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3 years ago

Multiple choice can someone please answer please

Mathematics

1 answer:

Furkat [3]3 years ago

5 0

Answer:

n = 6

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

$\frac{GH}{QR}$ = $\frac{FH}{PR}$ , substitute values

$\frac{n}{9}$ = $\frac{4}{6}$ ( cross- multiply )

6n = 36 ( divide both sides by 6 )

n = 6

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otez555 [7]

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3 years ago

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Misha Larkins [42]

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3 years ago

Write each expression in simplest form. (√y-√3)(√y+2√3)

Vladimir79 [104]

We write the expression in its simplest form and we are left with.

y²√3 + y - 6

Before proceeding let's define an algebraic expression.

<h3>Algebraic expression</h3>

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

The first thing we will do is to write the expression:

(√y-√3)(√y+2√3)

Then we perform the multiplication, with the distributive property, which gives as a result

(y + 2√3y - √3y - 6)

y²√3 + y - 6

Learn more about algebraic expression in:

brainly.com/question/21856579

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1 year ago

What is the prime factorization of 97?

Elina [12.6K]

Answer:

97 is a prime number.

Prime[25] = 97

7 0

3 years ago

The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

SCORPION-xisa [38]

Answer:

Perimeter of rectangle is 23.34

Step-by-step explanation:

The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

What is the perimeter of the rectangle?

The formula to find perimeter of rectangle is: $Perimeter=2(l+w)$

We need to find length and width first using the coordinates (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

Let A=(-4, 3) B=(-1, 5) C=(3, – 1) and D=(0, – 3) according to the figure attached.

So, If we find distance of point AB it can be considered length of rectangle and distance of point AC can be considered width of rectangle

The formula used to find distance is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Finding distance AB, we have $x_1=-4, y_1=3, x_2=-1, y_2=5$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-1-(-4))^2+(5-3)^2}\\Distance=\sqrt{(-1+4)^2+(5-3)^2}\\Distance=\sqrt{(3)^2+(2)^2}\\Distance=\sqrt{9+4}\\Distance=\sqrt{13}\\Distance=3.61$

So distance between point A and B is 3.61

Finding distance AC, we have $x_1=-4, y_1=3, x_2=3, y_2=-1$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-4))^2+(-1-3)^2}\\Distance=\sqrt{(3+4)^2+(-1-3)^2} \\Distance=\sqrt{(7)^2+(-4)^2} \\Distance=\sqrt{49+16} \\Distance=\sqrt{65}\\Distance=8.06$

So, distance between point A and C is 8.06

We have length = 3.61 and width = 8.06

Using formula of perimeter

$Perimeter=2(l+w)\\Perimeter=2(3.61+8.06)\\Perimeter=2(11.67)\\Perimeter=23.34$

So, Perimeter of rectangle is 23.34

6 0

3 years ago