Answer:
(-7, -7)
Step-by-step explanation:
1. Let's ONLY focus on point C.
2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).
Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).
Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)Therefore, the coordinates for C' are (-7, -7).
Line L1 has gradient 2 and is perpendicular to line L2. Line L2 passes through the point P(2, 1).
Find the x-coordinate of the point where L2 meets the x-axis.
Answer:
line L1 and line L2 passes L2.
The x-coordinate of the point where L2 meets the x-axis is (1, 4).
What is the Point-slope form?The equation of the straight line has its slope and given point.
The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line (x₀, y₀) is the given point.
First is to get the slope of the known line:
The standard equation of the line
y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 so,
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (2, 1) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis;
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence, the equation of the line L2 is 2y+x = 5
Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).
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A line segment is defined by which of the following statements?
А Two rays that share a common endpoint.
B.
The set of all points that are a fixed distance from a given point.
С
All points between and including two given points.
D
A straight path connecting two points and extending infinitely in both directions.
The only given option that correctly defines a line segment is;
Option C; All points between and including two given points.
In geometry in mathematics, a line segment is defined as a part of a line that is bounded by two distinct end points.
Now, let us look at the options;
Option A; This is not correct because a line segment must have 2 distinct endpoints
Option B; This is not correct because a line segment is a part of a line and not a set of points.
Option C; This is correct because it tallies with our definition of line segment.
Option D; This is not correct because a line segment does not extend infinitely.
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just do a c e g and i
Answer:
A, 1.57
C.0.971
E.88.3
G.3.28
I.72.9
Answer:
a) 0.47÷0.3 =1.567
c)0.068÷0.07 =0.971
e)0.53÷0.006=88.333
g)3.61÷1.1=3.282
I)6.56÷0.09=73.889
(8x4)+3. What is the answer
6
Answer:
Step-by-step explanation:
Remember PEMDAS
multiply 4 and 8
32+3
add 32 and 3
35
Answer:
35
Step-by-step explanation:
Follow the steps PEMDAS
8 x 4 = 32
32 + 3 =35
35
Help lolz- Acellus Write 0.34 as a fraction using the steps below
Answer:
Step-by-step explanation:
3.1x10 = 31, and 9x10=90, so the fraction is 31/90, whcih equals 3.44444444 . . .
please explain how to solve this
(12+5i) - (9-2i)
i have answers but dont understand
Answer: 3 + 7i
Step-by-step explanation:
Equation expanded: 12 + 5i - 9 + 2i // now simplfy
12 - 9 = 3
5i + 2i = 7i
// together, we get
3 + 7i
Answer:
10i
Step-by-step explanation:
(12+5i) - (9-2i)
(17i) - (7i)
10i
Determine the x-intercept points of the function h(x) = (x – 5)(x – 6).
Answer:
(5,0),(6,0)
Step-by-step explanation:
The x-intercept occurs when h(x) = 0
∴ let 0 = (x – 5)(x – 6) [using the knowledge that for the
produc to be 0, one of terms
must be zero]
⇒ x - 5 = 0 ; x - 6 = 0 [solve for x in each case]
⇒ x = 5 ; x = 6
∴ the points of the x-intercept are (5, 0) & (6, 0)Check:
If we graph the line we can see whether the intercepts are truly (5, 0) and (6,0). As seen below in the Desmos graph, it is.
Find the value of x
Answer:
x = 8
Step-by-step explanation:
16x - 4 = 9x - 6 + 58
16x = 9x + 52 + 4
7x = 56
x = 8
Why do you subtract when money is withdrawn
Answer:
You subtract because you're taking away money when you're withdrawing.
Answer:
Because withdrawal means taking out money from a total amount of money. That is we take away.
