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salantis [7]
3 years ago
5

Help with the both of the questions:)

Mathematics
1 answer:
Veronika [31]3 years ago
6 0

Answer:

b for the first and c for the second

Step-by-step explanation:

i know what i know

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Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
Intersecting, parallel or perpendicular. Write the correcta
OLga [1]
Answer:
1. Intersecting
2. Perpendicular
3. Perpendicular
4. Perpendicular
5. Parallel
7 0
3 years ago
Find the value of x in each case. Give reasons to justify your solutions!
tangare [24]

Answer:

x=27°

Step-by-step explanation:

we know that

<u><em>The Triangle Exterior Angle Theorem</em></u>, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

step 1

Find the measure of angle PLM

we know that

m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem

we have

m∠LPM=x°

m∠PMN=2x+72°

substitute

m∠PLM+x=2x+72°

m∠PLM=2x-x+72°

m∠PLM=x+72°

step 2

Find the measure of angle x

we know that

3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)

we have

m∠PLM=x+72°  (see step 1)

substitute

3x+x+72°=180°

4x=180°-72°

4x=108°

x=27°

4 0
3 years ago
Read 2 more answers
Preston works in a bakery where he puts muffins in boxes. He makes the following table to remind himself how many blueberry muff
Natasha_Volkova [10]
It is being multiplied by 3. blueberry muffins ×3 = total # of muffins,so the answer would be 12
8 0
3 years ago
Read 2 more answers
Write an equation that has of constant of proportionality of 15.
hoa [83]
Hello there! The formula for constant of proportionality is k = y/x, which also is k = slope.

Equations with a constant of proportionality of 15 would be:

• k = 15/1

• k = 30/2

•k = 75/5

and so on. Anything that is a multiple of 15 and is placed as the numerator over the dividend used to receive a quotient of 15 would work. Hope this helps!
4 0
2 years ago
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