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notka56 [123]
2 years ago
5

Write 8 as a product of primes. Use index notation

Mathematics
1 answer:
dimaraw [331]2 years ago
4 0

Answer:

2³

Step-by-step explanation:

8 = 2 × 2 × 2 = 2³

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If JK and LM are congruent and parallel, then JKL and MLK are congruent.
viktelen [127]

Answer:

Given statement is TRUE.

Step-by-step explanation:

Given that line segment JK and LM are parallel. From picture we see that LK is transversal line.

We know that corresponding angles formed by transversal line are congruent.

Hence ∠JKL = ∠ MLK ...(i)

Now consider triangles JKL and MLK

JK = LM  {Given}

∠JKL = ∠ MLK { Using (i) }

KL = KL  {common sides}

Hence by SAS property of congruency of triangles, ΔJKL and ΔMLK are congruent.

Hence given statement is TRUE.

3 0
3 years ago
Find the maxmium area of a rectangular plot of land which can be enclosed by rope of length 60 metres​
mario62 [17]

Answer:

225 m²

Step-by-step explanation:

If W is the width of the rectangle, and L is the length, then:

60 = 2W + 2L

A = WL

Use the first equation to solve for one of the variables:

30 = W + L

L = 30 − W

Substitute into the second equation:

A = W (30 − W)

A = 30W − W²

This is a parabola, so we can find the vertex using the formula x = -b/(2a).

W = -30 / (2 × -1)

W = 15

Or, we can use calculus:

dA/dW = 30 − 2W

0 = 30 − 2W

W = 15

Solving for L:

L = 30 − W

L = 15

So the maximum area is:

A = WL

A = (15)(15)

A = 225

3 0
3 years ago
Bill went to the movies with some of his friends. tickets cost $8.50 each . they spent $18.00 total for food . their total was $
Marina86 [1]
18.00 + 8.50 + 8.50 + 8.50 + 8.50 = 52.00

So that's 4 Friends
4 0
3 years ago
Rewrite in simplest terms: 4(-5u +3) – 4(8u - 1)
viktelen [127]

Answer:

You distribute then combine

your answer is <u><em>-52u+16</em></u>

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help me with this pls
Rufina [12.5K]

Answer:

b^-6

Step-by-step explanation:

(b^-2) / (b^4) = b^(-2 - 4)

3 0
3 years ago
Read 2 more answers
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