MATHEMATICS HIGH SCHOOL

Simplify. square root 75 minus 4 times the square root 8 minus 3 times the square root of 32negative 15 square root 5
negative 15 square root 6
5 square root 3 minus 20 square root 2
5 square root 3 plus 4 square root 2

Answers

Answer 1
Answer: So,

√(75) - 4 √(8) - 3 √(32)

Simplify the radicals.
√(25) * √(3) - 4 * √(4) * √(2) - 3 * √(16) * √(2)
5 * √(3) - 4 * 2 * √(2) - 3 * 4 * √(2)
5√(3) - 8 * √(2) - 12 * √(2)
5√(3) - 8√(2) - 12√(2)
5√(3) - 20√(2)

The correct answer is C.

Related Questions

Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117
Gomez found the masses of three rocks for a science project. The first rock had a mass of 19.28 grams the second rock had a mass of 25.3 grams and the third rock had a mass of 46.3 grams. How much greater was the mass of the third rock than the combiend mass of the other two rocks.
The box plots below show the average daily temperatures in July and August for a U.S. city: two box plots shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom box plot is labeled August. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100 What can you tell about the means for these two months?
In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation ?
If the slope of a line is 2 and its y-intercept is 5, what is the equation of the line?

Write the given equation in slope intercept form x-6y=0

Answers

The equation x - 6y = 0 can be written in slope-intercept form as y = (1/6)x

How to write the equation in slope intercept form

To convert the given equation into slope-intercept form (y = mx + b), we isolate y on one side of the equation.

First, we add 6y to both sides to get x = 6y.

Next, we divide both sides by 6, yielding y = (1/6)x.

The slope (m) iis1/6 which represents the change in y for every unit change in x. The intercept (b) is 0, indicating that the line passes through the origin.

In conclusion, the equation x - 6y = 0 can be written in slope-intercept form as y = (1/6)x. This form allows us to easily identify the slope and y-intercept, providing valuable information about the graph of the line. The slope of 1/6 means the line has a positive slope, and the y-intercept of 0 indicates that the line passes through the origin.

Read more about y-intercept here:brainly.com/question/26249361

#SPJ3
For this problem I got y= 1/6x

Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. They would like to earn a profit of at least $750Part A: Define a variable to represent the unknown quantity in this situation.

Part B: Write an inequality to represent the amount of money charged per lawn, the cost of the lawnmower and the profit.

Answers

Answer:

I got  65

Step-by-step explanation:

The profit will be given as:

P=$15x−$225  

(where we subtracted the cost of the mower) so that  P=$750

x will be the required number of needed lawns.

We need to solve:

$750=$15x−$225  

rearranging:

x=$750+$225 /  $15  =65  lawns

At a high school, the probability that a student takes a science class and a history class is 0.44. The probability that a student takes a science class is 0.68, and the probability that the student takes a history class is 0.56. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?0.44
0.65
0.30
0.79

Answers

P(history given science) = P(history intersect science) / P(science) = 0.44/0.68 = 0.65

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)^2 = q.12 - 8x^2 + x^4 = 0

A) (x2 - 4)2 = -4

B) (x2 - 4)2 = 4

C) (x2 - 2)2 = -4

D) (x2 - 2)2 = 4

Answers

                             x⁴ - 8x² = 0
                     x⁴ - 8x² + 16 = 0 + 16
             x⁴ - 4x² - 4x² + 16 = 16
x²(x²) - x²(4) - 4(x²) + 4(4) = 16
           x²(x² - 4) - 4(x² - 4) = 16
                   (x² - 4)(x² - 4) = 16 
                            (x² - 4)² = 16

The answer is B.

Use the rule y = -x + 7 to fill in the blank
if (1, y) is on the graph, then y =
​

Answers

Answer:Y=6

Step-by-step explanation:

Y=-x+7

For -x put 1 for the -x

So y=-1+7

Y=6

PLEASE HELP ASAP!!!!Hugo is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D. Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V. Enter the answers, in simplified form, in the boxes to complete the proof. The coordinates of point A are ( , ). The coordinates of point B are ( , ). The coordinates of point C are (2c, d) . The coordinates of point D are (c, 0) . The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is . The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is −bc−a . Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Answers

Answer:

Step-by-step explanation:

R(0,0)

A=((0+2a)/2,(0+2b)/2)=(a,b)

S(2a,2b)

B=((2a+2c)/2,(2b+2d)/2)=(a+c,b+d)

T(2c,2d)

C=((2c+2c)/2,(2d+0)/2)=(2c,d)

V(2c,0)

D=((2c+0)/2,(0+0)/2)=(c,0)

R(0,0)

slope of AB=(b+d-b)/(a+c-a)=d/c

slope of DC=(d-0)/(2c-c)=d/c

slope of AD=(0-b)/(c-a)=-b/(c-a)

slope of BC=(d-b-d)/(2c-a-c)=-b/(c-a)
Other Questions
Im supposed to simply this into a rational number how do i do this?
What is the center of the circle x² + y2 - 16 = 0?
Two studies were completed in California. One study in northern California involved 1,000 patients; 74% of them experienced flulike symptoms during the month of December. The other study, in southern California, involved 500 patients; 34% of them experienced flulike symptoms during the same month. Which study has the smallest margin of error for a 98% confidence interval?The northern California study with a margin of error of 3.2%. The southern California study with a margin of error of 3.2%. The northern California study with a margin of error of 4.9%. The southern California study with a margin of error of 4.9%.
If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees?A.88B.89C.90D.91