Answer:
Increase.
Step-by-step explanation:
Let's say p=25.
50/25=2
If p decreased and we turned the 25 into a 2, then 50/2=25.
The answer increased.
I hope this is what you were looking for!! <3
The graph of y=√X is translated 3 units to the right and slid 5 unitsdown, what would be the resulting equation?
Answer: [tex]y=\sqrt{x-3}-5[/tex]
Step-by-step explanation:
The vertex form of a square root equation is: [tex]y=a\sqrt{x-h}+k[/tex] where
a is the vertical stretchh is the horizontal shift (positive is right, negative is left)k is the vertical shift (positive is up, negative is down)Input: h = 3 (3 units right) and k = -5 (5 units down) into the vertex form:
[tex]y=\sqrt{x-(3)}+(-5)\\\\y=\sqrt{x-3}-5[/tex]
The resulting equation is: [tex]h(x) = \sqrt{x - 3} - 5[/tex]
-------------------------------
This question is solved using the translation concept.
Translating a function f(x) a units to the right is the same as finding f(x - a).Translating a function f(x) a units down is the same as finding f(x) - a.-------------------------------
Original function:
[tex]f(x) = \sqrt{x}[/tex]
-------------------------------
Translated 3 units to the right
This is f(x - 3), so:
[tex]g(x) = f(x - 3) = \sqrt{x - 3}[/tex]
-------------------------------
Translating 5 units down
This is g(x) - 5, so:
[tex]h(x) = g(x) - 5 = \sqrt{x - 3} - 5[/tex]
Which is the resulting equation.
The image at the end of this answer compared the graph of the original function, in red, with the translated, in blue.
A similar question is given at https://brainly.com/question/23630829.
Please answer ASAP. The question is down below.
Answer: 1) c 2) d
Step-by-step explanation:
Use Pythagorean Theorem to find the hypotenuse (r): x² + y² = r²
Given: x = 2, y = 6
2² + 6² = r²
4 + 36 = r²
40 = r²
[tex]\sqrt{40}=r[/tex]
[tex]\sin \theta=\dfrac{y}{r}\quad =\large\boxed{\dfrac{6}{\sqrt{40}}}\quad \rightarrow \dfrac{6}{2\sqrt{10}}\quad \rightarrow \dfrac{3}{\sqrt{10}}[/tex]
*******************************************************************************************
[tex]\sin \theta = \dfrac{opposite(y)}{hypotenuse(r)}\quad =\dfrac{12}{20}\quad \rightarrow \dfrac{3}{5}\quad \rightarrow \large\boxed{0.6}\\\\\\\cos \theta = \dfrac{adjacent(x)}{hypotenuse(r)}\quad =\dfrac{16}{20}\quad \rightarrow \dfrac{4}{5}\quad \rightarrow \large\boxed{0.8}[/tex]
The shaded figure is a rhombus.
The area of the shaded section is 60 square units. What is the value of x?
Answer:
6
Step-by-step explanation:
the value of x is 6
so the answer is 6
Answer:
answer is 8
Step-by-step explanation:
What is the equation of a line that is parallel to y=2/3x+4 and passes through the point (3,7)
Answer:
y=2/3x+5
Step-by-step explanation:
Parallel lines share the same slope so we already know the slope: 2/3.
Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.
To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.
7=2+b
5=b
Now we can put all the information we have together.
y=2/3x+5
Read the following word problem, then choose which linear equation models the problem.
One number is 10 times another number. Their difference is 54. Find the numbers.
A. x(x) - 10 = 54
B. 10x - x = 54
C. 10x + x = 54
D. 10x(x) = 54
Determine the value of x.
Answer:
B. 6sqrt(2).
Step-by-step explanation:
Since the two legs of the right triangle are congruent, this is a 45-45-90 triangle. That means that the hypotenuse will measure xsqrt(2) units, and each leg will measure x units.
In this case, x = 6.
So, the hypotenuse is B. 6sqrt(2).
Hope this helps!
The volume of the Atlantic Ocean is about 3.1⋅10173.1 \cdot 10^{17}3.1⋅10173, point, 1, dot, 10, start superscript, 17, end superscript cubic meters. The Mississippi River has an annual flow of 6.3⋅10116.3 \cdot 10^{11}6.3⋅10116, point, 3, dot, 10, start superscript, 11, end superscript cubic meters. how many times would the annual flow of the mississippi river fit in the atlantic ocean? write your final answer in scientific notation, and round to two decimal places.
Answer: The annual flow of the Mississippi river would fit in the Atlantic ocean [tex]4.92\times10^5[/tex] times.