HELP ME PLEASE PLEASE PLEASE
Answer:
#1) 3 different roots, total 6#2) 3 different roots, total 9#3) 3 different roots, total 4Step-by-step explanation:
#1The roots are:
x - 3 = 0 ⇒ x = 3, multiplicity 2x + 1 = 0 ⇒ x = -1, multiplicity 32x + 5 = 0 ⇒ x = -2.5#2The roots are:
x = 0, multiplicity 3x + 2 = 0 ⇒ x = -2x - 4 = 0 ⇒ x = 4, multiplicity 5#3The roots are:
x² - 1 = 0 ⇒ (x + 1)(x - 1) = 0 ⇒ x = -1, x = 1x² + 4x + 4 = 0 ⇒ (x + 2)² = 0 ⇒ x + 2 = 0 ⇒ x = -1, multiplicity 2Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?
Answer:
I would say A,B, or D
Step-by-step explanation:
Find the slope of each line.
А
B
с
A)
A
B)
C)
Answer:
A=b B=C C=A
Step-by-step explanation:
Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds
Answer: fixed rate mortgage
Step-by-step explanation:
Its correct
Fixed rate mortgage will be for Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds.
What is Fixed rate mortgage?A fixed rate mortgage is one in which the interest rate remains constant for the duration of the loan.
This means that the monthly payment amount remains constant, making budgeting and planning easier for borrowers.
Tanya should look for a mortgage with a low interest rate and a manageable monthly payment that fits into her budget.
A shorter loan term means a higher monthly payment but less overall interest paid over the life of the loan.
Tanya has worked out a budget that allows her to pay her mortgage while also saving for her three young children's college funds.
Thus, the answer is Fixed rate mortgage.
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Your question seems incomplete, the probable complete question is:
Tanya who's worked out a budget that allows her to pay her mortgage and save for her three young children's college funds Which Mortgage is Right?
PLEASE HELP!!
Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is the most popular. Today, he surveyed
every third female customer on their favorite milkshake flavor. Eighteen customers
(out of 60 total) were surveyed, and 7 customers
prefer MooChooChocolate, 5 customers prefer VeryStrawberry, and 6 customers prefer BananaBoBanna.
What type of sampling is demonstrated in the situation above?
A. census
B. random sampling
C. negative sampling
D.convenience sampling
Answer: random sampling
Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.
Answer: B random sampling .
Step-by-step explanation:
Find the 9th term of the geometric sequence 9, -27, 81, ...
Answer:
59049
Step-by-step explanation:
nine times negative 3 8 times
Answer:
a₉ = 59049
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 9 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-27}{9}[/tex] = - 3 , then
a₉ = 9 × [tex](-3)^{8}[/tex] = 9 × 6561 = 59049
3. Dean has these cans of soup in his kitchen cabinet: 2 tomato, 3 chicken, 2 cheese, 2 potato, 1 beef. Dean will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of beef soup both times? *
Answer:
2/20 or 0.1
Step-by-step explanation:
So we are given this data:
Tomato = 2
Chicken = 3
Cheese = 2
Potato = 2
Beef = 1
Total Chances (Sum Of All)
Total = 10
Beef is 1
To get beef soup one time it would be 1/10
what about 2 times
we can just multiply by 2*
so 1 / 10 * 2 = 2 / 20 or 0.1
The Answer would be 2/20 or 0.1
What is the relationship between the radius of a circle and its diameter?
Question 2 options:
Answer:
B
Step-by-step explanation:
Diameter is across a circle or a circular object. The Radius is half of the diameter. For example if the diamter was 6, the radius would be 3. You can always find radius by dividing the diameter by 2.
The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?
Answer:
Jennifer has the faster training rate.
Step-by-step explanation:
In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:
Choose two ordered pairs from the table: (5, 40) and (64, 8).
Let (x1, y1) = (40, 5)
(x2, y2) = (64, 8)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (8 - 5)/(64 -40)
m = 3/24 = 1/8
Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.
