Answer:
square root of 169 =13
Step-by-step explanation:
distance between 2 points is given by the square root of (144+25)
△ PQR has vertices P(-2, 7), Q(3, 5), and R(-6, -1).Which of the following best represents a reflection of △ PQR across the x-axis to become △ P’Q’R’?
Answer: The △PQR is reflected across the y-axis and option 2 is correct.
Step-by-step explanation:1. The reflection across the x-axis is defined as
2. The reflection across the y-axis is defined as
3. The reflection across the y=x is defined as
4. The reflection across the y=-x is defined as
It is given that the vertices of △PQR are P(1,1) , Q(−1,−2) , and R(4,−2) . The vertices of △P′Q′R′ are P′(−1,1) , Q′(1,−2) , and R′(−4,−2) .
The relation between prerimage and image is defined as
Therefore the △PQR is reflected across the y-axis and option 2 is correct.
Simplify (2^3)^–2.
A: -1/64
B: 1/64
C: 2
D: 64
Answer:
B: 1/64
Step-by-step explanation:
2^3 = 8
8^(-2)=1/(8^2)=1/64
Please help, I would appreciate it
Answer:
-5x + 8y = -21
3x - 4y = 15
8y = 5x - 21
y = 5/8x - 21/8
3x - 4y = 15
-4y = -3x + 15
y = 3/4x - 15/4
5/8x - 21/8 = 3/4x - 15/4
-1/8x = -9/8x
x = 9
3x - 4y = 15
3(9) - 4y = 15
27 - 4y = 15
-4y = -12
y = 3
(9, 3)
Answer:
(9, 3)
Step-by-step explanation:
My favorite way to solve equations like this is using a graphing calculator. For Desmos, one only needs to type the equations into the input column, click on one of them, and highlight the point of intersection to see the coordinates there.
__
The usual ways to solve these are by substitution or elimination. Another way they can be solved is using Cramer's rule, which provides a formula for the solution based on the coefficients.
ax +by = c
dx +ey = g
__
x = (bg -ec)/(bd -ea) . . . . . . note the crossing pattern of the values in the products
y = (cd -ga)/(bd -ea) . . . . . . the denominator is the same as above
__
Using these formulas, we get ...
x = (8(15) -(-4)(-21))/(8(3) -(-4)(-5)) = (120 -84)/(24 -20) = 36/4 = 9
y = (-21(3) -15(-5))/4 = (-63 +75)/4 = 12/4 = 3
The solution is (x, y) = (9, 3).
Doing the same by elimination involves the same amount of math and a lot more writing.
Round 0.6 to the nearest thousandth.
Answer:
0.600
Step-by-step explanation:
Simplify (2^3)^–2.
A: -1/64
B: 1/64
C: 2
D: 64
What are the next three terms in the sequence??
30, 31, 34, 39, ...
Step-by-step explanation:
5th one = 39 + 7 = 46
6th one = 46 + 9 = 55
7th one = 55 + 11 = 66
they're increasing in odd numbers 1,3,5,7,9,11 so I added em to the numbers^^
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(negative 3, 6), B(2, 9), and C(1, 1)
Note: Consider we need to find the vertices of the triangle A'B'C'
Given:
Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.
Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).
To find:
The vertices of the triangle A'B'C'.
Solution:
If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex]A(-3,6)\to A'(6,3)[/tex]
[tex]B(2,9)\to B'(9,-2)[/tex]
[tex]C(1,1)\to C'(1,-1)[/tex]
Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).
please help! !!!!!!!!!
Answer:
D. 3x - 7 = 8
I hope this helps!
Step-by-step explanation:
3x - 7 = 8
3x =8 +7
3x = 15
x =5
PLEASE HELP ME
Solve for x: |2x + 12| = 18
x = 3, x = −3
x = 3, x = −15
x = 15, x = −15
x = −3, x = 15
Answer:
x = 3 x = -15
Step-by-step explanation:
|2x + 12| = 18
There are two solutions to an absolute value equation, one positive and one negative
2x+12 = 18 2x+12 = -18
Subtract 12 from each side
2x+12-12 = 18-12 2x+12-12 = -18-12
2x = 6 2x = -30
Divide by 2
2x/2 = 6/2 2x/2 = -30/2
x = 3 x = -15
1 2.2.5 Quiz: Solving Problems by Dividing Fractions
Question 2 of 5
It takes Kirsten hour to weed the garden. How much of
the garden will be weeded after hour?
Choose the model that correctly illustrates the problem:
two water tanks release at the same time water tank a holds 6000 gallons of water and water is released from the fish tank at a rate of 2 gallons per minute water tank behold 8250 gallons of water and water is released at the rate of 3 gallons per minute after how many minutes will the Two Gallants hold the same amount of water
After t minutes, Tank A contains
6000 gal - (2 gal/min) t
while Tank B contains
8250 gal - (3 gal/min) t
The two tanks hold the same amount of water when these quantities are equal. Solve for t :
6000 gal - (2 gal/min) t = 8250 gal - (3 gal/min) t
(1 gal/min) t = 2250 gal
t = (2250 gal) / (1 gal/min) = 2250 min
All irrational numbers are real numbers.
True False
Answer:
true
Step-by-step explanation:
every number is a real number
4 students is blank% of 20 students?
Answer:
4 students is 20% of 20 students.
