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forsale [732]
3 years ago
8

1. Evaluate

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
<span>1. Evaluate (2-2^3)^3-4x(-4)
</span>
(2-2 x^{3} )^{3} -4x(-4)=8-8x^{9} -16x<span>
</span>                                   =8(1-x^{9} -2x)<span>

2. Compute
-453+(-5.34)=-453-5.34
                    =-458.34
-56+27.4=-28.6

3. Use <, >, or =

9 > -8
-12 < -3
-4 > -7</span>
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true or false. the absolute value of. number will always be greater than the number itself. justify ur answer
swat32

false have a great day

6 0
2 years ago
Pls help me i need it​
Delvig [45]

Answer:

13=x

Step-by-step explanation:

Side-spliting theorem

21/(x-4)=14/6

cross multiply

21*6=14*(x-4)

distribute 14

126=14x-56

add 56 to both sides

126+56=14x-56+56

leaving you with

182=14x

Divide both sides by 14 to get x by itself

182/14=14x/14

13=x

4 0
3 years ago
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
  • Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
  • Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0
2 years ago
6.) *
labwork [276]

Answer:

the common difference is 5.4 and yes, this is an arithmetic sequence

Step-by-step explanation:

Each new term is derived by adding 5.4 to the previous term:

2.1 + 5.4 = 7.5,

7.5 + 5.4 = 12.9,

and so on,

so the common difference is 5.4 and yes, this is an arithmetic sequence.

8 0
3 years ago
Hi can I have help? Please...
AnnyKZ [126]

Answer:

500

Step-by-step explanation:

8 0
3 years ago
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