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3 years ago

Please help me. I’ll give brainliest

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer:

the value of x=

2×-12= -24

the value of y is 3y plus 20 which equals to 23

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The base of a trinagle is increased by 20% and it’s height is increased by 30%. By what percent is the area of the triangle incr

Molodets [167]

Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y

Area of a triangle is base times height divided by 2:

1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy

But a normal area would be 50% of xy

78% - 50% = 38%

ANSWER: 38% increase

4 0

3 years ago

What is the area of a triangle with vertices (1,0) (5,0) (3,4)

Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ is given by the determinant of the following matrix:

$A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|$

In this question:

Vertices (1,0) (5,0) (3,4). So

$A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|$

$A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)$

$A = \pm 0.5*(20-4)$

$A = \pm 0.5*16 = 8$

The area of the triangle is of 8 units of area.

3 0

3 years ago

some students at a high school created a new school flag in the shape of an isosceles triangle points X and Y are located so tha

djyliett [7]

Answer:

180/7

Step-by-step explanation:

Comment if you want it, but it's very long.

3 0

3 years ago

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

PtichkaEL [24]

Answer:

aₙ = 3n - 6

Step-by-step explanation:

Given sequence:

−3, 0,3,6,9,...

This is AP with:

The first tern a₁ = - 3
Common difference d = 3

The rule for the nth term of the sequence is:

aₙ = a₁ + (n - 1)d

Substitute values:

aₙ = -3 + (n - 1)(3) =
-3 + 3n - 3 =
3n - 6

3 0

3 years ago

A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di

Marizza181 [45]

Answer:

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

$G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)]$ (1)

Where:

$G(x,y)$ - Coordinates of the point G, dimensionless.

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$G'(x,y)$ - Coordinates of the point G', dimensionless.

If we know that $O(x,y) = (0,0)$ , $G(x,y) =(2,-2)$ and $G'(x,y) =(5,-5)$ , then scale factor is:

$(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]$

$(5,-5) = (2\cdot k, -2\cdot k)$

$k = \frac{5}{2}$

The dilation on any point of the rectangle is:

$P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]$

$P'(x,y) = \frac{5}{2}\cdot P(x,y)$ (2)

The dilation on any point of the rectangle is $P'(x,y) = \frac{5}{2}\cdot P(x,y)$ .

5 0

3 years ago