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SOVA2 [1]
3 years ago
5

A - 6 < 15 + 8a need help fast​

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Hello, and welcome to Brainly!

To answer this question, you must first isolate the given variable, a. Treat the < sign as an equal sign, in that what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 8a and add 6 to both side inequality.

a (-8a) - 6 (+6) < 15 (+6) + 8a (-8a)

a - 8a < 15 + 6

-7a < 21

Next, isolate the variable, a, by dividing -7 from both sides of the equation. Note that, when dividing or multiplying by a negative number, you must flip the sign:

(-7a)/-7 < (21)/-7

a < 21/-7

a > -3

a > -3 is your answer.

~

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In the parallelogram PQRS

  • PS = 5  and ∠Q  = 105
<h3>What is defined as the parallelogram?</h3>
  • A parallelogram is a type of quadrilateral created by parallel lines.
  • A parallelogram's angle between adjacent sides can vary, however the opposite sides must be parallel in order to be a parallelogram.
  • A parallelogram is formed when the opposite sides of a quadrilateral are parallel as well as congruent.

For the given question;

In the parallelogram PQRS,

QR = PS = 5 (opposite side of parallelogram are parallel and equal).

Sum of all angles is 360.

∠Q =  ∠S (opposite angles of parallelogram are equal)

∠P + ∠Q + ∠R + ∠S = 360

2∠P + 2∠Q = 360

2∠Q  = 360 - 2∠P

  • 2∠Q  = 360 - 150

2∠Q  = 210

∠Q  = 105

Thus, the angle Q is found as 105 degrees.

To know more about the parallelogram, here

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Step-by-step explanation:

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rusak2 [61]

Answer:

the graph is attached below

Step-by-step explanation:

y=x^2 - 2

LEts make a table to get the coordinates

we need to select integers between -3 and 3

x                  y=x^2 - 2

-2                y=(-2)^2-2=2               (-2,2)

0                 y= (0)^2 - 2= -2          (0,-2)

2                 y=(2)^2-2 = 2              (2,2)

Now we use the table for graphing the given equation

The graph is attached below



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