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2 years ago

The question is in the picture.

Mathematics

1 answer:

bogdanovich [222]2 years ago

3 0

Just download photomath bro, does everything for you.

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Find the values of the variables.

Jlenok [28]

Answer:

The fourth option - t = 3, y = 5

Step-by-step explanation:

-8 + t becomes -5, thus t is 3 since -8 + 3 = -5.

-12 becomes -2y - 2, so we can set these equal to each other as -2y - 2 = -12 and solve from there. Add 2 to both sides, -2y = -10, then divide by -2 on both sides, y = 5.

6 0

3 years ago

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Solve the system of equations and choose the correct answer from the list of

Leya [2.2K]

Answer:

x = -19/2 y = -33/2

Step-by-step explanation:

x - (3x + 12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 19

x = -19/2

x - y = 7

-19/2 - y = 7

-y = 33/2

y = -33/2

4 0

2 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

10 months ago

Solve the equation by completing the sqaure. if necessary round to the nearest hundreth x^2+4x=1

viktelen [127]

Answer:

x = ± √ 5 − 2

Step-by-step explanation:

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3 years ago

Your family travels 336 miles in 6 hours.find the unit rate

mamaluj [8]

Answer:

122 po yan po dapat

Step-by-step explanation:

thanks me letter

8 0

2 years ago

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