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3 years ago

Using Quadratic Equations to Solve Problems:

Mathematics

1 answer:

satela [25.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

10x² = 40x

x = 4 . . . . . . . divide by 10x

the number is 4. Hope that helps love!

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On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negativ

oksian1 [2.3K]

The corresponding height of the triangle is 1.6 units

The formula for calculating the area of a triangle is expressed as:

$A=\frac{1}{2} bh$

b is the base of the triangle

h is the height of the triangle

Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units$

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:

$A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\$

Substituting the coordinate points:

$A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2$

Recall that:

$A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units$

Hence the corresponding height of the triangle is 1.6 units

Learn more on area of triangles here: brainly.com/question/17335144

8 0

2 years ago

What is the value 7?

xeze [42]

Answer:

are u asking the absolute value ??? if so.. |7|

Step-by-step explanation:

3 0

3 years ago

The coordinates of triangle ABC are A(−4, 3), B(2, 3), and C(4, −1). A line segment runs through the triangle with endpoints Y(0

-BARSIC- [3]

We can say that the length of line segment Y'Z' will increase by a scale factor of 2.

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3 years ago

Elias and Niko are polishing the silver at the heritage museum. Elias could polish all the silver himselfin 40 minutes. That tas

Verizon [17]

Ummmmmmmmm i'd say its D

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2 years ago

Please help with the question above????

MaRussiya [10]

Step-by-step explanation:

this the answer.............. ...........

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2 years ago