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2 years ago

Is it possible to construct a triangle with side lengths of 35,120, and 125 units?

1 answer:

4 0

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

Read 2 more answers

Помогите математика !!!!!!

ohaa [14]

Answer:

sorry say nice its out of understand

4 0

3 years ago

Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga

sergiy2304 [10]

Answer:

14.02

Step-by-step explanation:

You'd have to write equations for the price per month for each club.

Let x equal the number of months of membership, and y equal the total cost.

Club A's is y = 24x + 21.50 and Club B's is y = 17.25 x + 41.00 Because we know that the prices, y , would be equal, we can set the two equations equal to each other.

24x + 21.50 =17.25 x+ 41.00

subtract 21.50 both sides

. We can now solve for x by isolating the variable.

24x=17.25x+19.5

divide 17.25x

1.39x=19.5

divide 1.39 both sides

x=14.02

After five months, the total cost would be the same.

4 0

3 years ago

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Basile [38]

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

7 0

3 years ago

What is 4 dogs with 12 legs

maxonik [38]

A dinosaur bc dinosaurs have lots of kegs

5 0

3 years ago