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2 years ago

Evaluate the expression

Mathematics

2 answers:

nadezda [96]2 years ago

8 0

Answer:

Step-by-step explanation:

We are given the expression:

$\frac{-8(13-37)}{6}$

and asked to evaluate the expression.

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve inside the parentheses first. Subtract 37 from 13.

⇒ 13-37= -24

$\frac{-8(-24 )}{6}$

Next, multiply -8 and -24.

⇒ -8*-24= 192

$\frac{192}{6}$

Finally. divide 192 by 6.

⇒ 192/6 = 32

$32$

When evaluated, the expression -8(13-37)/6 is equal to 32.

gtnhenbr [62]2 years ago

8 0

32, first solve what’s within the parentheses, then multiply then divide

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GaryK [48]

Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .

<u>What is the Dilation?</u>

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

The following are the properties of dilation of the triangle:

1)measures of the angles will not change

2)The sides of the image of the triangle are multiplied by the scale factor 2.

So,

A'B'=2AB

B'C'=2BC

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Since only the lengths increase by scale factor, B'C' on the same line as its corresponding side segment BC .

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1 year ago

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Ber [7]

Answer:

Step-by-step explanation:

Figure Interpretation:

m∠CBA + m∠CDE = 180

m∠BCA = (180-m∠CBA)/2

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=======================

Then

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Answer:

Step-by-step explanation:

Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.

Given that f(x) is 72 when the value of x is 6.

This implies, \[72 = k * 6\]

Simplifying and rearranging the equation to find the value of k:

k = \frac{72}{6}

Hence k = 12

Or, \[f(x) = 12 * x\]

When x = 3, \[f(x) = 12 *3 \]

Or in other words, the value of f(x) when x=3 is 36

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