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2 years ago

Hello can anyone help me with this question please and thank you

Mathematics

1 answer:

Basile [38]2 years ago

6 0

Answer:

(x-17)+(7x+5)=180

8x-12=180

8x=192

x=24

Step-by-step explanation:

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Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

kvv77 [185]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
&P&(~ -1 &,& -\frac{12}{5}~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AP=\sqrt{[-1-(-3)]^2+[-\frac{12}{5}-(-4)]^2}
\\\\\\
AP=\sqrt{(-1+3)^2+(-\frac{12}{5}+4)^2}\implies AP=\sqrt{2^2+\left( \frac{8}{5} \right)^2}
\\\\\\
AP=\sqrt{4+\frac{64}{25}}\implies AP=\sqrt{\cfrac{164}{25}}\implies AP=\cfrac{\sqrt{164}}{\sqrt{25}}
\\\\\\
\boxed{AP=\cfrac{2\sqrt{41}}{5}}$

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
PB=\sqrt{[2-(-1)]^2+[0-\left(-\frac{12}{5} \right)]^2}
\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
PB=\cfrac{\sqrt{369}}{\sqrt{25}}\implies \boxed{PB=\cfrac{3\sqrt{41}}{5}}$

so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

7 0

2 years ago

Light bulbs usually cost 2$. They are on sale for 0.50 of the regular price. What is the sale price? Is this a better price than

Vinil7 [7]

Answer:

The sale price is $1

$1 is not a better price since there is a cheaper price of $0.7

Step-by-step explanation:

Original price is $2

The price now is 0.5 × $2 = $1

If the sale price was 0.35 of the original price;

It would be 0.35 × $2 = $0.7

$1 is not a better price since there is a cheaper price of $0.7

4 0

2 years ago

Function g is a transformation of function f.

bulgar [2K]

The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given:

genera form of an exponential function is y=aeᵇˣ

Now, equation for f(x) is

f(x) = $e^{(log \;2)x} -2$

Similarly, graph for g(x) is

g(x) = $-3e^{(log \;2)x} +6$

Comparing the two function a relation can be establish

g(x) = -3[f(x)]

Learn more about Equation here:

brainly.com/question/2263981

#SPJ1

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1 year ago

What is the area of this rectangle?

Oksanka [162]

The area is 18 units squared, I believe.

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3 years ago

Write a compound interest function to model each situation. Then find the balance after the given number of years.

Reika [66]

Answer:

Step-by-step explanation:

7 0

2 years ago