You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
y = -2x + 1.5
Step-by-step explanation:
line that passes through the given points (-1,3.5),(1,-0.5), (3,-4.5)
slope (m) = (-0.5 - 3.5) / (1 - -1) = -4 / 2 = -2
(y - -4.5) / (x - 3) = -2 ... pass (3,-4.5)
y + 4.5 = -2x +6
y = -2x + 1.5
Which table of values represents a linear function?
A,B,C,D
Answer:
c as they give the line of the graph
Find the f^-1(x) and it’s domain
Answer:
[tex]f^{-1}(x) = (x + 8)^2[/tex]
[tex]x \ge -8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt x - 8[/tex]
Solving (a): [tex]f^{-1}(x)[/tex]
We have:
[tex]f(x) = \sqrt x - 8[/tex]
Express f(x) as y
[tex]y = \sqrt x - 8[/tex]
Swap x and y
[tex]x = \sqrt y - 8[/tex]
Add 8 to [tex]both\ sides[/tex]
[tex]x + 8 = \sqrt y - 8 + 8[/tex]
[tex]x + 8 = \sqrt y[/tex]
Square both sides
[tex](x + 8)^2 = y[/tex]
Rewrite as:
[tex]y = (x + 8)^2[/tex]
Express y as: [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x) = (x + 8)^2[/tex]
To determine the domain, we have:
The original function is [tex]f(x) = \sqrt x - 8[/tex]
The range of this is: [tex]f(x) \ge -8[/tex]
The [tex]domain[/tex] of the [tex]inverse[/tex] function is the [tex]range[/tex] of the [tex]original[/tex] function.
Hence, the domain is:
[tex]x \ge -8[/tex]
Would greatly appreciate the help
Answer:
Answer is E but not 100%
Step-by-step explanation:
Answer:
A is correct
E shows an error as the first two values are identical so one cannot be greater than the other.
Step-by-step explanation:
A shows 2.69 is equal to 2.696 which is more than 2.696 which is more than 2.696 which is more than 2.696
As when;
2.696 repeats in bold = 2.696969696 1st greatest
2.696 repeats in bold = 2.696696696 2nd in highest value so 2nd in order.
2.696 repeats in bold = 2.696666666 3rd in highest value so 3rd in order.
2.696 does not repeat = 2.696 so is the least greatest from the list.
What is the graph of the following parametric equation? x = sqrt(t) and y = 2t - 3
(pls include a graph answer!)
Answer:
Th final equation is [tex]Y = 2X^2 -3[/tex]
The graph is attached
Step-by-step explanation:
Given
[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)
and [tex]Y = 2t -3[/tex] --- Eq (2)
Substituting the value of "t" from Eq (1) into Eq (2), we get -
[tex]Y = 2X^2 -3[/tex]
The graph for the equation is attached here with
The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have parametric functions:
x = √t ⇒ x² = t
y = 2t—3
Plug t = x² in the other equation, we get:
y = 2x² - 3
The graph will be a parabola.
Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.
Learn more about the parametric function here:
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Please help ASAP 60 pts!
Write the equation of a circle with endpoints of the diameter at (4, -3) and (-2, 5).
Show your work for credit.
Answer:
(x - 1)² + (y - 1)² = 25Step-by-step explanation:
Find the center, the midpoint of the diameter:
x = (4 - 2)/2 = 1, this is h of the circle equationy = (-3 + 5)/2 = 1, his is k of the circle equationFind the square of the radius by distance formula:
r² = (1 - 4)² + (1 + 3)² = 25Equation of the circle:
(x - h)² + (y - k)² = r²,Substitute the values to get:
(x - 1)² + (y - 1)² = 25Answer:
solution given:
points at (4, -3) and (-2, 5
diameter [d]=
[tex]d = \sqrt{(4 + 2) {}^{2} +( - 3 - 5) {}^{2} } \\ d = 10units \\ radius(r) = 5units [/tex]
centre[h,k]={(4-2)/2,(-3+5)/2}=(1,1)
now equation of a circle
(x-h)²+(y-k)²=r²
(x-1)²+(y-1)²=25 is a required equation
4. The volume of a certain room is 2016 cubic ft. If the square footage of the
floor is 144 sq. ft., what will the height of the room be?
Answer:
The room is 14ft high
Step-by-step explanation:
Given
[tex]Volume = 2016ft^3[/tex]
[tex]Base\ Area = 144ft^2[/tex]
Required
The height of the room
This is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
So, we have:
[tex]Height = \frac{2016ft^3}{144ft^2}[/tex]
[tex]Height = \frac{2016}{144}ft[/tex]
[tex]Height = 14ft[/tex]
Which expression shows twice the sum of 8 and a number n?
Answer:
A
Step-by-step explanation:
The sum of 8 and a number n represents n + 8
Twice that sum would give us 2(n + 8)
Answer:
A. 2(n+8)
sum of 8 and number = n+8
and twice that means 2(n+8)
Find the coefficient of x^2 in the expansion of (2x - 1)^5.
Answer:
So, the coefficient of the x^2 -term is 80
Step-by-step explanation:
so we need to simplify it:
#10(x^2)(2^3) = 10(x^2)(8) = 80x^2
If you punched 1 raffle ticket, what is the probability of winning of only 10 tickets are winners and 179 total tickets were sold
Answer:
1 out of 179
Step-by-step explanation:
Please help with these questions
Answer:
...... ....... ........
