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suter [353]
3 years ago
11

Order of operations

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

ANSWER

129

EXPLANATION

The given expression is:

4^2×2^3- (14-16)÷2

Deal with the parenthesis first.

4^2×2^3- ( - 2)÷2

4^2×2^3 + 2÷2

Deal with exponents,

16×8+ 2÷2

Divide now

16×8 + 1

Multiply

128 + 1

You can now add to get

129

The order of operations is PEDMAS

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512= 500

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The sum of the number times 3 and 15​
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Draw a number line to show the product of 1/3 and 3/4
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Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

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

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

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Which statement describes the translation from the graph y=|x| to the graph y=|x+3|-4?
Pavel [41]

Answer:

B) shift 3 units left and 4 units down

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