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shepuryov [24]
3 years ago
14

32a³b² _____ 8ab² Simplify the following expression.

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Answer:

4a^{2}

Step-by-step explanation:

We need to simplify the following expression:

y=\frac{32a^{3}b^{2}}{8ab^{2}}

We know that: \frac{x^{a}}{x^{b}}=x^{a-b}. Applying this rule, we have that:

y = \frac{32a^{3}b^{2}}{8ab^{2}} = 4a^{3-1}b^{2-2} = 4a^{2}

Then, the solution is: 4a^{2}

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Which of the lines have a slope of 2?
ololo11 [35]

Answer:

Im 99% sure it is D but the graphs are hard to see

Step-by-step explanation:

7 0
2 years ago
Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0
3 years ago
A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point-slope form?
almond37 [142]

Answer:

7-2x=y

Step-by-step explanation:

When a point passes through a line it satisfies its equation

(X-x0 )m= y-y0

Slope = m = -2

(X-2 )(-2)=y-3

4-2x=y-3

7-2x=y

7 0
3 years ago
An oblique cylinder has a radius of 10 units and slant length of 26 units.
GREYUIT [131]

Answer:

A. 2,400π cubic units

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Complete the proof by providing the missing statement and reasons
Lisa [10]

Answer:

In triangle SHD and triangle STD.

\overline{SD} \perp \overline{HT}          [Side]

Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.

⇒ \angle SDH = \angle SDT = 90^{\circ}

\overline{SH} \cong \overline{ST}       [leg]               [Given]

Reflexive property states that the value is equal to itself.

\overline{SD} \cong \overline{SD}       [Leg]       [Reflexive property]

HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.


then, by HL theorem;

\triangle SHD \cong \triangle STD                       Proved!



6 0
3 years ago
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