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Svet_ta [14]
2 years ago
14

Julio says that 6, 7, and 12 will make a right triangle but Matt says they will definitely not. Prove who is correct and show an

example.
Mathematics
1 answer:
timama [110]2 years ago
7 0

Answer:

Step-by-step explanation:

Julio says that 6, 7, and 12 will make a right triangle but Matt says they will definitely not. Prove who is correct and show an example.

The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2​. While if a, b, and c are the sides of the triangle, then ​c2 = a2 + b2.

so if c² = a² + b²

12² = 6² + 7²

144 = 36 + 49

144 = 85

it is not a right triangle, so Matt is right

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I dont understand this, can i get some help please
Ray Of Light [21]

When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at x=1.

The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is (1,0).

For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is (0,1).

Using this information, the vertex-form equation of the parabola is y=1\cdot(x-1)^2+0, so the factors are two copies of x-1. In this case, the value of a in the equation y=a(x-h)^2+k was conveniently 1; if that's not the case, you'll want to plug in x=0 to solve for the value of a that gives the correct y-intercept.

Does that help clear things up?

3 0
3 years ago
Brainliest to correct!
OLEGan [10]

Answer:

A) (-infinity, -7]U[-2, -1]

B) [-7, -5]

C) [-5, -2]U[-1, infinity)

6 0
3 years ago
The price of 7 cell phones, 9 TV sets and 12 air-conditioners is
mezya [45]

here, 7 cellphone,9 Tv, 12airconditioners = 8723

5 cellphone,7 Tv, 12airconditioners = 6523

or, 7,9,12=8723

-5,7,9=6523

______________

2,2,3=2191

then,

to make 4 cellphone , 4 tv set , 6 air conditioners add twice the answer ,

2,2,3=2191

+2,2,3=2191

____________

4,4,6=4382

hence,

the price of 4 cellphone , 4 tv set and 6 air conditioners is 4382 #

solved by

<h3> pratik</h3>

6 0
3 years ago
Find the equation of the line that is perpendicular to y = 1/4x – 2 and passes though the point (5, –2). A) y = –1/4x + 18 B) y
Mashcka [7]

Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

7 0
3 years ago
Please help quick.
GREYUIT [131]

Answer:

The answer to your question is: third option is correct

Step-by-step explanation:

Data

F (5, -1)

directrix   y = 1

Then, after getting the graph, the vertix = (5, 0)

                                                        and p = 1

                 Formula

                              (x - h) ² = -4p(y - k)

                              (x - 5)² = -4(1)(y - 0)

                              (x - 5)² = -4y

                              y = (x - 5)² / -4

3 0
3 years ago
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