Answer: assuming g(x) is the inverse of f(x)
domain of g(x) = range of f(x)
range of g(x) = domain of f(x)
Find the coordinate of K' after a reflection of the triangle about the x-axis. Write your answer in the form (a,b)
Answer:
K = (3,3)
After a reflection across the x axis (Vertical reflection), the coordinate becomes (3, -3)
Let me know if this helps!
Answer
(3, -3)
I'm pretty sure that's the answer, because reflecting the shape along the x-axis would mean having to reflect it horizontally. Once you do that, you'll find that the point K would meet its destination at (3, -3).
I don’t really understand this
Answer
pretty sure its a or c, sorry I cant be more specific
Step-by-step explanation:
The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?
To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b
The dimension of the 4 rectangles are:
a. length: 4x and width: 4
b. length: 11 and width: x
c. length: 2 and width: 8x
d. length: 16x and width: 1
The area of a rectangle is:
[tex]Area = Length \times Width[/tex]
Rectangle (a)
[tex]Area = 4x \times 4[/tex]
[tex]Area = 16x[/tex]
Rectangle (b)
[tex]Area = 11 \times x[/tex]
[tex]Area = 11x[/tex]
Rectangle (c)
[tex]Area = 2 \times 8x[/tex]
[tex]Area = 16x[/tex]
Rectangle (d)
[tex]Area = 16x \times 1[/tex]
[tex]Area = 16x[/tex]
Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.
Hence, the rectangle with a different area is rectangle (b).
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The amount of money lana earns for tutoring is proportional to the time she spends tutoring. She earns $24 for tutoring 1 1/2 hours. what is the constant of proportionality for the relationship between dollars earned and number of hours?
Answer:
y=16x
Step-by-step explanation:
24=1 1/2x=3/2x
x=24*(2/3)=16
y= total money earned; x=number of hours worked
worth 10pts can someone help?
Answer:
y = -x+2
Step-by-step explanation:
The y intercept is 2
The slope is found by using 2 point
I picked (0,2) and (2,0)
m = ( y2-y1)/(x2-x1)
= ( 0-2)/(2-0)
= -2/2 = -1
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+2
y = -x+2
the width of a rectangle is 3 less than twice length. the perimeter is 51 cm . what is the length and width of the rectangle.
Answer:
[tex]length = x[/tex]
[tex]width = 2x - 3[/tex]
[tex]perimeter = 2(x + (2x - 3))[/tex]
[tex]51 = 2(3x - 3)[/tex]
[tex]51 = 6(x - 1)[/tex]
[tex]x - 1 = 8.5[/tex]
[tex]x = 9.5cm[/tex]
[tex]length = 9.5[/tex]
[tex]width = 2x - 3 = 2(9.5) - 3 = 16cm[/tex]
3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Enter
Answer:
240cm^3
Step-by-step explanation:
3cmx20cmx4cm=240cm^3
May somebody help do this please??
Answer:
a. 1 yard:3 feet
b. 3 feet:1 yard
c. Sean ran exactly a mile
Step-by-step explanation:
For a and b there are 3 feet in a yard
For c a mile is exactly 5280 feet
Answer:
A: 3 : 1
B: 1 : 3
C: less
Step-by-step explanation:
A: There are 3 feet in a yard, so feet: yard would be 3:1
For example, 21 feet equals 7 yards, 21:7 is equal to 3:1B: For every yard, there are 3 feet, so th ratio would be 1:3
For example, 4 yards equals 12 feet, 4:12 is equal to 1:3C: Sean ran 1,600 yards. To convert this into feet, multiply by 3. He ran 4,800 feet. Since 4,800 < 5,280, he ran less than a mile
Determine the value of k if 12x2 + kx/ 4x= 3x – 5.
Answer:
k = -20.
Step-by-step explanation:
Do the division:
4x ) 12x^2 + kx ( 3x
12x^2 + k/4
So k/4 = - 5
k = -20.
Solve the triangle. A = 51°, b = 14, c = 6, I'll give 20 points
Answer:
Step-by-step explanation:
We have that
A = 51°, b = 14, c = 6
step 1
find the value of a
Applying the law of cosines
a²=c²+b²-2*c*b*cos A
a²=6²+14²-2*6*14*cos 51-------> 126.27
a=11.2
we know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
we have
a=11.2
b=14
c=6
so
(a+b) > c-------------> (11.2+14)=25.2
25.2 > 6-----> is not correct
therefore
the answer is the option
a. No triangles possible
I don't know if i am right sorry if this is wrong
Solve for b. 2/3 b + 5 = 20 - b
Answer:
b = 9
Step-by-step explanation:
Step 1: Add b on both sides (Addition Equality)
5/3b + 5 = 20
Step 2: Subtract 5 on both sides (Subtraction Equality)
5/3b = 15
Step 3: Divide both sides by 5/3 (Division Equality)
b = 9
What is the product? One-fourth times three and two-thirds
Answer:
11/12
Step-by-step explanation:
The product of One-fourth times three and two-thirds will be 1 / 2.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,
Product = ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )
Product = 6 / 12
Product = 1 / 2
Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.
