At what point do the graphs of the equation 9x-2y=30 and x+2y=10 intersect?

I Need The Answer Plz!!! Geometry Is Hard!!

prohojiy [21]

Answer:

12√5

Step-by-step explanation:

According to the attached sketch, there are 2 triangles which we need to focus on, triangle A (in yellow) and triangle B (In red).

If you look at triangle A, we notice that X is the hypotenuse of triangle A. This means that X must be the largest length in triangle A, hence we can say that x must be greater than 24 (or 24 < x)

Now look at triangle B, in this case, they hypotenuse is 30 and x is the length of one of the sides. This means that x must be shorter than the hypotenuse (i.e x < 30)

from the 2 paragraphs above, we can see now that we can assemble an inequality in x

24 < x < 30

If we look at the choices, we can immediately ignore 33 because x must be less than 30,

working out the choices, we find that the only choice which falls into the range 24<x<30 is the 2nd choice 12√5 (= 26.83) (which is the answer)

The last 2 choices give values smaller than 24 and are hence cannot be the answer

8 0

2 years ago

B^2-5b+3 for b=-3 plz help

nika2105 [10]

Hey there!

b^2 - 5b + 3

= -3^2 - 5(-3) + 3

= -9 - (-15) + 3

= -9 + 15 + 3

= 6 + 3

= 9

Answer: 9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3 0

2 years ago

How can I solve this Inequality ?

musickatia [10]

Add 12 to both sides.

q-12 > 3
q > 15

ANSWER: q > 15

4 0

2 years ago

What is the square inches?

otez555 [7]

Answer:

given :-

for rectangular part: length=12in, breadth=8in

for triangular part:base=8in, height=3in

area of the given fig:

area of the given fig:area of 2 triangles +area of rectangle 

 $→2( \frac{1}{2} \times b \times h) + l \times b \\ →2( \frac{1}{2} \times 8 \times 3) + 12 \times 8 \\ →24 + 96 \\ → {120in}^{2}$ 

<h2>hope it helps you<3</h2>

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5 0

1 year ago

a middle school is made up of grades 6,7, and 8, and has about the same number of male and female students in each grade. Explai

Inessa [10]

I don't really understand what it's asking
,but I think it wants me to see if it's correct or not

I think this is fully incorrect because there has to be one girl out of those 50 people and I also think that there are gonna be 5th and 6th graders in those 50 people too!

7 0

2 years ago