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3 years ago

Can an equilateral triangle ever be a right triangle too?

2 answers:

7 0

No, it never can be a right triangle.

First, all the angles of an equilateral triangle is 60 degrees because all angles are the same and all the angles add up to 180:

180/3 = 60.

So if it is a right angle it needs one angle 90 degrees which an equilateral triangle can't have,

Soloha48 [4]3 years ago

4 0

No, because a equilateral triangle has all even sides and a right triangle has no equal sides. There for a equilateral triangle can not be equal to a right triangle.

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Find the vertex of the graph of f(x)=-4(x-1)(x+5)

madreJ [45]

The vertex of the graph is (h, k) = (- 2, 36).

<h3>How to find analytically the vertex of a quadratic equation</h3>

In this question we have a quadratic equation of the form f(x) = a · (x - r₁) · (x - r₂) and we need to transform the expression into its vertex form of determine the coordinates of the vertex. First, we need to exprand the expression:

f(x) = - 4 · (x - 1) · (x + 5)

f(x) = - 4 · (x² + 4 · x - 5)

f(x) = - 4 · x² - 16 · x + 20

Now we proceed to complete the square:

f(x) = - (4 · x² + 16 · x - 20)

- f(x) = 4 · x² + 16 · x - 20

- f(x) = (2 · x)² + 8 · (2 · x) - 20

- f(x) + 36 = (2 · x)² + 8 · (2 · x) + 16

- f(x) + 36 = (2 · x + 4)²

- f(x) + 36 = 4 · (x + 2)²

f(x) - 36 = - 4 · (x + 2)²

The vertex of the graph is (h, k) = (- 2, 36).

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

7 0

1 year ago

36 out of 60 percentage

Leya [2.2K]

Answer:

the answer is 60%

Step-by-step explanation:

36/60=3/5

3/5= 0.6

0.6 x 100=60%

3 0

2 years ago

Diameter of a circle is something the length of its radius

Ede4ka [16]

the radius is half of the diameter, so d = 2r , or double the radius :)

3 0

2 years ago

An equilateral triangle has an altitude of 21 inches. What is the side

VladimirAG [237]

Answer:

7 $\sqrt{3}$

Step-by-step explanation:

the altitude creates two congruent 30-60-90° triangles

the ratio of the sides in a 30-60-90°, respectively, are 1 : $\sqrt{3}$ : 2

therefore we can set up a proportion to find the side length:

let 'x' = side length of equilateral Δ

$\sqrt{3}$ / 1 = 21 / x

cross-multiply:

$\sqrt{3}$ x = 21

x = 21 / $\sqrt{3}$

rationalize the denominator by multiplying numerator and denominator by $\sqrt{3}$

21 $\sqrt{3}$ / $\sqrt{3}$ · $\sqrt{3}$ = 21 $\sqrt{3}$ / 3 or 7 $\sqrt{3}$

5 0

3 years ago

3/4 j = 6 <br><br> Please explain in full detail to get a brainiest!<br> Step by Step

Finger [1]

Answer:

J = 8

Step-by-step explanation:

multiply both sides of the equation by 4/3 = 4/3 × 3/4j = 4/3 × 6

Reduce the numbers with the greatest common factor 4 = 1/3 × 3j = 4/3 × 6

j = 4/3 × 6

j = 4 × 2

Multiply the numbers = j = 4 × 2

j = 8

8 0

2 years ago