Step-by-step explanation:
Given: Volume of Atlantic Ocean= [tex]3.1\times10^{17}[/tex] cubic meters
Annual flow of Mississippi river = [tex]6.3\times10^{11}[/tex] cubic meters.
then, the number of times the annual flow of the Mississippi river would fit in the Atlantic ocean = [tex]\dfrac{\text{ Volume of Atlantic Ocean}}{\text{Annual flow of Mississippi river}}[/tex]
[tex]=\dfrac{3.1\times10^{17}}{6.3\times10^{11}}\ \ \=0.492063492063\times10^{17-11}\ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=0.492063492063\times10^6\approx4.92\times10^5[/tex]
Hence, the annual flow of the Mississippi river would fit in the Atlantic ocean [tex]4.92\times10^5[/tex] times.
the amplitude of the graph is the midline is y =
Answer:
Amplitude of 2, midline is y=4
Answer:
y=4.
Step-by-step explanation:
I hope this helps!
What is the slope of the line segment? A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, and 5. The values on the y axis are 0, 4, 8, 12, 16, and 20. A straight line joining the ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12 and 4, 16.
Answer:
4
Step-by-step explanation:
The coordinates are: A(0,0), B(1,4), C(2,8), D(3,12), E(4,16)
Using coordinates B and D, slope = (12 - 4)/(3 - 1) = 8/2
∴ slope = 4
Answer:
4
Step-by-step explanation:
Can I get some more help
Answer:
[tex]c. \: \sqrt{9} . \sqrt{4} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \sqrt{9.4} \\ = \sqrt{9} \times \sqrt{4} [/tex]
3 ( 1 - 20 ) + 10 = 4
Answer:
3(1 - 20) + 10 = 4
3 * (-19) + 10 = 4
-57 + 10 = 4
-47 = 4
Since the two are not equal, this statement is false/invalid.
Hope this helps!
Find the value of x if 12x=34^2 - 26^2
Answer:
[tex]\boxed{\sf x =40}[/tex]
Step-by-step explanation:
[tex]\sf 12x=34^2 - 26^2[/tex]
Solve the square.
[tex]\sf 12x=1156-676[/tex]
[tex]\sf 12x=480[/tex]
Divide both sides by 12.
[tex]\displaystyle \sf \frac{12x}{12} =\frac{480}{12}[/tex]
[tex]\sf x =40[/tex]
WILL GIVE BRAINLIEST
find the value of r so that the line passes through the points (10, r) and (4, -3) and has the slope of 4/3
Answer:
r=9⅓
Step-by-step explanation:
(10,r). (4,-3)
(x¹,y¹) (x²,y²)
gradient=y²-y¹
x²-x¹
4= -3-r
3 4-10
multiply both sides by 3(4-10)to remove the denominators.
3(4-10)× 4 = -3-r ×3(4-10)
3 4-10
(4-10)×4= (3-r)×3
16-40=9-3r
put the liketerms together
note* signs(- +) change when they cross the equal sign(=)
3r=4+40-16
3r=28
divide both sides by 3
r=28/3.
r=9⅓
Best answer will be rated brainliest
Answer:
A. 6 and 30
B. 8 and 28
Step-by-step explanation:
we know that the area of the three squares must satisfy the Pythagorean Theorem so c² = a² + b²
where
c² is the area of the largest square
a² and b² are the areas of the smaller squares
now.. 36² = a² + b2
The sum of the areas of the smaller squares must be equal to 36
therefore
6 and 30 >>>> could be the areas of the smaller squares (6 + 30 = 36)
8 and 28 >>>> could be the areas of the smaller squares (8 + 28 = 36)
hope it clears your mind.
Please mark as the brainliest
David is building a bike ramp. He wants the angle that the ramp makes with the ground to be 20. If the board he wants to use for his ramp is 312feet long, about how tall will the ramp need to be at the highest point?
Answer:
it's about 106.71ft
Step-by-step explanation:
make this problem a triangle. the ramp length is 312ft, and it is the hypotenuse of the triangle. 20 is the angle between the ramp and the floor. so what I did was take the sine of 20 and get: sin(20)=x/312 then you multiply both sides by 312 to isolate the variable. multiplying sin(20) by 312 gave me 106.71 + some change idk if you're supposed to round it or not haha.
2
What is the solution of the equation 6x - 3 = -51?
A. -9
B. -8
c. 8.
D. 9
Answer:
x = -8
Step-by-step explanation:
6x - 3 = -51
Add 3 to each side
6x - 3+3 = -51+3
6x = -48
Divide each side by 6
6x/6 = -48/6
x = -8
20 × 20 - 4
solve and show work
Answer:
20×20-4
=400-4
=396
hope it helps u....
plz mark as brainliest...
Answer:
396Step-by-step explanation:
Using BODMAS rule:
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now, let's solve:
[tex]20 \times 20 - 4[/tex]
Multiply the numbers
[tex] = 400 - 4[/tex]
Calculate the difference
[tex] = 396[/tex]
Hope this helps...
Best regards!!
arithmetic sequences (nth term)
Tick the arithmetic sequences.
In order for a sequence to be arithmetic the relations between their numbers must be the sum of a common ratio, therefore to determine which ones are arithmetic sequence we need to satisfy the following expression:
[tex]a_n - a_{n-1} = a_{n-2} - a_{n-3}[/tex]
The expression just mean that the subtraction of consecutive terms should be equal for position in the sequence.
