All categories

2 years ago

What is the value of m in the equation 1/2m - 3/4n = 16 ,

Mathematics

1 answer:

amid [387]2 years ago

7 0

m = 32 & n = 0

____________

You might be interested in

-x^2=-36 I need help

Gennadij [26K]

You need to first make everything positive:
x^2=36
Then you need to get the square root of each side:
x=6 or -6

Hope this helps :)

4 0

3 years ago

Help me it’s not D !!!!

jenyasd209 [6]

The answer to this is A.

8 0

3 years ago

What is the image of (-9,-5) after a dilation by a scale factor of 5 centered at the origin?

Novosadov [1.4K]

Answer:

$(-45,-25)$

Step-by-step explanation:

$-9 * 5 = -45-5 * 5 = -25(-45,-25)$

6 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

1 year ago

11. Evaluate: f(x) = x^2 - 2x + 1,

svetlana [45]

Answer:

Step-by-step explanation:

6 0

3 years ago