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2 years ago

How would you get 32a^5?

Mathematics

2 answers:

bogdanovich [222]2 years ago

7 0

Answer:

-32a**5

Step-by-step explanation:

any negative to an odd power is negative

(-2a)**5 = (-2**5 * a**5) = -32a**5

Daniel [21]2 years ago

4 0

Answer:

${( - 2a)}^{5}$

open the bracket:

$= ( - 2) {}^{5} (a) {}^{5} \\ \\ = - 32 {a}^{5}$

magnitude:

$| - 32 {a}^{5} | = 32 {a}^{5}$

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Rasek [7]

Answer:

3/4 and 0.95 would both result in a reduction.

Step-by-step explanation:

multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.

8 0

2 years ago

Read 2 more answers

2 Points

Mashcka [7]

Answer:

Step-by-step explanation:

Factor: -7x^2 -5x+18

Factor -1 out of 7x^2 -5x +18:

−(7x^2+5x−18)

Factor.

1. 18 is negative, so a negative number multiplied by a postive number.

2. You can't factor 7, so 7x times x.

(7x−9)(x+2)

4 0

3 years ago

Dominic is 72 inches tall and casts a 6o inch shadow his son who is standing next to him cast a 50 inch shadow how tall is his s

Lostsunrise [7]

Dominics son is 45inches tall

Step-by-step explanation:

Let his sons height be 'h'

If Dominic is 72 inches and casts a shadow of 60 inches. His son casts a shadow of 50 inches.

Then We can say that,

h = 50 x (72/60)

h = 45 inches

Dominics son is 45inches tall

3 0

2 years ago

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

3 years ago

The equation of a parabola is given.

BlackZzzverrR [31]

Answer:

Directrix equation: y = 11/2

y = k - c = 6 - 1/2 = 11/2

Step-by-step explanation:

y=(1/2) x^2+6x+24

factor this

y = (1/2)* [ x^2 + 12x ] + 24

y = (1/2)* [ x^2 + 12x + 36 - 36] + 24

y = (1/2)* [ (x + 6)^2 - 36] + 24

y = (1/2)* (x + 6)^2 - 18 + 24

y = (1/2)* (x + 6)^2 + 6

y - 6 = (1/2)* (x + 6)^2

2*(y - 6) = (x + 6)^2

4c = 2, (h, k) = (-6, 6)

c = 1/2

Directrix equation: y = k - c = 6 - 1/2 = 11/2

3 0

3 years ago