MATHEMATICS HIGH SCHOOL

152/26 rounded to three decimal places

Answers

Answer 1

Answer:

Answer:

6.000

Step-by-step explanation:

156/26=6

to 3d.p = 6.000

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Multiply2y-2u9•3y9•u6Simplify your answer as much as possible.

What is the range of the data set 22 30 49 71 85 88 92 97 99

Answers

the range is 77. you calculate range by subtracting the smallest number from the biggest number.

Nine times number is 6300 what is the number

Answers

9 times y = 6300.
6300/9=y
y=700
Your answer is 700.

50 is 6.25% of what number?

Answers

Answer:

800

Step-by-step explanation:

Answer:

i think its 800

Step-by-step explanation:

taking the test

What is the slope of a line perpendicular to x - 5y = -10?What is the slope of a line parallel to 4x + y = -1?

What is the slope of a line perpendicular to x - 3y = 9?

What is the slope of a line parallel to 10x - 5y = 8?

What is the slope of a line parallel to 4x + 2y = 5?

Answers

slope of line perpendicular to : x - 5y = -10
-5y = -x - 10
y = 1/5x + 2.....slope here is 1/5...perpendicular line needs a negative reciprocal slope. All that means is flip the slope and change the sign.
1/5......flip.....5/1.....change the sign....-5/1...or just -5 <== answer

slope of line parallel to 4x + y = -1
y = -4x - 1...slope here is -4....parallel lines will have the same slope
answer is : -4

slope of line perpendicular to x - 3y = 9
-3y = -x + 9
y = 1/3x - 3....slope = 1/3.....flip...3/1....change sign...-3 <== answer

slope of line parallel to 10x - 5y = 8
-5y = -10x + 8
y = 2x - 8/5....slope = 2....parallel lines have same slope...answer = 2

slope of line parallel to 4x + 2y = 5
2y = -4x + 5
y = -2x + 5/2.....slope = -2

y=-4x would be parallel to 4x + y = -1

y=-3x would be perpendicular to x - 3y = 9

y=-2x would be parallel to 10x - 5y = 8

y=2x would be parallel to 4x + 2y = 5

What is the area of the polygon given below? Please explain how you got the answer

Answers

The area is the sum of 3 rectangles areas
First          12 * 19 = 228
Second       3 * 3   = 9
Third           2 * 17 = 34

so the area = 228 + 34 + 9 = 271 square units

The total area is 271 square units.

Here is something that I almost never do, but I'm going to
do it this time:

I almost never draw a picture or a diagram to show how I got
my answer. But this one would be so complicated to try and
explain with text, that I marked my process on top of your
picture, and I attached my final picture to this answer.

It'll show you how I split the whole figure up into one square
and two rectangles, then found the area of each piece, and
then added them all together.

6. Minimum value determined by the formula function f (x) = 2x ²-8x + p was 20. Value f (2) is.7. Shape factor of the quadratic equation 4x ²-13x = -3 is ...
8. Quadratic function whose graph passes through the point (-12.0) and has a turning point (-15.3) is ..
9. Roots of a quadratic equation: 4x ² + px +25 = 0 are x1 and x2, if the roots of the quadratic equation x1 ² + x2 ² = 12.5 then the value of p is ....
10. Equation x ²-4x +3 = 0 and x ² +4 x-21 = 0, has a root persekutuan.Akar the alliance is

Answers

$6)\ \ \ f(x)=2x^2-8x+p\nthe\ minimum\ value =20\ \ \ \Leftrightarrow\ \ \ y_(\ of\ vertex)=20\ \ \ \Leftrightarrow\ \ \ - (\Delta)/(2a) =20\n\n\Delta=(-8)^2-4\cdot2\cdot p=64-8p\ \ \Leftrightarrow\ \ - (64-8p)/(2\cdot2) =20\ \ \Leftrightarrow\ \ -16+2p=20\n\n2p=36\ \ \ \Leftrightarrow\ \ \ p=18\ \ \ \Rightarrow\ \ \ \ f(x)=2x^2-8x+18\n\nf(2)=2\cdot2^2-8\cdot2+18=2\cdot4-16+18=8+2=10$

$7)\ the\ shape\ factor\ of\ the\ quadratic\ equation\ 4x^2-13x = -3\n is\ a=4\ \ \ (\ a>0\ \ \ \rightarrow\ \ \ the\ shape\ is\ \cup\ )\n\n8)\ \ \ the\ turning\ point=(-15;3)\ \ \ \Rightarrow\ \ \ f(x)=a(x+15)^2+3\n\n the\ graph\ passes\ through\ the\ point\ (-12.0) \ \Rightarrow\ \ 0=a(-12+15)^2+3\n\n\Rightarrow\ \ \ a\cdot3^2=-3\ \ \ \Rightarrow\ \ \ a=- (3)/(9) =- (1)/(3) \ \ \ \Rightarrow\ \ \ f(x)=- (1)/(3)(x+15)^2+3$

$\Rightarrow\ \ \ f(x)=- (1)/(3)(x^2+30x+225)+3=- (1)/(3)x^2-10x-72\n\n9)\ \ \ 4x^2+px+25=0\n\n\Delta=p^2-4\cdot4\cdot25=p^2-400\n\ntwo\ solutions\ \ \Leftrightarrow\ \ \Delta>0\ \ \Leftrightarrow\ \ p^2-40>0\ \ \Leftrightarrow\ \ (p-20)(p+20)>0\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \Leftrightarrow\ \ \ p\in(-\infty;\ -20)\ \cap\ (20;\ +\infty)\n-------------------------------$

$the\ Vieta's\ formulas\ to\ the\ quadratic\ equation\ ax^2+bx+c=0\n\nx_1+x_2=- (b)/(a) \ \ \ and\ \ \ x_1\cdot x_2= (c)/(a) \n------------------------------\n\nx_1+x_2=- (p)/(4) \ \ \ and\ \ \ x_1\cdot x_2= (25)/(4) \n\nx_1^2+x_2^2=x_1^2+2\cdot x_1\cdot x_2 +x_2^2-2\cdot x_1\cdot x_2 =(x_1+x_2)^2-2\cdot x_1\cdot x_2 \n\nx_1^2+x_2^2=(x_1+x_2)^2-2\cdot x_1\cdot x_2 \ \ \ \Leftrightarrow\ \ \ 12.5=(- (p)/(4) )^2-2\cdot (25)/(4) \n\n$

$12.5= (p^2)/(16) +12.5 \ \ \ \Leftrightarrow\ \ \ (p^2)/(16)=0 \ \ \ \Leftrightarrow\ \ \ p^2=0 \ \ \ \Leftrightarrow\ \ \ p=0\n\n\n10)\ \ \ x^2-4x+3=0\ \ \ and\ \ \ x^2+4x-21=0\n\n x^2-4x+3=x^2+4x-21\ \ \Leftrightarrow\ \ -4x-4x=-21-3\n\n\ \ \Leftrightarrow\ \ -8x=-24\ \ \Leftrightarrow\ \ x=3$

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