Answers
Answer:
The expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Step-by-step explanation:
Given the expression
[tex]\sqrt{25\:}\:-2\sqrt{3}\:+\:\sqrt{27}\:+2\sqrt{9\:}\:[/tex]
as
[tex]\sqrt{25}=5[/tex][tex]\sqrt{27}=3\sqrt{3}[/tex][tex]2\sqrt{9}=6[/tex]so the expression becomes
[tex]=5-2\sqrt{3}+3\sqrt{3}+6[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2\sqrt{3}+3\sqrt{3}=\sqrt{3}[/tex]
[tex]=5+\sqrt{3}+6[/tex]
[tex]=11+\sqrt{3}[/tex]
Thus, the expression in simplified radical form is:
[tex]\sqrt{25}-2\sqrt{3}+\sqrt{27}+2\sqrt{9}=11+\sqrt{3}[/tex]
Related Questions
Equation of the Line
Lesson
I
After going through this lesson, you are expected to find the equation of a
line given (a) two points, (b) the slope and a point and (c) the slope and its
intercepts
From the given linear equation, we can determine 2 points that will satis-
fy the equation. Also we can determine the slope and the y- intercept so as the
x and y intercepts.
Example: Given - 2x + y = 6
Find: a. two points that will satisfy the equation
(b) slope and y-intercept
(c) x and y intercept
Solution:
(a) -2x + y = 6
If x = -1
If y = 2
-21-1) + y = 6
- 2x + 2 = 6
2 + y = 6- y = 4
-2x = 4-x= -2
The point is (-1,4)
The point is (-2, 2)
(b) Change the equation to slope intercept form : y = 2x + 6
Therefore the slope m = 2 and the y-intercept b = 6
(c) Find the and y intercept of -2x + y = 6
Let x = 0, -2(0) + y = 6; y = 6. the intercept is (0,6)
Let y = 0, -2x + 0 = 6; -2x = 6, X = -3, the y intercept is (-3,0)
Learning Task 1 : From the given equation of the line a) find two points that will
satisfy the equation, b) the slope and the y intercepts and c) the x and y-
intercepts.
2.
3y - X9
1. 3x + 2y = 5
Answers
9514 1404 393
Answer:
a) (0, 5/2), (5/3, 0)
b) m = -3/2; b = 5/2
c) (5/3, 0), (0, 5/2)
Step-by-step explanation:
Given:
3x +2y = 5
Find:
a) two points that satisfy the equation
b) slope and y-intercept
c) x-intercept
Solution:
Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.
a) Let x=0. Then we can find y from ...
3·0 +2y = 5
y = 5/2
One point is (0, 5/2).
Let y=0. Then we can find x from ...
3x +2·0 = 5
x = 5/3
Another point is (5/3, 0).
Two points on the line are (0, 5/2) and (5/3, 0).
__
b) The slope can be found using the slope formula on the two points we found.
m = (y2 -y1)/(x2 -x1)
m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2
The slope is -3/2. The y-intercept is 5/2.
__
c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.
Hi! Solve for x and y.
Answers
Answer: 14x -8= -112
Step-by-step explanation:
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x – 50 models Ryan's additional income. What is the expression that models the new average profit, including the bands? Note: To obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
Answers
Answer:
Average (additional) income = 100 - 50/x
Step-by-step explanation:
Ryan's additional income = 100x - 50 , where x = quantity of colored watch bands
Ryan's additional average income = Income / Quantity of watches sold
(100x - 50) / x
= 100 - 50/x
The between two points can be found by drawing a triangle. The length of this is the of the right triangle, the other two sides are and Example One: Determine the distance between the two points: (-2, -3) and (3, 4) (1) the points and the segment. a right triangle, and the units for the legs. (3) the right triangle, with and (4) Set up an equation. → Simplify and solve a² + b² = c²
Answers
Answer:
Don't let anyone bring you down you matter you rock!
Step-by-step explanation:
You are treating yourself this week-end to an afternoon at a paintball park. For three hours Paintball Excursions charges $30 to rent equipment and $15 for each box of paintballs used. On the other side of town, at Paintball USA, they do not charge for rental of equipment but charge $25 for each box of paintballs. Their sessions also last three hours. Write and solve an equation to find the number of boxes of paintballs you would have to use for both parks to charge the same amount.
