 year ago

5 0

Y=1x-5 is an equation i think

Vedmedyk [2.9K]1 year ago

3 0

Y= 6/5x -5
The slope is increasing the number will be positive and since it goes up six and over five that would be the fraction of the slope and 5 is the point on line Y

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If m varies directly as v² and m =3, when v=2, calculate the value of m when v=9

KonstantinChe [14]

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

y=kx²

where 'k' is the constant of variation.

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

= 3/(2)²

=3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

=3/4 × 81

=243/4

Therefore, m=243/4 when v=9.

5 0

2 years ago

Tomb trees are standing side-by-side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree cast a

8090 [49]

Answer: Length of shorter tree = 7.2 feet .

Step-by-step explanation:

Given : Height of two trees as 50 feet and 20 feet.

At same time the angle made by sun rays would be same for both trees.

Both trees are vertical to the ground making right angle so triangles made by both triangles must be similar.

Corresponding sides of similar triangles are proportional.

So $\dfrac{\text{length of the shadow of the shorter tree}}{\text{height of shorter tree}}=\dfrac{\text{length of the shadow of the bigger tree}}{\text{height of bigger tree}}\\\\=\dfrac{\text{length of the shadow of the shorter tree}}{20}=\dfrac{18}{50}\\\\\Rightarrow\ \text{length of the shadow of the shorter tree}=\dfrac{18}{50}\times20\\\\\Rightarrow\ \text{length of the shadow of the shorter tree} = 7.2$