MATHEMATICS HIGH SCHOOL

The Equation Of Line Q Is Y= 1/6 X-5 . Line R, Which Is Parallel To Line Q, Includes The Point 6,2 . What Is The Equation Of Line R?

Answers

Answer 1

Answer:

Answer:

y = $(1)/(6)$ x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given line Q with equation

y = $(1)/(6)$ x - 5 ← in slope- intercept form

with slope m = $(1)/(6)$

• Parallel lines have equal slopes , then

y = $(1)/(6)$ x + c ← is the partial equation of line R

to find c , substitute the point (6, 2 ) for x and y into the partial equation

2 = $(1)/(6)$ (6) + c = 1 + c ( subtract 1 from both sides )

1 = c

y = $(1)/(6)$ x + 1 ← equation of line R

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Last year, manuel saved $50 per month . this year, he increases his monthly savings by 25%. he plans to buy a smart phone for $375. at this rate, how long will it take him to save enough money to buy the smart phone if he starts saving for it this year?

Answers

First multiply 50 and .25 to find out how much extra he is saving, $12.5 Then add that to 50 to get $62.5. Divide $375 by $62.5 to get 6. It will take 6 months to save the money. Hope this helps!

Malina has to bowl four games in her league. She bowled a 149, 162, and a 152 in her first three games. She wants to have an average score of 154. What score does she need in her fourth game?a.152

b.153

c.154

d.155

Answers

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Number of games she bowl = 4

Score of her in first three games are

149, 162, 152.

Her average score = 154

Let the score in her fourth game be 'x'.

As we know the formula for "Average ":

$Average=\frac{\text{Sum of all observation}}{\text{Total number of observations}}\n\n\n154=(149+162+152+x)/(4)\n\n\n154* 4=463+x\n\n\n616=463=x\n\n\n616-463=x\n\n\n153=x$

Hence, Her score in fourth game is 153.

Therefore, Option 'B' is correct.

(149+162+152+X)/4=154
149+162+152+X=616
X=616-149-162-152=616-314-149=302-149=153
She needs a score of 153.

Polynomials
(14x3y2z)4

Answers

With the problem in figures, solving the given polynomials would be based on how it is being situated. If 3,2 and 4 are exponents, you are going to distribute the 3rd exponent which is 4 to the rest of the numbers so the figure goes 14 to the power of 4 then x to the power of 3 multiplied by 4 and y to the power of 2 multiplied by 4. With its polynomial term, the simplified term is 38416 x to the power of 12 y to the power of 8 and z to the power of 4

Final answer:

The result of raising the polynomial (14x3y2z) to the 4th power is 38416x12y8z4. This is calculated by individually multiplying each part of the polynomial by itself 4 times.

Explanation:

The problem is asking you to calculate the result of raising a polynomial (14x3y2z) to the 4th power.

The operation refers to using the rule of powers which states that any base with an exponent is multiplied by itself the amount of times indicated by the exponent. The result should therefore be calculated as follows:

(14x3y2z)4 = 38416x12y8z4

To find the answer, we raised each part of the polynomial to the 4th power. 144 equals 38416, (x3)4 results in x12 because you multiply the exponents, (y2)4 results in y8 for the same reason and z4 because anything to the power of 4 is itself raised 4 times.

Learn more about Polynomial calculation here:

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Which relationships hold true for the sum of the magnitudes of vectors u and v, which are perpendicular? a. ||u+v||=||u||+||v|| b. ||u+v||=sq rt(||u||^2+||v||^2) c. ||u+v||

Answers

The perpendicular are B) ||u+v|| = sqrt ||u||^2 + ||v||^2 and D) ||u+v|| less than ||u||+||v||

We have given that,

The relationships hold true for the sum of the magnitudes of vectors u and v,

We have determined which are perpendicular.

What is the magnitude of the vector?

The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector.

B) ||u+v|| = sqrt ||u||^2 + ||v||^2

AND

D) ||u+v|| less than ||u||+||v||

To learn more about the vector visit:

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it is

B) ||u+v|| = sqrt ||u||2 + ||v||2

AND

D) ||u+v|| less than ||u||+||v||

20,600 at 8 % for 2 years

Answers

First you have to find 8% of 20,600, this would be the rate per year. Then multiply what you get by 2, to figure out how much it is for 2 years. The answer is 3,296. HOPE THIS HELPS!!

what is the actual question please
what are we suppose to find
if it growth or decay
20600(1+8)^2 then 1668600

Sketch one cycle of the sine curve. y = -3 sin 4theta