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V125BC [204]
2 years ago
15

X^2 + y^2 = 81 write down the equations of the two horizontal lines that are tangent to c

Mathematics
1 answer:
Inessa [10]2 years ago
6 0

Answer:

Step-by-step explanation:

x² + y² = 81

x + y = √81

x + y = 9

x ≥ 9

y ≤ 9

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Simplify 3(7-3) the second power -4(6+2)
expeople1 [14]

Answer:

112

Step-by-step explanation:

3(7-3) = 3 x 4 = 12

12^2 = 144

144 -4(6+2)

144-4(8)

144-32

112

8 0
3 years ago
Read 2 more answers
In 2018, there were about 32 million teenagers (aged 13–17) in the United States. They each sent an average of 1200 text message
Alja [10]

Answer:3.84x10^10

Step-by-step explanation:

32,000,000 teenagers

1200 text messages per month

32,000,000 * 1,200= 38,400,000,000----(scientific notation)-----> 3.84x10^10

3 0
3 years ago
Triangle ABC is congruent to triangle DFE. Find x.
Archy [21]

ΔABC ≡ ΔDFE

⇒ line EF = BC

.

<u>Solve x:</u>

3x - 4 = 20

3x = 24

x = 8

.

Answer: x = 8

4 0
3 years ago
In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
3 years ago
Distributive property -12(3a+2b-1)
leva [86]
Multiply -12 to each of the terms (make sure to carry the negative!)

-36a - 24b + 12 will be your final answer :)
8 0
3 years ago
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