Identify the smallest of the similar triangles. Then find x
Which angle is an acute angle?
A. An angle measuring 325°
B. An angle measuring 265°
C. An angle measuring 125°
D. An angle measuring 85°
Answer:
The answer is Option D
Step-by-step explanation:
Option D is the right answer since 85° is a acute angle. Acute angles are angles below 90°
Hope this helps!
Have a good day
Solve the inequality. -4x < 24
Answer:
x > -6
Step-by-step explanation:
1) Divide both sides by -4
x > - [tex]\frac{24}{4}[/tex]
2) Simplify and solve to get answer.
x > -6.
Helppppp pleSeeeeeeeee
Answer: C
Step-by-step explanation: Hope this help :D
[tex]16 \div81 \: - 3 \div 4[/tex]
please note that this is exponents
Answer:
16/81-3/4[
=[16×4-3×81]/[81×4]=-179/324 is your answer
Select the correct answer.
In a sequence described by a function, what does the notation f(3) = 1 mean?
OA.
The third term in the sequence has a value of 1.
OB.
The common difference I of the sequence is 3.
O C.
The first term in the sequence has a value of 3.
OD
The common ratio of the sequence is 3.
Answer:
c is correct
Step-by-step explanation:
Answer:
c is right answer
Step-by-step explanation:
HOPE IT HELPS U
FOLLOW MY ACCOUNT PLS PLS
Find the value of x.
B
2
X
А A
30°
5
30°
5
Answer:
the x value is 2
because the triangles are similar
i think
The value of x, that is chord CD is 2 cm.
We need to find the value of x.
What is the statement of equal chords of a circle?Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.
In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.
Hence, the value of x, that is chord CD is 2 cm.
To learn more about circle theorems visit:
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Simplify 79.5-2.58 x (3.63-1.63) to the third power
Answer:
a
Step-by-satep explanation:
can somebody help me please and thank you
1. 12/40 or 30% chance
2. 60
Explanation: 1. Not gonna lie i searched it up
2. x/200 times 12/40 = 2400/40
What is 108 divided by 8
Answer:
13.5
Step-by-step explanation:
Mark me brainliest!
Or 13 with a remainder of 5
13R5
or
13 5/8
The quotient is 13 and the remainder is 4 for the given statement.
When we divide 108 by 8, we find:
108 ÷ 8 = 13 remainder 4
The quotient is 13 and the remainder is 4.
Therefore, 108 divided by 8 is equal to 13 with a remainder of 4.
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Please Help!
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈ ____ square units
Thank you!
Step-by-step explanation:
Hello! In order to get the best explication for your question, here's the link to a useful website:
https://geometryhelp.net/area-parallelogram-diagonals/
I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it
Hope it helped!
Answer:36.7
Step-by-step explanation:
Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch. She slipped and spilled 1/4 of the lemonade in the pitcher. What fraction of a gallon of lemonade did she spill?
Answer:
Susan spilled 1/6 of a gallon of lemonade.
Step-by-step explanation:
Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:
2/3 = 0.6666
0.666666 x 1/4 = X
0.166666 = X
0.166666 = 1/6
Therefore, Susan spilled 1/6 of a gallon of lemonade.
Quadrilateral K is the image of Quadrilateral K under a dilation
Are these slopes equal? Explain if they are or if there not.
Answer:
Yes
Step-by-step explanation:
When dividing (or multiplying) two negative numbers, you end up with a positive number. The other slope is already positive. So 4/5=4/5
What is the width of a rectangle with a length of 3/8 ft and and area of
4 square feet?
A sprinkler sprays in a circular pattern at a radius of 12 meters. If the degree of the circle that
is covered is 100°, what is the area of the lawn that is covered by the water from the
sprinker? (Round to the nearest hundredth of a meter)
Answer:
The area of the lawn that is covered by the water from the sprinkler is
[tex]125.6[/tex] square meter
Step-by-step explanation:
Given
The radius of the circle is 12 m
Area of the circle is [tex]\pi r^2 = \pi * 12^2 = 144\pi[/tex]
For one complete circle, the degree of rotation is 360 degrees.
Area of lawn covered by rotation of 100 degrees only is 100/360 = 5/18
The area of the lawn that is covered by the water from the sprinkler is
[tex]\frac{5}{18} * 3.14*144 = 125.6[/tex] square meter
A right triangle has a hypotenuse of 15 cm. What is the length for the missing leg if one of the two legs of the triangle is 5?
Answer:
The other leg is 12 cm long.
Step-by-step explanation:
c
2
=
a
2
+
b
2
,
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b
=
12 cm
Answer:
14.14 cm
Step-by-step explanation:
using the Pythagorean theorem:
?² = 15² - 5² = 225 - 25 = 200
? = √200 = 14.14 cm
What is the diameter of a circle that has a radius of 7
inches?
Answer:
d=14in
Step-by-step explanation:
Solution
d=2r=2·7=14in
Hope this helped!!!
i need help please it's due today
Step-by-step explanation:
work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.
The coordinates of the following points represent the vertices of a rectangle. W: (3,3) X: (8,3) Y: (8,7) Z: (3,7) What is the perimeter, in units, of rectangle WXYZ?
Answer:
18
Step-by-step explanation:
The answer is B, 18
Answer:
The person above me is correct
Step-by-step explanation: