Which expression results in a rational number?
1
Step-by-step explanation:
it will give u the correct number of it
Answer:
3) [tex]\sqrt{2}[/tex]·[tex]\sqrt{8}[/tex]
Step-by-step explanation:
[tex]\sqrt{2}[/tex]·[tex]\sqrt{8}[/tex]= [tex]\sqrt{16}[/tex]=4 (rational number)
Item 3 Find the distance from the point (-2,6) to the line y=x-8 . Round your answer to the nearest tenth
Answer:
16 units
Step-by-step explanation:
The distance of the point P ( -2 , 6 ) to the line y = x - 8 is given by the equation D = 8√2 units = 11.3 units
What is the distance from the point to a line?The shortest distance between any two points on an infinite straight line is called the distance from a point to a line. The length of the line segment connecting the point to the closest point on the line is the perpendicular distance between the point and the line.
Let the equation of line be = Ax + By + C = 0
Let the point be P ( x₀ , y₀ )
Distance of a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )
Given data ,
Let the distance be represented as D
Now , let the point be P = P ( -2 , 6 )
Let the equation of line be A
The value of A is
y = x - 8
Subtracting y on both sides of the equation , we get
x - y - 8 = 0 be equation (1)
Now , Distance from a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )
Substituting the values in the equation , we get
Distance from a point to line D = | 1 ( -2 ) + ( -1 ) ( 6 ) - 8 | / √ ( 1² + 1² )
On simplifying the equation , we get
Distance from a point to line D = | -2 - 6 - 8 | / √2
Distance from a point to line D = | -16 | / √2
Distance from a point to line D = 16/√2
Multiply the numerator and denominator of the fraction by √2 , we get
Distance from a point to line D = 16√2 / 2
Distance from a point to line D = 8√2 units
Hence , the distance is 8√2 units = 11.3 units
To learn more about distance from a point to line click :
https://brainly.com/question/21096072
#SPJ2
What is an equation for the line that passes through the coordinates (-1,2) and (7,6) ?
Answer: y =1/2x + 5/2
Step-by-step explanation: you have to use the slope formula y = mx + b to find the equation between those two points
Which of the following expressions represents the statement “One half the sum of x and y”?
a. 0.5(x=y)
b. 1/2(x+y)
c. x+y/2
The expression 1/2(x + y) is representing one-half the sum of x and y option (b) 1/2(x+y) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
“One-half the sum of x and y”
Here x and y are the real numbers.
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The sum of the x and y is (x + y)
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
One-half the sum of x and y = 1/2(x + y)
Thus, the expression 1/2(x + y) is representing one-half the sum of x and y option (b) 1/2(x+y) is correct.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Kristy asks Lonnie to think of a number add it with 3 to it multiply the sum by 2 and the subtract 6. let (n) stand for Lonnies starting number. which expression represents Lonnies final number
Answer:
2(n + 3) - 6 is the expression that represents the final number.
Step-by-step explanation:
Answer: the expression becomes 2(x +3) - 6.
Let the number be x. Then according to the question,
Step 1 :- Adding 3
=> x + 3
Step 2 :- Multiply the sum by 2
=> 2×(x + 3)
Step 3 :- Subtract 6
=> 2(x +3) - 6
Thus the expression becomes 2(x +3) - 6.
help please !!!! algebra question !!!
Answer:
it depends on the value of x
Step-by-step explanation:
Eg. if x = 1
then, 3(1) < 4
and if, x = 2
then, 3(2) > 4
hope this helps
Jolene is making a line graph showing that the cost of grain is proportional to the number of pounds purchased. Jolene will plot the number of pounds on the x-axis and the cost in dollars on the y-axis. The coordinates Jolene graphs are shown in the table.
Which coordinate represents the unit rate, in dollars per pound of grain, and why?
Pounds Cost (in dollars)
1.0 0.25
4.0 1.00
Create an equation to represent the cost, y, in dollars, for x pounds of grain.
Answer:
a. [tex](1,0.25)[/tex]
b. [tex]y = 0.25x[/tex]
Step-by-step explanation:
Given
The data in the table
Solving (a): The coordinate that represents the unit rate
The unit rate is when its 1 pound
This is so because the unit rate is dollars per pounds.
