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Butoxors [25]
3 years ago
9

Simplify: 3x[(2x6-5) + (8\4)] -1 ••••••• The \ means divide

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0
3 × [(2 × 6 - 5) + (8/4)] - 1
= 3 × [(12 - 5) + 2] - 1
= 3 × (7 + 2) - 1
= 3 × 9 - 1
= 27 - 1
= <u>26</u>

<u><em>USE PEMDAS:</em></u>
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction
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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
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Answer:

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Step-by-step explanation:

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equation

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6 0
3 years ago
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How to find the least common denominator of 3 fractions?
Lina20 [59]

Answer:

  Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

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<u>Example:</u>

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The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

  (105·45)/15 = 315

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Using factoring ...

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LCD = 3²·5·7 = 315

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By the looks of this the answer is E

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