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Represents the solution to the inequality -9=2/3x-7<5
Answer:
-3=x <13
Step-by-step explanation:
[tex] - 9 = \frac{2x}{3} - 7 < 5[/tex]
Multiply through by 3
[tex] - 27 = 2x - 21 < 15[/tex]
Add 21 to all sides
[tex] - 6 = 2x < 36[/tex]
Divide through by 2
[tex] - 3 = x < 18[/tex]
The solutin set is
[tex]{- 3 = x < 18}[/tex]
You weigh six packages and find the weights to be 28, 22, 52, 25, 49, and 46 ounces. If you include a package that weighs 142 ounces, which will increase more,
the median or the mean?
A. The median and mean are affected the same amount.
OB. The median and the mean will stay the same.
C. The median increases more.
D. The mean increases more.
Answer:
chk photo
Step-by-step explanation:
Find the value of x. A. 74 B. 244 C. 52 D. 64
Answer:
Step-by-step explanation:
The formula you need to solve for angle x is:
∠x = 1/2(large arc - small arc)
We have enough info to find what we need to solve for the arcs. 58° is an inscribed angle. The rays of the angle cut off an arc on the circle and that arc measure is twice the measure of the angle. So the smaller arc is 58 * 2 = 116. Since around the outside of the circle measures 360°, then the larger arc measures 360 - 116 = 244. So the larger arc is 244. Filling in the formula to solve for the angle x:
∠x = 1/2(244 - 116) and
∠x = 1/2(128) so
∠x = 64
D is your answer.
Answer:
D.) 64
Step-by-step explanation:
I got it correct on founders edtell
PLEASEEE HELP!!
___ + 42= -18
and
-56+___=-84
i will give brainlist plus 50 points!!!!!
Answer:
-60 and -28
Step-by-step explanation:
-60 + 42= -18
CHECK:
-42-18=-60
-56+-28=-84
CHECK:
-84+28=-56
Hope this helps <3 Need thanks? Comment /hearthelp
Answer:
-60
-28
Step-by-step explanation:
x +42 = -18
Subtract 42 from each side
x+42-42 = -18-42
x = -60
-56 +y = -84
Add 56 to each side
y = -84+56
y = -28
Factor as the product of two binomials. 81+18x+x^2
Answer:
(x+9)(x+9)
Step-by-step explanation:
To factor this expression, we first need to put into standard form, that is, [tex]ax^2 + bx + c[/tex].
So it becomes [tex]x^2 + 18x + 81[/tex]
Now we need to find two numbers that:
A. When multiplied get us c (81)
B. When added get us b (18)
9 and 9 match those requirements, so out product of two binomials for this becomes (x+9)(x+9).
Hope this helped!
In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in the simplest radical form. The question is multiple choice and the choices are below. A. 20[tex]\sqrt{2}[/tex] ft B. 10 ft C. 20 ft D. 10 [tex]\sqrt{2}[/tex] ft
Answer: D [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
It says that the measure of angle B is 45 degrees. So if we were to put in 45 degrees we could see that is is opposite AC and BC which we needs to find is the hypotenuse. So since we know the opposite of angle B is 10 ft we can using that to find the length of BC. Opposite hypotenuse is the sine function so we will use it to calculate the length of BC.
sin(45) = [tex]\frac{10}{BC}[/tex] multiply both sides by BC
BC sin(45) = 10 divide both sides by sin(45)
BC = [tex]\frac{10}{sin(45)}[/tex]
BC = [tex]10\sqrt{2}[/tex]
Answer:
[tex]\huge\boxed{Option\ D : \ BC = 10\sqrt{2}\ ft }[/tex]
Step-by-step explanation:
Since it's a right angled triangle, We'll use trigonometric rations.