Hence, the coordinate is [tex](1,0.25)[/tex]
Solving (b): Equation of the graph
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,0.25)[/tex]
[tex](x_2,y_2) = (4,1.00)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{1.00 - 0.25}{4 - 1}[/tex]
[tex]m = \frac{0.75}{3}[/tex]
[tex]m = 0.25[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 0.25 = 0.25(x - 1)[/tex]
[tex]y - 0.25 = 0.25x - 0.25[/tex]
Make y the subject
[tex]y = 0.25x[/tex]
Hence, the equation of the graph is: [tex]y = 0.25x[/tex]
What is the value of the expression below?
-8+19+8
0
11
19
35
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
b) The perimeter of the rectangle below is 42cm. Calculate the
lengths of the sides by forming an equation and solving it.
x-2
x + 5
Answer:
L = 14 W = 7
Step-by-step explanation:
2L + 2W = P
2 (x - 2) + 2(x + 5) = 42
2x - 4 + 2x + 10 = 42
4x + 6 = 42
-6. -6
4x = 36
x = 9
9 - 2 = 7
9 + 5 = 14
Finish the equation below to create a line that passes through the given points.
Determine the equation of a line that passes through the points (4, 3) and (8, 5). Can you do this without a graph?
Answer: y = 1/2x + 1
Step-by-step explanation:
a) Write 2350 million in standard form.
b) Write 25 * 10^6 in standard form.
a) We can write 23,50,000,000 as 2350 million in standard form.
b) 25,000,000. c) The number 9 × 10⁴ is a square number.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
a) We have to write 2350 million in standard form.
⇒ 23,50,000,000
b) We have to write 25 × 10⁶ in standard form.
⇒ 25,000,000
c)
A. 4 × 10⁵ = 4,00,000
B. 9 × 10⁴ = 90,000 = 3² × (10²)²
This number is a square number.
C. 4 × 10³ = 4,000
D. 9 × 10³ = 9,000
Learn more about the number system here:
https://brainly.com/question/21751836
#SPJ2
The Alien Enemies Act of 1798 allowed the president to deport noncitizens considered dangerous. allowed the president to ignore laws he believed unconstitutional. made immigrants wait longer before becoming citizens. made it a crime to criticize the federal government.
Answer: Allowed the president to deport noncitizens considered dangerous.
Step-by-step explanation:
The Alien Enemies Act was part of the Alien and Sedition Acts which were passed through Congress by the Federalist party under President John Adams during a time when they feared going to war with France. These acts were meant to prevent support of the French amongst immigrants who habored French sentiments.
The Alien Enemies Act gave the President the power to arrest and then deport noncitizens of the US or rather citizens of other countries that the US were at war with as they were considered dangerous.
Answer:
its a
Step-by-step explanation:
If I go out to eat and my food is $20.98 and the tax is 8.6% and I give the waiter a 15% tip how much would it be all together?
Who ever answers fastest and correctly I will make brainliest
Please answer ASAP
Which ordered pair is a solution of the equation?
-x– 4y = -10
Answer:
D - Neither
Step-by-step explanation:
I did the problem :)
Answer:
D. Neither
Step-by-step explanation:
Got it right on Khan Academy
how many feet are in 508 cm ?
Answer:
16.7
Step-by-step explanation:
30.48cm = 1 foot
508/30.48= 16.6667
round up to 16.7
I mow 6 lawns in 4 hours. How many lawns can I mow in 20 hours
Answer
30
Step-by-step explanation:
It would be 30 because you can mow 6 in 4 hours you would multiply 6x5 because 4x5 is 20 and that's the total hours.
1.) -27x(-39) please answer I need the answer NOW*
Answer:
1,053
Step-by-step explanation:
Use a Calculator
Ganesh is making a scale model of the Space Needle in Seattle, Washington. The space needle is 605 feet tall. If the model is 1/100 the actual size of the Space Needle, how tall is the model? _____ feet
Answer:
[tex]Model = 6.05ft[/tex]
Step-by-step explanation:
Given
[tex]Space\ Needle = 605ft[/tex]
[tex]Scale\ Model = \frac{1}{100}[/tex]
Required
Determine the height of the model.
