Answer:
A and E
Step-by-step explanation:
...
Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.
What is cartesian plane?A two-dimensional coordinate plane called the cartesian plane is what is created when the x- and y-axes cross. The origin is the place where the x-axis and y-axis meet perpendicularly.
A pair of perpendicular lines connect to create the cartesian plane, a two-dimensional coordinate plane. The term "Y-axis" refers to the vertical line, whereas "X-axis" refers to the horizontal line. The Cartesian coordinate point (x, y) indicates that the point's horizontal and vertical distances from the origin, respectively, are x and y, respectively. If x has a positive sign, the point will be to the right of the origin.
Given, Arionna needed to graph triangle PQR reflected across the y-axis.
Arionna’s Work:
Blue right-arrow red. P (3,7) right arrow P prime (3, negative 7). Q (0, 4) right-arrow Q prime (0, 4). R (5, 8) right-arrow R prime (negative 5, 8).
Reflection across y axis
(x , y) becomes ( - x , y)
P ( 3 , 7) P ' ( 3 , -7) The correct solution should have been ( -3 , 7),
Q ( 0 , 4) Q' ( 0 , 4) This is correct,
R (5 , 8) R' (-5 , 8) This is correct,
Arionna was unable to determine P's proper point. Not the y-value, but the x-value should have been negated instead.
The graph of Arionna
The points of a red triangle on a coordinate plane are (-7, 3), (-5, 8), and (0, 4).
When graphing P"s coordinates (3, -7), Arionna reversed their order.
A blue triangle has points (0, 4), (3, 7), (5, 8).
Hence Arionna Graph is attested in image.
Learn more about cartesian plane;
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What is the midpoint of the segment with endpoints (4,1) and (-1,6)
Answer:
( 1.5 , 3.5 )
Step-by-step explanation:
Answer:
(3/2, 7/2)
Step-by-step explanation:
We find the mean (average) of 4 and -1, obtaining 3/2 by combining 4 and -1 and then dividing the result by 2. Thus, the x-coordinate of the midpoint is xm = 3/2.
Similarly, we find the mean of 1 and 6, obtaining ym = 7/2.
Thus, the midpoint is (3/2, 7/2).
The shorter leg of a right triangle is 9 ft shorter than the longer leg. The hypotenuse is 9 ft longer than the long leg. Find the sides of the triangle
Answer and Step-by-step explanation:
|\
| \
| \
| \
| \
| \ 9 + x
x - 9 | \
| \
| \
| \
| \
|_____________\
x
That is your triangle.
Now, since its a right triangle, we can use the Pythagorean theorem to solve for x.
The equation for the Pythagorean theorem is this: [tex]A^{2} + B^{2} = C^{2}[/tex]
So we plug in the values.
[tex](x^{2} ) + (x-9)^{2} = (x + 9)^{2}[/tex]
We solve for x.
[tex]x^{2} + x^{2} -18x + 81 = x^{2} + 18x + 81[/tex]
Get everything to the left side of the equation. (x^2 + x^2 = 2x^2, - x^2 = x^2;
-18x - 18x = -36x; 81 - 81 = 0)
[tex]x^{2} -36x = 0[/tex]
Add 36x to both sides, then divide by x.
[tex]x^{2} = 36x\\\\x = 36[/tex]
Shortest Leg = 36 - 9 = 27
Longest Leg = 36
Hypotenuse = 45
#teamtrees #WAP (Water And Plant)
60 POINTS + BRAINLIEST
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
why do the delete my answer
If the graph of a line goes from the upper left corner of the graph to the lower right corner what can you say about its slope ?
Answer: You can say that the slope is negative since the graph is decreasing.
Step-by-step explanation:
2) Of 320 million people in the United States, about 224 million take at least one type of prescription drug. What percent take at least one type of prescription drug?
Please show work
See attached picture
Answer:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 8 - x^2[/tex]
Required
Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]
First, we calculate f(x + h)
[tex]f(x) = 8 - x^2[/tex]
[tex]f(x+h) = 8 - (x+h)^2[/tex]
[tex]f(x+h) =8- x^2-2xh-h^2[/tex]
So, we have:
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
Given f(x)=x^3-2, find the equation of the secant line passing through (-4,f(-4)) and (2,f(2))
Given:
The function is
[tex]f(x)=x^3-2[/tex]
The secant line passing through (-4,f(-4)) and (2,f(2)).
To find:
The equation of the secant line.