Step-by-step explanation:
We can say that 20 students represent 100% and that 4 students represent x% of all students. Then we can use the proportion: 20 : 4 = 100 : x, or 20 / 4 = 100 / x. Then we will cross multiply: 20 x = 4 * 100, 20 x = 400, x = 400 : 20 , x = 20 %. Also we can say that 4 = 1/5 * 20 and 1/5 * 100 = 20 %
4 students are 20 percent of 20 students.
What is the percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
We can say that 20 students represent 100% and that 4 students represent x% of all students.
Thus, we can use the proportion:
20 : 4 = 100: x, or 20 / 4 = 100 / x.
cross multiply
20 x = 4 * 100
20 x = 400
x = 400: 20
x = 20 %.
therefore, we can say that 4 students are 20 percent of 20 students.
Learn more about percentages here:
https://brainly.com/question/29306119
#SPJ2
Jacy buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount , how much is each bottle of juice?
Answer:
$0.67
Step-by-step explanation:
8.04=12x
8.04=12x
12. 12
.67=x
I need help ASAP :(((
Answer:
D
Step-by-step explanation:
1%
how to round 13 ft 4 inches to the nearest foot?
Answer:
A foot is 12 inches and 4 is closer to 0 than 12 meaning 13 ft 4 in simplified is 13 ft
Step-by-step explanation:
Explain why the function is differentiable at the given point.
f(x, y) = 5 + x ln(xy − 9), (5, 2)
Step-by-step explanation:
Given the function
f(x, y) = 5 + x ln(xy − 9) at the point (5, 2)
For the function to be differentiable at the given point, the differential of the function with respect to x and y must be continuous at the point.
Fx is the differential of the function with respect to x.
Using product rule to get f(x):
fx = 0 + x(1/(xy-9)y) + ln(xy-9)
fx = xy(1/(xy-9)) + ln(xy-9)
Substitute point (5, 2) into fx
fx = 5(2)(1/5(2)-9) + ln(5(2)-9)
fx = 10(1/(10-9)) + ln(10-9)
fx = 10(1/1) + ln1
fx = 10 + 0
fx = 10
For fy:
fy = 0 + x²(1/(xy-9))+ 0
fy = x²(1/(xy-9))
Substitute point (5, 2) into fy
fy = 5²(1/(5(2)-9))
fy = 25(1/10-9)
fy = 25(1/1)
fy = 25
Next is to calculate f(5,2)
f(5,2) = 5 + 5 ln(2(5) − 9)
f(5,2) = 5 + 5 ln(10− 9)
f(5,2) = 5 + 5 ln1
f(5,2) = 5 + 5(0)
f(5,2) = 5
Since fx ≠ fy, hence the function is not differentiable at the given point
Find the mode:2,4,6,8,4,2,2,4,6,6,4
Answer:
4
Step-by-step explanation:
Mode is the number used most often in a data set. Four shows up the most here. If there are two numbers that occur the same amount of times, they are both the mode etc.
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G
Mark this and return
Answer:Side C H
Step-by-step explanation:
Ans
C
Step-by-step explanation:
took the test made 100
what is the integration of ∫e²ⁿdx please answer as fast as possible.
Answer:
[tex]e^{2n}x + C[/tex] (since n is assumed to be a constant when integrating with respect to x)
Step-by-step explanation:
You are integrating with respect to x, but [tex]e^{2n}[/tex] has no x-terms. Thus, it is considered a constant. The integral of any constant is equal to the constant multiplied by x.
Example: the integral of 2 is 2x, since the derivative of 2x is 2.
[tex]\int {e^{2n}} \, dx = e^{2n}x + C[/tex]
If you were integrating [tex]e^{2x}[/tex] with respect to x, it would look like this:
Since...
[tex]\frac{d}{dx} (e^{ax}) = ae^{ax}[/tex]
The integral of [tex]e^{ax}[/tex] is:
[tex]\int{e^{ax}} \, dx = \frac{e^{ax}}{a} + C[/tex]
[tex]\int {e^{2x}} \, dx = \frac{e^{2x}}{2} + C[/tex]
Note: C is a constant. It can be any number.
Answer: [tex]e^{2n}x + C[/tex] (since n is assumed to be a constant)
Hello someone plz help for brainliest
Answer:
-√4. is ur ans babes ok
and h r u
pls answer this question
Answer:
firstly covert it like 7 1/4
= 4x7+1 = 29 so 29/4
Step-by-step explanation:
and then find difference by making denominators same
What is the  length of A rectangle  with width 15 and an area of 90 in ^2 
Solve the Absolute Value Equation.
|9x+1| = 46
PLS I REALLY NEED HELP! what is the range of graph!
Caculate the unit rate. $2.40 for 5 apples. What
is the cost per apple?
Answer:
$0.48
Step-by-step explanation:
2.40/5 = 0.48
The lowest point in Japan is Hachiro-Gata with an elevation of -12 feet. The lowest point in the United States is Death Valley with an elevation of -282 feet. What is the difference in elevation between Hachiro-Gata and Death Valley
Based on the graph, What is the rate of the dashed line?
A: 50
B: 65
C:80
D: 95
Answer: D 95 siguro
Step-by-step explanation:makinig ka kasi ha.
Answer:
C. 80
Step-by-step explanation:
The first point is (3, 240) Divide them and you get 80.
Graph the line passing through (-6,-2) whose slope is m=-2/3
Camie and jorge each begin saving money