HELP WILL GIVE BRAINLIEST
Answers
30=10x
x=3
On Monday, a local hamburger shop sold a combined total of 588 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answers
the answer would be 147.I hope this helps you
Step-by-step explanation:
4h=588
h=588÷4
Y greater than or less than 1/4 X + 2
Answers
Answer:
y[tex]\geq[/tex]1/4x+2
Step-by-step explanation:
What is the slope of the line between (-3, 6) and (11,-5)?
Answers
Answer:
m=-11/14
Step-by-step explanation:
A d + b = 180
B. C + b = d + c
C. Reflect across line CE. Then, angle CBD is the image of angle EBA.
D. Rotate 180 degrees using center B. Then, angle CBD is the image of angle EBA.
E. Reflect across the angle bisector of angle ABC. Then, angle CBD is the image of angle ABE.
Answers
6th grade math i mark as brainliest
Answers
250-25m
A large water tank holds 600 gallons of water. It is losing water at the rate shown in the table.
Answers
Answer:
Part A - The answer is C
Part B - a.true, b.true, c.false, d.true.
Step-by-step explanation:
Part A
The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.
Part B
a. The slope is -60 not -600, this was established on Part A.
b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.
c. The initial value was 600, -60 is the slope.
d. As mentioned in b. of part B.
A linear function changes by a constant rate.
The slope is -60, and it represents the rate at which the amount of water changes hourly.The true statements are (b) and (d)The false statements are (a) and (c)Two points on the table are given as:
[tex](x,y) = (0,600)\ (1,540)[/tex]
The slope (m) of the points is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{540 - 600}{1-0}[/tex]
[tex]m = \frac{- 60}{1}[/tex]
[tex]m = - 60[/tex]
So, the slope is -60, and it represents the rate at which the amount of water changes hourly.
The function of the table is represented as:
[tex]y = -60x + 600[/tex]
So:
(a) is false, because the slope is -60
(b) is true, because y = 180 when x = 7
(c) is false, because the initial value is 600
(d) is true
Read more about linear functions at:
https://brainly.com/question/15602982
The base of a triangle and a parallelogram are the same length. Their helghts are also the same. If the area of the
parallelogram Is 48 m2, what is the area of the triangle?
Answers
Answer:
24
Step-by-step explanation:
The area of a parallelogram is A=
The area of triangle is A=1/2 so this means if the area of the parallelogram is 48 m then the area of a triangle is 24 m
help me please I have no idea what the answer is
Answers
Answer:
-21/10
Step-by-step explanation:
-2/5 - 4/5 = -6/5 <--
a common denominator
Then...
-6/5 -9/10 = -21/10
There is not a common denominator so you have to multiply 2 to the -6/5 to make it -12/10
The answer can be left as an improper fraction which is -21/10
or a mixed number -2 1/10 th
What is the unit rate of $8.75 for 2.5 gallons?
Answers
Answer:
21.875
-------------------------------------------------------------------------------------------------$8.75/2.5
$8.75× 2.5= 21.875
2.5×2.5=1
Alexandra's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday
afternoon, the cafe sold 80 espressos in all, 64 of which were single-shot. What percentage of
the espressos were single-shot?
Answers
Answer: 80%
Step-by-step explanation:
64/80 x 100% = 80%
I WILL GIVE BRAINLIEST 50 POINTS
What is the average rate of change for the mold over the 6 days?
Answers
Answer:
The average rate of change is 63/6
Step-by-step explanation:
You take the the change from 0 - 6 and 1 - 64 as the changes
the equation is: delta y
delta x
so the average rate is 63/6
4x4 - 6x3 +6x-7
-2x2 + 3
what is the quotient
Answers
Answer:
12x
Step-by-step explanation:
Not a quotient because its not division.
The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many games are in a season?
Answers
Answer:
Step-by-step explanation:
You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.
The table shows the relationship of how many pounds of cherries are needed to make a certain number of pies:
Number of Pies
6
12
18
Pounds of Cherries
4
8
12
Which graph below shows plots of equivalent ratios for this situation?
A. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 20, 30 and 30, 45 and 40, 60.
B. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 20, 30 and 30, 30 and 40, 30.
C. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 30, 20 and 45, 30 and 60, 40.
D. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 20, 50 and 40, 30 and 60, 20.
Answers
Answer:
C. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 30, 20 and 45, 30 and 60, 40.