Given that m∠B = 45°
So,
Sin B = opposite / hypotenuse
Where m∠B = 45°, opposite = 10 ft and hypotenuse = BC
Sin 45 = 10 / BC
[tex]\sf \frac{\sqrt{2} }{2} = \frac{10}{BC}[/tex]
BC = 20 / √2
Multiplying and Dividing by √2
BC = 20√2 / √(2)²
BC = 20 √2 / 2
BC = 10√2 ft
A silver chain has 100 links. Each link is made of thin silver wire and is in the shape of a circle of radius 2,5 cm. Find the value of the chain if the silver wire costs 6 cents per centimetre ( Use 3,14 for π )
Number of links = 100
Shape of each link = Circle
Radius = 2.5
Area = πr²
= 3.14×2.5×2.5
= 19.625
Now for 100 links
19.625×100
1962.5Cm²
Cost = 1962.5 × 0.06
= $117.75
Must click thanks and mark brainliest
If each link is made of thin silver wire and is in the shape of a circle of radius 2.5 cm, the value of the silver chain is $94.20.
To find the value of the silver chain, we need to calculate the total length of the silver wire used in making the chain and then multiply it by the cost per centimeter.
Each link in the chain is a circle with a radius of 2.5 cm. The circumference of a circle can be calculated using the formula 2πr, where r is the radius.
In this case, the circumference of each link is:
Circumference = 2 * 3.14 * 2.5 cm = 15.7 cm
Since there are 100 links in the chain, we multiply the circumference of each link by 100 to get the total length of the silver wire used:
Total length = 15.7 cm/link * 100 links = 1570 cm
Now, we can calculate the value of the chain by multiplying the total length of the silver wire by the cost per centimeter:
Value of the chain = 1570 cm * $0.06/cm = $94.20
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Drag each tile to the correct box.
Answer:
The order is 4) → 5) → 6) → 7) → 2) → 1) → 3)
Please find diagram with the arrangements
Step-by-step explanation:
The horizontal width of an hyperbola
For
1) [tex]\dfrac{(y - 11)^2}{7^2} -\dfrac{(x - 2)^2}{6^2} = 1[/tex]
h = 2, k = 11
The widths are;
Horizontal (h - a, k) to (h + a, k) which is (2 - 7, 11) to (2 + 7, 11) = 14 units wide
(h, k - b) to (h, k + b) which is (2, 11 -6) to (2, 11 + 6) = 12 units wide
2)
[tex]\dfrac{(y - 1)^2}{5^2} -\dfrac{(x - 7)^2}{12^2} = 1[/tex]
h = 7, k = 1
(h - a, k) to (h + a, k) which is (7 - 5, 1) to (7 + 5, 1) = Horizontal width 10 units wide
(h, k - b) to (h, k + b) which is (7, 1 -12) to (7, 1 + 12) = 24 units wide
3) [tex]\dfrac{(x - 6)^2}{6^2} -\dfrac{(y + 1)^2}{3^2} = 1[/tex]
h = 6, k = -1
a = 8, b = 3
The widths are;
(6 - 8, -1) to (6 + 8, -1) Horizontal width = 16
(6, -1 - 3) to 6, -1 + 3) width = 6
4) [tex]\dfrac{(x - 4)^2}{2^2} -\dfrac{(y + 2)^2}{5^2} = 1[/tex]
h = 4, k = -2, a = 2, b = 5
(4 - 2, (-2)) to (4 + 2, (-2)) Horizontal width = 4
(4, -2 - 5) to (4, -2 + 5) width = 10
5) [tex]\dfrac{(y + 5)^2}{2^2} -\dfrac{(x + 4)^2}{3^2} = 1[/tex]
h = -4, k = -5, a = 2, b = 3
(-4 - 2, (-5)) to (-4 + 2, (-5)) Horizontal width = 4
(-4, -5 - 3) to (4, -5 + 3) width = 6
6) [tex]\dfrac{(y + 1)^2}{2^2} -\dfrac{(x - 1)^2}{9^2} = 1[/tex]
h = 1, k = -1, a = 2, b = 9
(1 - 2, (-1)) to (1 + 2, (-1)) Horizontal width = 4
(1, -1 - 9) to (1, -1 + 9) width = 18
7) [tex]\dfrac{(x + 7)^2}{4^2} -\dfrac{(y - 9)^2}{9^2} = 1[/tex]
h = -7, k = 9, a = 4, b = 9
(-7 - 4, 9) to (-7 + 4, 9) Horizontal width = 8
(-7, 9 -9) to (-7, 9 + 9) width = 18
a 4 1/2 hamburger patty has 25 1/2 grams of protein,and 6 ounces of fish had 32 grams of protein
Answer: 4.5 oz/25.5 g = 1 oz/X g
Step-by-step explanation: Crossed multiplies to solve for X.