In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:
Let x = 40:
Patrick:
y = 1/9x
y = 1/9(40)
y = 4.44 km ⇒ This represents the distance that Patrick traveled in 40 minutes.
In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.
Therefore, Jennifer has the faster training rate.
PLEASE HELP i need this for today at 4
Step-by-step explanation:
Work out the value of x.
#12The angles are supplementary as same side interior angles, sum to 180°:
x + x - 26 = 1802x = 206x = 103#13The angles are corresponding, hence congruent:
3x - 5 = x + 553x - x = 55 + 52x = 60x = 30#14The angles are supplementary as same side interior angles, sum to 180°:
2x + 24 + x = 1803x = 180 - 243x = 156x = 52#15The angles are corresponding, hence congruent:
4x - 12 = 3x + 64x - 3x = 6 + 12x = 18#16Corresponding with the right angle:
4x + 12 = 904x = 78x = 19.5#17Vertical angle of the bottom angle is supplementary with the top angle:
2x + 12 + 3x + 23 = 1805x + 35 = 1805x = 145x = 49Answer:
It is given
4x+3y=24
We can also write it as
3y=24−4x
y=324−4x
Substituting x=0 in the given equation
y=324−4(0)
So we get
y=324
By division
y=8
Substituting x=3 in the given equation
y=324−4(3)
So we get
y=312
BY division
y=4
Gabriella swims 2 laps per minute. What is the rate unit?
laps per minute
laps
1
2
Answer:
2
Step-by-step explanation:
Answer:
Laps per minuet
Example:
You are traveling at a rate of 45 miles per hour (or mph). Determine the unit rate and the rate unit.
Solution:
45 is the numerical part of the rate, or the unit rate.
Miles per hour is the unit part of the rate, or the rate unit.
hi Help pls will mark as brainlist!!!!!!!!!
Answer:
111
Step-by-step explanation:
the answer is c)111
hop it helps
A,B & C form a triangle where BAC = 90°
AB = 11.9 mm and CA = 2.7 mm.
Find the length of BC, giving your answer rounded to 1 DP
Answer:
12.2
Step-by-step explanation:
BC = √ABsq + √CAsq
BC = √11.9sq + √2.7sq
BC = √141.6 + √7.3
BC = √148.9
BC = 12.2
Find the value of each variable.
Answer:
x=17
Step-by-step explanation:
their interior angles so they equal each other
40=2x+6
34=2x
x= 17
Which describes the range of the function?
- (05.03)
An equation is shown below:
3/2x+ 7/2=2^x
What is the solution to the equation? (4 points)
x = 1
x = 3
x = 5
X = 8
Answer: x = 3
Step-by-step explanation:
MULTIPLE CHOICE QUESTION
————————————————-
What do you do to solve for b?
Multiply 36 and 16
Subtract 36 and 16
Add 36 and 16
Divide 36 and 16
Answer:
Subtract 36 and 16
Step-by-step explanation:
16 + b^2 = 36
Subtract 16 from each side
16+b^2 -16 = 36-16
b^2 = 20
Take the square root of each side
sqrt(b^2) = sqrt(20)
b = sqrt(20)
A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.
Answer:
Solve by multiplying a scale factor of 4 to each coordinate
Step-by-step explanation:
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)
Dilation of coordinatesDilation is a transformation technique used to change the size and shape of an object on a xy-plane.
Given the following coordinate point of a figure JKLM:
J (− 12 , 16 ),
K ( − 4 , − 3 )
L ( − 2 , 16 )
M ( 1 , 0 )
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).
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Which shows where the function is decreasing?
O A only
O Conly
O C and D
O A and C
Which inequality represents the sentence?
The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29
Answer:
The difference of seven and two tenths and a number is more than twenty nine.
7.2 -n >29
Choice A
Step-by-step explanation:
help with this question
Answer:
B
Step-by-step explanation:
the roots are the x-values where the graph intersects the x-axis. to find the roots replace y with 0 and solve for x