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ira [324]
3 years ago
12

4x + 3 = x + 2(x + 7) x=

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

X= -11/4 + -1/4 √145 or X= -11/4 + 1/4 √145

Step-by-step explanation:

Hope this helped<3

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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
Mr. Osmond bought a computer that cost $2,500. How much did he pay for the computer if the sales tax rate was 7%?
Oduvanchick [21]

Answer:

$2,675

Step-by-step explanation:


7 0
3 years ago
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How many cups of raisins will Gina need to make 32 servings of trail mix
kotegsom [21]
16 pints because 1 pint equals 2 cups each so multiply 16 x 2 which equals 32
8 0
3 years ago
Write a division problem whose quotient has first digit in the hundreds place
AysviL [449]
OK.

Divide 1,000 by 10.
7 0
3 years ago
Solve using the substitution method:<br><br> 6x + y =15<br> 4x + 3y = 31
Ksivusya [100]

Answer:

the answers to this are x= 1 and y= 9

3 0
2 years ago
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