MATHEMATICS HIGH SCHOOL

Which measurement is the best estimate for the thickness of a phone book?A : 5 km

B : 5 cm

C : 5 m

D : 5 mm

Answers

Answer 1
Answer: 5cm
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Answer 2
Answer:

Answer:

5cm


Step-by-step explanation:

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What is the solution of log3x − 12 729 = 6?x = −5x = −3x = 3x = 5*"3x- 12" is next to log, but it's in the bottom, like an exponent, but instead of it being on top, it's below.
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Erica makes 4,840$ monthly. What is the maximum loan she can take out on a house?

Answers

The maximum loan she can take out on a house is $174,240

What is the intersection of plane STXW and plane SVUT

Answers

I think the answer is S because S is in both planes.

Answer:st

Step-by-step explanation:

st

Find the sum of the geometric sequence 4, 16, 64, 256, 1024

Answers

The formula for sum of a GP is 
S_n= (a_1(1-r^n))/(1-r)
Where S_n is the sum of 'n' terms, a_1 is the first term, 'r' is the common ratio
The common ratio is 16 divided by 4, that's 4

S_(5)= (4(1-4^5))/(1-4)
S_(5)= 1364

Answer:

4

Step-by-step explanation:

The pattern is that each number is multiplied by 4 so the answer is 4. Oh this was 3 years ago.... raspberries!!

Solve the equation for t

t-(7-3t) +5=2t+10

Answers

t-(7-3t)+5=2t+10\ \ \ \ \ | omit\ the\ bracket\n\nt-7+3t+5=2t+10\n\n4t-2=2t+10\ \ \ | subtract\ 2t\n\n2t-2=10\ \ \ | add\ 2\n\n2t=12\ \ \ \ | divide\ by\ 2\n\nt=6
t-(7-3t)+5=2t+10
combine like terms for each side first
(7-4t)-5=2t+10
than combine like terms to one side to make the variable positive
(7)-5=6t+10
next combine like terms to the other side( just the number not the variable
7-5-10=6t
now you simplify again
-8=6t
than you divide both sides by 6 to get t(the variable) by it self
-1(1)/(3)=t

In sondras math class the teacher gives all of the students the digram below where ab is perpendicular to bc and ac is perpendicular to bd. sondra works with her classmates to prove that triangle abc, triangle abd and triangle bdc are all similiar right triangles. based on the similarity of the three right triangles, show (AB)2 + (BC)2 = (AC)2

Answers

Given the set up of the diagram, AB^2 will equal AC x AD and BC^2 will equal AC x DC. To solve, substitute AB^2 + BC^2 with (AC x AD) + (AC x DC). Then, take out like terms through the distributive property: AC (AD + DC). AD + DC is equal to AC. So, AC x AC = AC^2.

Which of the following equations is an equation formed when completing the square on y 2 - 12y = -27?(y - 6) 2 = -27
(y - 6) 2 = 9
(y + 6) 2 = 9

Answers

Answer:  The correct option is

(B) (y-6)^2=9.

Step-by-step explanation:  We are given to select the equation that is formed when completing the square on the following equation :

y^2-12y=-27~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following formula :

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

From equation (i), we have

y^2-12y=-27\n\n\Rightarrow y^2-2* x*6=-27\n\n\Rightarrow y^2-2* x* 6+6^2=-27+6^2\n\n\Rightarrow (y-6)^2=-27+36\n\n\Rightarrow (y-6)^2=9.

Thus, the required equation that is formed is(y-6)^2=9.

Option (B) is CORRECT.
Hello,

You should write y²-12y=-27 or y^2-12y=-27

y²-12y=-27
==>y²-2*6y+6²=-27+36
==>(y-6)²=9
(second answer)
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