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3 years ago

Find the area of the triangle.

Mathematics

2 answers:

Butoxors [25]3 years ago

6 0

Answer:

Step-by-step explanation:

Sana po makatulog #carry on learning

Aneli [31]3 years ago

6 0

Answer:

Step-by-step explanation:

area of triangle is 1/2xbxh

so assuming 1/2x8x7

so it is 28 sq.ft

hope it helps you

please mark me as brainlist

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What is the solution to this system of equations?

Vika [28.1K]

Answer:

(-2,2)

Step-by-step explanation:

Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.

Hope this helps ^-^

5 0

3 years ago

Identify the standard form of the equation by completing the square.

OLEGan [10]

Answer:

$\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Step-by-step explanation:

<u>Given equation</u>:

$4x^2-9y^2-8x+36y-68=0$

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

$\implies 4x^2-8x-9y^2+36y=68$

Factor out the coefficient of the x² term and the y² term.

$\implies 4(x^2-2x)-9(y^2-4y)=68$

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

$\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2$

$\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36$

Factor the two perfect trinomials on the left side:

$\implies 4(x-1)^2-9(y-2)^2=36$

Divide both sides by the number of the right side so the right side equals 1:

$\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}$

Simplify:

$\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Therefore, this is the standard equation for a horizontal hyperbola with:

center = (1, 2)
vertices = (-2, 2) and (4, 2)
co-vertices = (1, 0) and (1, 4)
$\textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}$
$\textsf{Foci}: \quad (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)$

4 0

2 years ago

Help please I’ll Brainly

hammer [34]

Answer: Equation (y = 3x + 10)

Each time the number of triangles increase, the 3 also increases. For example: 2 Triangles = 3 + 3 and the 2 of the 5 remains the same no matter how many triangles there are.

Step-by-step explanation:

Let x = Number of triangles

Let y = Perimeter

Plug in formula: y = 3x + 10

y = 3 (2) + 10

y = 6 + 10

y = 16

5 0

3 years ago

Can someone simplify 201/30

Phantasy [73]

To simplify you need to find the gcf Greatest common factor which is 3
3x67=201 and 3x10=30
now divide 30 divided by 3=10 and 201 divided by 3=67
so the answer is 10/67

4 0

3 years ago

Many of the students at a school play sports: 17% of students play soccer, 23% play football, and 48% of the football players pl

serg [7]

Answer: .1104

Step-by-step explanation: edg 2021 said so

3 0

3 years ago