To do this, we simply multiply the scale model by the height of the space needle.
[tex]Model = Scale\ Model * Space\ Needle[/tex]
[tex]Model = \frac{1}{100} * 605ft[/tex]
[tex]Model = \frac{605ft}{100}[/tex]
[tex]Model = 6.05ft[/tex]
Hence, the height of the model is 6.05ft
Solve: | −2n | + 10 = −50
(Find Solution)
Answer:
No Solution
Step-by-step explanation
| −2n | + 10 = −50
Subtract 10 on both sides
|-2n|+10-10=-50-10
Simplify
|-2n=|=-60
No Solution
Which rational number equals 0 point 6 with bar over 6? (5 points)
A. 2 over 3
B. 6 over 10
C. 4 over 5
D. 6 over 5
A loan is paid off in 30 years with a total of $99,000. It had a 3% interest rate that compounded monthly. What was the principal?
Answer:
The principle will be "40295.63". A further explanation is given below.
Step-by-step explanation:
The given values are:
Total amount,
A = 99,000
Rate of interest,
R = 3%
Time period,
T = 30 years
= 360 months
As we know,
⇒ [tex]A=P(1+\frac{{\frac{R}{12} }}{100} )^T[/tex]
On substituting the values, we get
⇒ [tex]99000=P(1+\frac{\frac{3}{12}}{100})^{360}[/tex]
⇒ [tex]99000=P(1+\frac{\frac{1}{4} }{100}) ^{360}[/tex]
⇒ [tex]P=\frac{99000}{(1.0025)^{360}}[/tex]
⇒ [tex]P=40295.63[/tex]
The required value of principal will be p = "40295.63".
Given,
Total amount of loan is = A = $99,000
Rate of interest = R = 3%
Time period =T = 30 years
Convert into months = 12×30
= 360 months
According to the question,
[tex]A = P ( 1+ \frac{\frac{R}{12} }{100} )^{360}[/tex]
Put the value of A = 99,000 , T = 360 , R= 3
[tex]99,000 = P [ 1+ \frac{\frac{3}{12} }{100} ]^{360} \\\\P = \frac{99,000}{(1.0025)^{360} }[/tex]
P = 40295.63
The required value of principal p = 40295.63 .
For more information about Compound interest click the link given below.
https://brainly.in/question/1128320
Solve the problem.
A die is rolled 9 times and the number of times that two shows on the upper
face is counted. If this experiment is repeated many times, find the mean for the
number of twos.
3
1.5
2.25
о
7.5
Answer:
1.5
Step-by-step explanation:
Lauren paid $16.74 for sliced turkey at the deli counter. The turkey cost $6.20 per pound. How much turkey did Lauren buy? Round to the nearest tenth if necessary
Answer:
2.7 pounds
Step-by-step explanation:
16.74/ 6.20= 2.7
Janna is measuring the dimensions of her bedroom to determine how much paint she should buy for the walls. If her measuring tape has increments of 0.01 meter, which of the following could be the length of one wall with the correct number of significant digits?
3.6
3.60
4
3.604
3.8907. y0.01 length wanna
E Gabby had dinner at her favorite restaurant and the cost of her meal is $45.00. She wants to leave a 20% percent tip. What is her total bill including tip? A 90 % B 85 %
Answer: $54.00
Step-by-step explanation:
$45.00 x .20 = $9.00
$45.00 + $9.00 = $54.00
What is the answer please :)
Answer:
your answer should be B
Step-by-step explanation:
hope you have a great day sir/ma'am
It says choose all of the multiple choice answers that are true about the diagram
Answer:
d,e, g
Step-by-step explanation:
180 degrees = supplementary
what is 15 / 3/4 10 POINT IF ITS RIGHT
Answer:
20
Step-by-step explanation:
Pete has a 15-foot ladder. The safety instructions recommend he should have the base of the ladder 6 feet from the base of the wall he will lean the ladder against. How high will the ladder reach on the wall?
whoever answers can have brainliest
Answer:
tbh i think it equals 9
Step-by-step explanation:
Answer:
13.74 because of pythagorean theorem.
Find the slope, if it exists, of the line containing the pair of points (4,−4) and (−2,−4).
Answer:
-6 is the answer of your question
