MATHEMATICS HIGH SCHOOL

Simplify this expression. 2 square root 5 (13 + square root 2)

Answers

Answer 1

Answer:

The product of 2 square root 5 (13 + square root 2) in simplified form is 26√5 + 2√10

Calculating the product in simplified form

From the question, we have the following parameters that can be used in our computation:

2 square root 5 (13 + square root 2)

Express as products

So, we have

2√5 * (13 + √2)

Open the brackets

So, we have

2√5 * (13 + √2) = 2√5 * 13 + 2√5 *√2

Multiply the radicands

So, we have the following

2√5 * (13 + √2) = 2√5 * 13 + 2√10

Evaluate the products

So, we have the following

2√5 * (13 + √2) = 26√5 + 2√10

Hence, the solution is 26√5 + 2√10

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Using the property of squares find the value of the following 24 square - 23 square

Answers

Answer:

Step-by-step explanation:

Using the follwing property

$x^(2) -y^2=(x+y)(x-y)$

in which x=24 and y=23

$24^2-23^2=(24-23)(24+23)\n=1(47)\n=47$

Answer:

Step-by-step explanation:

Lets say 24 is x and 23 is y.

the equation would be x^2 - y^2

this is = to (x-y)(x+y)

substitute the numbers in

(24-23)(24+23)

which simplifies to

(1)(47)

which equals 47

The remainder when x^3 - 11x + 10 is divided by (x+3) isA 52
B 16
C 4
D -24

I was doing a past paper and came across this,I know one (long) way of doing this and was just wondering if anyone could show me a shorter way!!!

Answers

If you divide a polynomial $P(x)$ by a binomial $x-c$ , then the remainder is equal to $P(c)$ .

$c=-3\nR(x)=P(-3)\nR(x)=(-3)^3-11\cdot(-3)+10\nR(x)=-27+33+10\nR(x)=16$

For each equation, choose the statement that describes its solution. if applicable, give the solution.5(y+1)-7 = 3(y-1)+2y

no solution

y = ?

all real numbers are solutions

Answers

Answer:

This equation has no solution.

Step-by-step explanation:

Perform the indicated multiplication: 5(y+1)-7 = 3(y-1)+2y

We get 5y + 5 - 7 = 3y - 3 + 2y. Subtracting 5y from both sides yields -2 = -3, which is never true. This equation has no solution.

you are facing east. you turn left, then left again, then about face, then right. which direction are you finally facing?

Answers

You will be facing south because, if you turn left then you are north then left again you are west then 180 degrees around you are back at East the go right you are south.

You are facing South because if you look at a map, and you are turning left, then right it's south

The endpoint of MP are M(2,1) and P(14,10). If point K partitions MP in aratio of MK:KP=3:2, what are the coordinates of K?

Answers

Answer: The required co-ordinates of he point K are (9.2, 7).

Step-by-step explanation: Given that the the endpoint of MP are M(2,1) and P(14,10) and the point K partitions MP in the ratio of MK : KP = 3 : 2.

We are to find the co-ordinates of point K.

We know that

the co-ordinates of a point that divides the line joining the points (a, b) and (c, d) in the ratio m : n are given by

$\left((mc+na)/(m+n),(md+nb)/(2)\right).$