Use the given figure at right and calculate the value of x

Mathematics

1 answer:

snow_lady [41]3 years ago

6 0

Hi there!

To figure out the value of x, we can use a proportion. Here's the proportion we'd use: 15/7 + x = 9/x. Next, we'll need to cross-multiply in order to get an equation that we are able to solve: 9(7 + x) = 15x. Then, we'll distribute the terms: 63 + 9x = 15x. Lastly, we'll subtract 9x from each side and divide to find the value of x: 6x = 63 | x = 10.5.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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densk [106]

Answer:

P(3 , 0)

Step-by-step explanation:

(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)

m : n = 3 : 1

$P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)$