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3 years ago

Give an algebraic representation of these datax|y1|14|77|1310|19

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

y = 2x - 1

Step-by-step explanation:

Slope

for every increase of 3 in x

there's an increase of 6 in y

m = rise/run

m = 6/3

m = 2

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

Slope intercept form is

y = mx + b

To find "b" plug in m = 2 and any of the given points

using (1, 1)

1 = 2(1) + b

1 = 2 + b

b = -1

The equation is

y = 2x - 1

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Solve for y<br> (y-k)h=c

Shalnov [3]

Answer:

y=(x+kh)1/h

Step-by-step explanation:

(y-k)h=c

hy-kh=c

hy=x+kh

y=(x+kh)1/h

4 0

3 years ago

In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not

Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

$\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}$

Furthermore,

$PS=PR-RS$

Finding PR and RS,

$\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}$

Then,

$\frac{12}{PR}=\frac{TS}{15}$ $\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}$

Solving for PS,

$\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}$

Solve the quadratic equation in terms of PS, as shown below

$\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}$

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0

1 year ago

Explain how to use the unit rate to make a table

xxTIMURxx [149]

Answer:

to make a unit rate using a table you would take an input/output from a table and convert it into a fraction. Then you would take that fraction and simplify it. Sometimes you might have to choose a new input/output in order to make the simplification easier.

Example-

2:4

4:8

6:12

8:16

Turn one into a fraction

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Simplify

1/2

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3 years ago

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1) Point A will be at (-4,4)
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3 years ago

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MA_775_DIABLO [31]

Answer:

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Step-by-step explanation:

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3 years ago

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Give an algebraic representation of these datax|y1|14|77|1310|19​

Give an algebraic representation of these datax|y1|14|77|1310|19