Step-by-step explanation:
If we take two of the original points from the data and put them in to two point form we get the following equation.
(6,4) and (12,8)
(y-4) = [(8-4)/(12-6)](x-6)
y = 2/3x
You have to start a the origin since we can only have enough ingredients to make pies and we can't start with partial pies. So move to y intercept up by 2.
Put the x values in for answer C and you'll return the y values.
Answer:
what the guy above me said and its c
Step-by-step explanation:
5. Identify the slope and the y-intercept in the follow
equation: *
(5 puntos)
y = 5x + 3
Escriba su respuesta
Answers
Answer:
Slope (m) = 5
Y-intercept (b) = 3
Step-by-step explanation:
The equation of a line is y = mx + b, where (m) is the slope and(b) is the y-int.
Knowing this, we see that the slope is 5 and the y-int is 3.
hope this helps!
Enter the equation of the line in slope-intercept form.
The line parallel to y =
7
4
x + 4 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = .
Answers
Answer:
y = 7/4x + 14
Step-by-step explanation:
0 = 7/4(-8) + b
0 = -14 + b
14 = b
y = 7/4x + 14
SHOW ALL YOUR WORK EVERY DIVISION ADDITION MULIPLICATON AND SUBTTRACTION PROBLEM YOU DO TO SIMPLIFY THIS EXPRESSION MUS BE SHOWN thanks :)
(6g-9)+1/3(15-9g)
Answers
Step-by-step explanation:
i hope this helps you somehow
Which of these is parallel to y= 4x-2
y=5+4x
y=4-3x
y=4x+1
y=5-4x
y=4x-4
Answers
Answer:
y=4x+5(the first one)
y=4x+1
y=4x-4
Step-by-step explanation:
If the slope is the same, it is parallel
The equation for a linear equation is y=mx+b
mx is the slope
your original equation is y=4x-2, so the slope is 4.
To find which ones are parallel, you find the ones with the slope 4x(make sure it isn't -4x).
You paid $80 for a coat. It had been discounted 25%. What was the original price of the coat?
Answers
Answer:
85.6
Step-by-step explanation:
80/75=1.07
1.07*80=85.6
What is the slope of the line that passes through the following points:
(4,-3), (-5,10)
Answers
hope this helped
Answer:
13/-9
Step-by-step explanation:
Actual distance between two places is 130 miles. The scale of the map is
1 in:100 miles. What is the distance between these two places in the map?
Answers
Answer:
1.3 inches
Step-by-step explanation:
1. Determine what you already know in order to set up the equation:
1 inch = 100 miles
x inches = 130 miles
Solving for x
2. Set up the equation so both numerators are the same unit (In this case, both numerators are the mile values and both denominators are the inch values.)
[tex]\frac{100}{1}[/tex] = [tex]\frac{130}{x}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second fraction's denominator, and vice versa. It doesn't matter which number is on which side of the = sign.)
100x = 130
4. Divide each side by 100 to isolate the variable.
x = 1.3
What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?
Answers
Answer:
y=x-1
Step-by-step explanation:
Answer:
y=x1
Step-by-step explanation:
What is mZG?
Enter your answer in the box.
FGH
(x-5)°
(3x+24)°
x°
Answers
Answer:
The angle for G is 121°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :
x + (x - 5) + (3x + 25) = 180°
5x + 20° = 180°
5x = 160°
x = 32°
Next, you have to find the angle of G :
G = 3x + 25
G = 3(32) + 25
G = 96° + 25°
G = 121°
Number the answer like, in the blank type in the answer. Pls help ignore my answers unless correct
1. ____
2____
3______
Answers
Answer:
1. 32 2. You got that one correct 3. 1 5/34
Step-by-step explanation:
1. 24 / 3/4
3/4 = .75
24/ .75 = 32
3. Turn into improper fraction
13/4 / 17/6
= 1 5/34
Hope this helps dude
The surface area of a sphere is 196 π . Its radius is
Answers
Answer:
The radius of the sphere is 7 units
Step-by-step explanation:
Surface Area
Given a sphere of a radius (r), the surface area is given by the formula:
[tex]\displaystyle A=4\pi r^2[/tex]
If the surface area is given, we can solve for r:
[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]
The surface area of a sphere is given A=196π.
Calculating the radius:
[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]
[tex]\displaystyle r=\sqrt{49}[/tex]
r = 7 units
The radius of the sphere is 7 units