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olga_2 [115]
3 years ago
8

Consider the line y=10 x -1 and the point P=(2,0). (a) Write the formula for a function d(x) that describes the distance between

the point P and a point (x,y) on the line. You final answer should only involve the variable x. Then d(x) =
Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer:

the formula for a function d(x) that describes the distance is d(x)=\sqrt{101x^{2}-24x+5}

Step-by-step explanation:

We are going to define final point P_{f}=(2,0), and initial point P_{i}=(x,y)=(x,10x-1), then we can use d=\sqrt{(x_{f}-x_{i})^{2}+(y_{f}-y_{i})^{2}}, so we obtain d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}, by developing it d(x)=\sqrt{(2-x)^{2}+(0-(10x-1))^{2}}\\d(x)=\sqrt{4-4x+x^{2}+(1-10x)^{2}}\\d(x)=\sqrt{4-4x+x^{2}+1-20x+100x^{2}}\\d(x)=\sqrt{101x^{2}-24x+5}\\

This formula describes the distance between those two points and involves x

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2 years ago
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Tina is making a scale model of A monument that is 155 feet tall she uses a scale of 1 inch = 5 feet how tall should Tina make h
fenix001 [56]

Tina should make 31 inch tall model to replicate 155 feet tall monument.

Step-by-step explanation:

This problem can be solved by direct unitary methods easily-

Firstly, Scale is the ratio of the dimension of the original substance to the dimension of a model

Scale= original dimension/ model dimension

Model is the miniaturised representation of a substance.

The monument is 155 feet tall

Tina replicates it with a scale 1inch: 5 feet

Thus, this means that Tina would need 155*1/5 = 31 inch tall model to replicate the complete length of the monument.

Hence Tina needs to make 31-inch tall model.

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2 years ago
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At George Washington High School the ratio of graduating seniors that go on to college, as compared to those who do not, is 7 :
wariber [46]
The solution to the problem is as follows:

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Therefore, the size of the graduating class would be 44 students in all.

I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
grace scored 17 ot of 20 on her reading quiz and 20 out of 25 on her science quiz. on which quiz did grace score a higher percen
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8 0
3 years ago
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The vertex of this parabola is at (3,-2). when the x-value is 4, the y-value is 3. whatis the coefficient of the squared express
zubka84 [21]

Answer:

<em>The coefficient of the squared expression in the parabolas equation will be 5.</em>

Step-by-step explanation:

<u>The vertex form of parabola</u> is:  y=a(x-h)^2 +k , where (h,k) is the vertex point and a is the coefficient of x^2 term.

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Thus, the coefficient of the squared expression in the parabolas equation will be 5.

5 0
3 years ago
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