“The probability that you are given a car for your birthday.”
is that a conditional probability?
Answer:
No
Step-by-step explanation:
Conditional probability is an event repeating itself.
ex.) you have 3 red marbles and 4 blue ones in a hat, since you already drew a red one, there is conditional probability you will draw red again. So unless you have already gotten a car for your birthday previously, you cannot classify your question as conditional probability.
if Angie’s gross pay for 21.5 hours was $282.08, what was her pay per hour?
Answer:
$13.12 per hour
Step-by-step explanation:
Take the total pay and divide by the number of hours
$282.08/21.5 hours
$13.12 per hour
Answer:
Step-by-step explanation:
21.5 hours - $282.08
1 - ?
$282.08/21.5 = $13.12
ALGEBRAIC EXPRESSION 11. Subtract the sum of 13x – 4y + 7z and – 6z + 6x + 3y from the sum of 6x – 4y – 4z and 2x + 4y – 7. 12. From the sum of x 2+ 3y 2 − 6xy, 2x 2 − y 2 + 8xy, y 2 + 8 and x 2 − 3xy subtract −3x 2 + 4y 2 – xy + x – y + 3. 13. What should be subtracted from x 2 – xy + y 2 – x + y + 3 to obtain −x 2+ 3y 2− 4xy + 1? 14. What should be added to xy – 3yz + 4zx to get 4xy – 3zx + 4yz + 7? 15. How much is x 2 − 2xy + 3y 2 less than 2x 2 − 3y 2 + xy?
Answer:
Explained below.
Step-by-step explanation:
(11)
Subtract the sum of (13x - 4y + 7z) and (- 6z + 6x + 3y) from the sum of (6x - 4y - 4z) and (2x + 4y - 7z).
[tex][(6x - 4y - 4z) +(2x + 4y - 7z)]-[(13x - 4y + 7z) + (- 6z + 6x + 3y) ]\\=[6x-4y-4z+2x+4y-7z]-[13x-4y+7z-6z+6x+3y]\\=6x-4y-4z+2x+4y-7z-13x+4y-7z+6z-6x-3y\\=(6x+2x-13x-6x)+(4y-4y+4y-3y)-(4z+7z+7z-6z)\\=-11x+y-12z[/tex]
Thus, the final expression is (-11x + y - 12z).
(12)
From the sum of (x² + 3y² - 6xy), (2x² - y² + 8xy), (y² + 8) and (x² - 3xy) subtract (-3x² + 4y² - xy + x - y + 3).
[tex][(x^{2} + 3y^{2} - 6xy)+(2x^{2} - y^{2} + 8xy)+(y^{2} + 8)+(x^{2} - 3xy)] - [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[x^{2} + 3y^{2} - 6xy+2x^{2} - y^{2} + 8xy+y^{2} + 8+x^{2} - 3xy]- [-3x^{2} + 4y^{2} - xy + x - y + 3]\\=[4x^{2}+3y^{2}-xy+8]-[-3x^{2} + 4y^{2} - xy + x - y + 3]\\=4x^{2}+3y^{2}-xy+8+3x^{2}-4y^{2}+xy-x+y-3\\=7x^{2}-y^{2}-x+y+5[/tex]
Thus, the final expression is (7x² - y² - x + y + 5).
(13)
What should be subtracted from (x² – xy + y² – x + y + 3) to obtain (-x²+ 3y²- 4xy + 1)?
[tex]A=(x^{2} - xy + y^{2} - x + y + 3) - (-x^{2}+ 3y^{2}- 4xy + 1)\\=x^{2} - xy + y^{2} - x + y + 3 +x^{2}- 3y^{2}+ 4xy -1\\=2x^{2}-2y^{2}+3xy-x+y+2[/tex]
Thus, the expression is (2x² - 2y² + 3xy - x + y + 2).
(14)
What should be added to (xy – 3yz + 4zx) to get (4xy – 3zx + 4yz + 7)?
[tex]A=(4xy-3zx + 4yz + 7)-(xy - 3yz + 4zx) \\=4xy-3zx + 4yz + 7 -xy + 3yz - 4zx\\=3xy-7zx+7yz+7[/tex]
Thus, the expression is (3xy - 7zx + 7yz + 7).
(15)
How much is (x² − 2xy + 3y²) less than (2x² − 3y² + xy)?
