What is the relationship between ∠FBE and ∠CBD?

For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel

Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

$y=mx+b$

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

$5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2$

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

$3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3} \\\\y=\frac{a}{3}x-5\\\\$

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

$m_1=m_2$

we equation both the slope to each other to find the value of a like this,

$m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a$

so the value of a equals

a= -6/5

8 0

3 years ago

Victor drew trapezoid PQRS on a coordinate plane p(7,4) q(10,4) r(13,-1) s(8,-1) what is length in units of side ps

olga nikolaevna [1]

Answer:

PS= $\sqrt{26}units$

Step-by-step explanation:

Given : PQRS is a trapezoid on a coordinate plane P(7,4) Q(10,4) R(13,-1) S(8,-1).

To find:: Length of the side PS

Solution : Using the distance formula, we can find the length of the side PS, therefore

PS= $\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}$

PS= $\sqrt{(-1-4)^{2}+(8-7)^2 }$

PS= $\sqrt{(-5)^2+(1)^2}$

PS= $\sqrt{25+1}$

PS= $\sqrt{26}units$

which is the required length of the side PS.

5 0

3 years ago

You have torn a tendon and are facing surgery to repair it. the surgeon explains the risks to you: the probability of infection

skad [1K]

P(most favorable outcome) = 1 -(0.03 +0.16 -0.01) = 0.82

_____
"repair fails" includes the "infection and failure" case, as does "infection". By adding the probability of "repair fails" and "infection", we count the "infection and failure" case twice. So, we have to subtract the probability of "infection and failure" from the sum of "repaire fails" and "infection" in order to count each bad outcome only once.

The probability of a good outcome is the complement of the probability of a bad outcome.

5 0

3 years ago

Estimate the value of 102. ÷ 4.7

Maksim231197 [3]

Answer:

21.7

Step-by-step explanation:

divide

4 0

2 years ago

Mrs. Smith left a 15% tip for a dinner that cost $62.40. About how much tip did Mrs. Smith leave?

Veronika [31]

Given :- 

Mrs. Smith left a 15% tip for a dinner that cost $62.40.

To find :- 

About how much tip did Mrs. Smith leave?

Solution :- 

The tip is 15% of $62.40 .

• Calculating 15% of $62.40

$ 62.40 * 15%
$ 62.40 * 15/100
$ 9.36

4 0

3 years ago

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