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3 years ago

Is Triangle ABC a right triangle? Why or why not?

Mathematics

2 answers:

Inessa [10]3 years ago

7 0

D. Yes, Triangle ABC is a right triangle by the Pythagorean theorem.

vfiekz [6]3 years ago

5 0

Answer:

Option B

Step-by-step explanation:

If triangle ABC is a right angle triangle then it should follow the Pythagoras theorem.

Hypotenuse² = base² + height²

So base² + height² = 10² + 14²

= 100 + 196

= 296

So Hypotenuse² = 296

Hypotenuse = √296

= $\sqrt[2]{74}$

Therefore, Option B will be the answer.

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Given the graph, find an equation for the parabola.

Sauron [17]

Answer:

$\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

$y=a(x-h)^2+k$

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus is (3,2) so we can say.

$2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}$

So an equation for the parabola is.

$\large \boxed{\sf y=\dfrac{1}{16}(a-3)^2-2 }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

Choose the correct number sentence that shows how many boys are in the fourth grade?

Tatiana [17]

Answer:

OPTION C

Step-by-step explanation:

78-39=39

so: 39+39=78 (b=39)

so: 39+b= 78

6 0

3 years ago

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There are 12 girls and 18 boys in a class what is the largest number of groups they can be split into and have the same number o

leonid [27]

6 bc there would be 2 girls and 3 boys on each team

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3 years ago

A card is drawn from an ordinary deck of cards. What is the probability that

harina [27]

Answer:

5/52

Step-by-step explanation:

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3 years ago

Convert km into cm<br> 10 points available

tekilochka [14]

1 kilometre = 100000 centimetres

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2 years ago

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