[tex]A=(2x^{2} - 3y^{2} + xy)-(x^{2} - 2xy + 3y^{2})\\=2x^{2} - 3y^{2} + xy-x^{2} + 2xy - 3y^{2}\\=x^{2}-6y^{2}+3xy[/tex]
Thus, the expression is (x² - 6y² + 3xy).
+
50°
50°
PLEAE help
The answer will be 80 degrees
Step-by-step explanation:
50 +50 + x = 180 (Angle sum property of a triangle)
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°[tex] \rm \large \rightarrow \: \: x \: + \: 50 \degree \: + \:50 \degree \: = \: 180 \degree[/tex]
[tex] \rm \large \rightarrow \: \: x \: + \: 100 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large \rightarrow \: \: x \: = \: 180 \degree \: - \: 100 \degree[/tex]
[tex]\rm \large \rightarrow \: \: x \: = \: 80 \degree[/tex]
Geometry, please answer question ASAP
Answer:
XY = 24
Step-by-step explanation:
In similar triangles, the corresponding sides are in same ratio.
[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]
Cross multiply,
(x + 6 )(2x-4) = 16*30
Use FOIL method
x*2x + x*(-4) + 6*2x + 6*(-4) = 480
2x² - 4x + 12x - 24 = 480 {Combine like terms}
2x² + 8x - 24 = 480
2x² + 8x - 24 - 480 = 0
2x² + 8x - 504 = 0
Divide the entire equation by 2
x² + 4x - 252 = 0
Sum = 4
Product = -252
Factors = 18 , -14 {18 +(-14) = 4 & 18*(-14) = -254 }
x² + 4x - 252 = 0
x² + 18x - 14x - 252 = 0 {Rewrite middle term}
x(x + 18) - 14(x + 18) = 0
(x + 18)(x - 14) = 0
x - 14 = 0 {Ignore x + 18 = 0 as measurement will not come in negative}
x = 14
XY = 2x - 4
= 2*14 -4
= 28 - 4
= 24
Determine whether the following polygons are similar.
Answer:
The polygons are NOT similar. The ratio of 12 to 18 equals 2 to 3, and the ratio of 26 to 32 equals 13 to 16. They're not the same, thus not similar.
Answer:
They are not similar, and the instructions says to put "None" otherwise, so...
Step-by-step explanation:
You can find this by dividing 32 by 16 to get something like 1.7777....
and dividing 26 by 12 should give the same ratio if they are similar, but it gives something like 2.1666...
Therefore they are not similar.
Congruent means two or more shapes are the same size and are similar, but for some things to be similar means that they have the same ratio, but not necessarily the same dimensions.
help me plzzzzz and ASAP. on a coordinate grid point P is at (4, 3) and point R is at (-2, -5) points Q and S are reflection of both points across the x-axis what are the coordinates of Q and S please answer correctly
Answer:
B
Step-by-step explanation:
The rules for reflecting across the x axis are just multiply the y value by -1
your answer is the second answer choice
For y axis refection, it is the same but for the x value, not the y .
Hello! can anyone help me with this question
Answer:
3
Step-by-step explanation:
m = y2 - y1 / X2 - X1
-1 is your X1 . -4 is your y1
2 is your X2 . 5 is your y2
just replace what's in the equation
m= 5 - (-4) / 2 - (-1)
m= 9 / 3
m = 3
hi there
the explanation is in the picture
AHHH PLEASE HELP MEH
Evaluate (cot90)(cos45) + sec45 exactly. No decimals allowed, rationalize if necessary
Answer: [tex]\sqrt{2}[/tex]
======================================================
Explanation:
Rewrite each trig function terms of sine and/or cosine. Then use the unit circle to find that,
[tex]\cot(90^{\circ})\cos(45^{\circ}) + \sec(45^{\circ})\\\\\frac{\cos(90^{\circ})}{\sin(90^{\circ})}\cos(45^{\circ}) + \frac{1}{\cos(45^{\circ})}\\\\\frac{0}{1}*\frac{\sqrt{2}}{2} + \frac{1}{(\sqrt{2})/2}\\\\\frac{2}{\sqrt{2}}\\\\[/tex]
Now rationalize the denominator
[tex]\frac{2}{\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{2\sqrt{2}}{\sqrt{2*2}}\\\\\frac{2\sqrt{2}}{\sqrt{4}}\\\\\frac{2\sqrt{2}}{2}\\\\\sqrt{2}[/tex]
Which is the exact value of [tex]\sec(45^{\circ})[/tex]
The portion [tex]\cot(90^{\circ})*\cot(45^{\circ})[/tex] evaluates to 0 and goes away.