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ryzh [129]
3 years ago
15

Find the number that makes the ratio equivalent to 1:2. 9:

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

9:18

Step-by-step explanation:

1:2 means that you have to multiply the first number by 2 to get the second number. Therefore, you have to multiply 9 by 2, which is equal to 18. Therefore, it would be 9:18.

If this has helped please mark as brainliest

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The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0
3 years ago
Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)
astraxan [27]

Answer: 4\sqrt{3} .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

D=\sqrt{(d-b)^2+(b-a)^2}

Distance between points (-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3}).

D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}

Hence, the correct option is 4\sqrt{3} .

3 0
3 years ago
What is the value of x in the equation log(x+2) - log(x-1) = log 2​
pentagon [3]

Step-by-step explanation:

log(x+2)-log(x-1)=log2

log(x+2)/(x-1)=log2

=> (x+2)=2(x-1)

=>x+2 =2x-2

=> x=4

5 0
3 years ago
Paul can type 60 words per minute and Jennifer can type 80 words per minute. How does Paul’s typing speed compare to Jennifer’s
yan [13]
I'm not certain how exactly this question is supposed to be answered. 

If it wants a ratio, Paul and Jennifer's speeds would be in a ratio of 3:4.

It also could be Paul types 20 words per minute slower than Jennifer.

It could be Paul types 33% slower than Jennifer.

Another answer could be Paul's typing speed is 3/4ths of Jennifer's typing speed.

Feel free to ask any further questions.
4 0
3 years ago
Read 2 more answers
Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively.
Tju [1.3M]
Hello : 
<span>the nth term of a geometric sequence is : 
Un = Up ×r^(n-p)    .   r is the common ratio 
for : p=5 and n= 2
U5 = U2 ×r^3
16 = -2 r^3
r^3 = -8
but : -8 = (-2)^3
so :  r = -2
Un = U2 × r^(n-2)
Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)

</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>
4 0
3 years ago
Read 2 more answers
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