Solution:
We have,
[tex]f(x)=x^3-2[/tex]
At x=-4,
[tex]f(-4)=(-4)^3-2[/tex]
[tex]f(-4)=-64-2[/tex]
[tex]f(-4)=-66[/tex]
At x=2,
[tex]f(2)=(2)^3-2[/tex]
[tex]f(2)=8-2[/tex]
[tex]f(2)=6[/tex]
The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-66)=\dfrac{6-(-66)}{2-(-4)}(x-(-4))[/tex]
[tex]y+66=\dfrac{6+66}{2+4}(x+4)[/tex]
[tex]y+66=\dfrac{72}{6}(x+4)[/tex]
On further simplification, we get
[tex]y+66=12(x+4)[/tex]
[tex]y+66=12x+48[/tex]
[tex]y=12x+48-66[/tex]
[tex]y=12x-18[/tex]
Therefor, the equation of the secant line is [tex]y=12x-18[/tex].
I need help! This is due in 30 minutes!!!
Answer:
It's supplementary
Step-by-step explanation:
They both create 180 degrees when added together because they ar both on a single line.
Answer:
Supplementary angle
Step-by-step explanation:
how many solutions does x² – 36 = 0 have?
Answer:
2 solutions
Step-by-step explanation:
x2=36
x= positive or negative 6 so 2
if my answer helps please mark as brainliest.
Answer:
2
Step-by-step explanation:
x
2
−
36
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
0
, and
c
=
−
36
into the quadratic formula and solve for
x
.
0
±
√
0
2
−
4
⋅
(
1
⋅
−
36
)
2
⋅
1
Simplify.
x
=
±
6
The final answer is the combination of both solutions.
x
=
6
,
−
6
The population of a town is increasing by 2% each year. The current population is 12,000. How many people will there be in 4 years?
Answer:
12989 people
Step-by-step explanation:
f(x)=a(1+r)^x
a= the amount you start with
r=is the rate that it is growing
x= time intervals
12000(1+0.02)^4=12989
The problem is as follows:
What is the perimeter of this shape?
14 3/5
12 4/5
10 2/5
10 2/5
8 1/2
4 1/2
First I changed all the denominators to 20, as that’s the LCM of all these fractions. Then I added like normal and came up with this answer:
58 71/20
Then I simplified and got
58 9/10
My test says that this is incorrect and that the whole number is actually 61 and the fractional part is actually something else. What did I do wrong when figuring out this problem? Thanks for the help.
A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.
Answer:
$5350
Step-by-step explanation:
2/3 - 3/5, simplifiy
Answer:
1/15
Step-by-step explanation:
decimal 0.06
if correct plz mark as brainliest
thank you
19NBoli
Answer:
that would half to equal 0.066
Step-by-step explanation:
I need this answer ASAP I will make first person to answer brainleist
Answer:
[tex]\frac{m}{3}[/tex] + 549.33
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] of the total earnings m subtracted by the lunch money and added by what they earned last week.
What is 23% over a 100
Answer:
0.0023 or 23 / 10000
Step-by-step explanation:
23% = 0.23
0.23 / 100 = 0.0023
Answer:
23
Step-by-step explanation:
anything over 100 s a percent
like 15/100 is 15%
At 186282 miles per second, how far does light travel in a year? Give your answer in miles, but use scientific notation, which expresses a number like 93400000 as 9.34 × 107 (which might appear on your calculator as 9.34 E7 instead). A year is approximately 365.25 days. pleaasseeeeee heeelelpepepel,
Answer:
Use dimensional analysis to answer each of the following questions. To find the distance light travels in a year for part a, convert sec to yr by using unit ratios with min, hr, and days in their denominators. Thus, a light year is approximately 5,874,589,152,000 mi
The number of miles that the light covers in a light year will be 5.89 × 10¹² miles.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
At 186282 miles per second.
We know that in one light year, the number of seconds will be 31.536 × 10⁶.
Then the distance is given as,
186282 = d / (31.536 × 10⁶)
d = 31.536 × 10⁶ × 186282
d = 5.89 × 10¹² miles
The number of miles that the light covers in a light year will be 5.89 × 10¹² miles.
More about the speed link is given below.
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Which set of ordered pairs represents a function?
o {(-7, -1), (7, -1), (-9,3), (–9, 2)}
{(3,5), (7,9), (4,4), (3,3)}
O {(3,-2), (-7,6), (-5, -8), (3, -6)}
O {(0,2), (-9,7), (-6, -1), (-2,2)}
Answer:
The final set of ordered pairs represents a function.
Step-by-step explanation:
Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.
Please help asap! (the question is on the picture)
Answer:
the answer is 3
explanation:
3x+6/9= 3*7+6/9= 27/9 =3
Please help I am giving brainliest!
Answer:14 i think
Step-by-step explanation:
you have 2 possibilitys first one is 13 and the second one is 14 but im going to go with 14
=====================================================
Work Shown:
Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.
Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.
Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).
Segment FD is ED-BC = 17-10 = 7 units long.
Let's apply the pythagorean theorem to find the hypotenuse CD
a^2 + b^2 = c^2
(CF)^2 + (FD)^2 = (CD)^2
(12)^2 + (7)^2 = (CD)^2
144 + 49 = (CD)^2
193 = (CD)^2
(CD)^2 = 193
CD = sqrt(193)
CD = 13.8924439894499 approximately
CD = 14
When rounding to the nearest whole number, segment CD is approximately 14 units long.
The elevation of a bird was 23 m. The bird flew over to a branch to rest. It's elevation changed by -14.5 m. What is it's new elevation? Label
Answer:
8.5m
Step-by-step explanation:
Two functions are defined by these equations: f(x) = 5.1 + 0.8x g(x) = 3.4 + 1.2x Which function has a greater value when x is 3.9? How much greater?
Step-by-step explanation:
Two functions are defined by these equations:
f(x) = 5.1 + 0.8x
g(x) = 3.4 + 1.2x
Put x = 3.9 in both f(x) and g(x).
f(x) = 5.1 + 0.8(3.9)
= 8.22
g(x) = 3.4 + 1.2(3.9)
= 8.08
So, f(x) is greater than g(x).
f(x)-g(x) = 8.22 - 8.08
= 0.14
So, f(x) is 0.14 units more than g(x).
Martha has 2 red beads for every 5 yellow beads on her necklace. If Martha has
18 fewer red beads than yellow beads, then how many yellow beads does she
have?
Answer:
30 yellow beads
Step-by-step explanation:
there is a difference of three beads if there are 5 yellow beads per 2 red beads. You're looking for a combination of numbers with a difference of 18. divide 18 by three, and you get 6. multiply 6 by each of the 2 numbers 2 and 5, to get 12 and 30. They have a difference of 18, and follow the ratio of red to yellow beads. Now just take the 30 yellow beads and give an answer
Find the distance between the two points in simplest radical form.
(3, -8) and (-2,-1)
.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.
Answer:
[tex]x=131.25[/tex]
Step-by-step explanation:
[tex]0.3x+0.65*175=0.5(x+175)[/tex]
[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)
[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)
[tex]-0.2x+113.75=87.5[/tex] (Simplify)
[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-0.2x=-26.25[/tex] (Simplify)
[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=131.25[/tex] (Simplify)
Hope this helps!
Solve.
The number line shows xx
3
ODIO
AN
1
a.
Each fourth on the number line is divided into
how many equal parts?
b. Each of these parts is what fraction of the whole?
C.
How many eighths of the whole are shaded?
d. -
X
Step-by-step explanation:
answer for d is 3 over 8....
that's all I know from the qn and can help u... sorry
Brady has a card collection with 32 baseball cards, 64 football cards, and 24 baseball cards. He wants to arrange the cards in equal piles, with only one type of card in each pile.
Margaret pays $580 per month to rent her apartment. at the beginning of the next year, the apartment complex is increasing its rent 5%. How much will Margaret pay each month to rent the apartment next year.
A $870
B $609
C $596
D $585
Please Answer This question.
Answer:
K = 15
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine x = 1/4
Cos² x = K / 16
K =?
Next, we shall determine the 3rd leg (i.e the adjacent) of the right angle triangle. This can be obtained as follow:
Sine x = 1/4
Sine x = Opposite / Hypothenus
Opposite = 1
Hypothenus = 4
Adjacent =?
Hypo² = Opp² + Adj²
4² = 1² + Adj²
16 = 1 + Adj²
Collect like terms
16 – 1 = Adj²
15 = Adj²
Take the square root of both side.
Adj = √15
Next, we shall determine Cos² x.
Adjacent = √15
Hypothenus = 4
Cos² x =?
Cos x = Adjacent / Hypothenus
Cos x = √15 /4
Square both side
Cos² x = (√15 /4)²
Cos² x = 15 / 16
Finally, we shall determine the value of K. This can be obtained as follow:
Cos² x = K / 16
Cos² x = 15 / 16
K / 16 = 15 / 16
K = 15
A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?
Answer:
120
Step-by-step explanation:
We know that 36 is 30% of total items
So our equation would be 36/? = 30/100
From there we cross multiply so 36x100 = 3600
From there, we divide 3600 by 100
Therefore, your answer is 120
4, 20, 100, 500, what’s the next number?
4, 20, 100, 500, 2500
Answer:
2500
Step-by-step explanation:
multiply by 5 every time