"1, 5, 9, 13...":
[tex]13 - 9 = 5 - 1\\4 = 4[/tex]
Since the expression is valid, then this is a arithmetic sequence.
"6, 10, 15, 21...:
[tex]21 - 15 = 10 - 6\\6 = 4[/tex]
Since the expression is invalid, then this isn't a arithmetic sequence.
"2, 3, 5, 8...:
[tex]8 - 5 = 3 - 2\\3 = 1[/tex]
Since the expression is invalid, then this isn't a arithmetic sequence.
"2, -4, 8, -16...:
[tex]-16- 8 = -4 - 2\\-24 = -6[/tex]
Since the expression is invalid, then this isn't a arithmetic sequence.
"-1, 2, 5, 8...:
[tex]8 - 5 = 2 -(- 1)\\3 = 3[/tex]
Since the expression is valid, then this is a arithmetic sequence.
"73, 66, 59, 52...:
[tex]52 - 59 = 66 - 73\\-7 = -7[/tex]
Since the expression is valid, then this is a arithmetic sequence.
"6, 1, -4, -9...:
[tex]-9 - (-4) = 1 - 6\\-5 = -5[/tex]
Since the expression is valid, then this is a arithmetic sequence.
"1, 2, 4, 8...:
[tex]8 - 4 = 2 - 1\\4 = 1[/tex]
Since the expression is invalid, then this isn't a arithmetic sequence.
Find the first five terms of the patterns with these nth terms.
For [tex]3n + 3[/tex]:
[tex]3*1 + 3 = 3 + 3 = 6[/tex]
[tex]6 + 3 = 9[/tex]
[tex]9 + 3 = 12[/tex]
[tex]12 + 3 = 15[/tex]
[tex]15 + 3 = 18[/tex]
(6, 9, 12, 15, 18)
For [tex]9n - 7[/tex]:
[tex]9*1 - 7 = 9 - 7 = 2[/tex]
[tex]2 + 9 = 11[/tex]
[tex]11 + 9 = 20[/tex]
[tex]20 + 9 = 29[/tex]
[tex]29 + 9 = 38[/tex]
(2,11,20,29,38)
Write down a formula for the nth term of these patterns. The first term is n = 1.
The nth term of any arithmetic sequence is: [tex]a(n) = a(1)*(n - 1)*r[/tex]
Therefore we need to identify r in each sequence.
For (9,15,21,27,33):
[tex]r = 15 - 9 = 6[/tex]
[tex]a(n) = 1*(n - 1)*6 \\a(n) = 6*n - 6[/tex]
For (-2,-8,-14,-20,-26):
[tex]r = -8 - (-2) = -6[/tex]
[tex]a(n) = 1*(n - 1)*(-6)\\a(n) = -6*n + 6[/tex]
the hypotnuse of a 45 -45 -90 triangle measures 22√2 units. what is the length of the leg of the triangle?
Answer:
22 units.
Step-by-step explanation:
In 45- 45- 90 triangles, there is a 1 to 1 to the square root of 2 formula. Each side length measures 1x, while the hypotenuse measures x times the square root of 2.
In this case, the hypotenuse measures 22 and the square root of 2 units. To find the value of x, simply divide that by the square root of 2 units, and you get x = 22 units. Multiply that by 1, and you get 22 units, which is the length of the leg of the triangle.
Hope this helps!
From the top of a vertical cliff 75.0m high, forming one bank of a river, the angles of depression of the top and bottom of a vertical cliff which forms the opposite bank are 22° and 58° respectively. Determine the height of the second cliff and width of the river
Answer:
a. 46.9 m b. 56.1 m
Step-by-step explanation:
a. Width of the river
The angle of depression of the bottom of the second vertical cliff from the first vertical cliff = angle of elevation of the top of the first vertical cliff from the bottom of the second vertical cliff = 58°.
Since the height of the vertical cliff = 75.0 m, its distance from the other cliff which is the width of the river, d is gotten from
tan58° = 75.0 m/d
d = 75.0/tan58° = 46.87 m ≅ 46.9 m
b. Height of the second cliff
Now, the difference in height of the two cliffs is gotten from
tan22° = h/d, since the angle of depression of the top of second cliff from the first cliff is the angle of elevation of the top of the first cliff from the second cliff = 22°
h = dtan22° = 18.94 m
So, the height of the second cliff is h' = 75.0 - h = 75.0 m - 18.94 m = 56.06 m ≅ 56.1 m
Select the correct answer. Simplify the expression. What classification describes the resulting polynomial? (3x2 − 11x − 4) − (2x2 − x − 6) A. quadratic trinomial B. linear binomial C. quadratic binomial D. linear monomial
Answer:
A : quadratic trinomial
Step-by-step explanation:
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus quadratic trinomial → A
Hope helped.. Mark BRAINLIEST
Thanks!!
Answer:
A. quadratic trinomial
Step-by-step explanation:
[tex](3x^2-11x-4)-(2x^2-x-6)[/tex]
Remember that polynomials are closed to subtraction, therefore, linear binomial and linear monomial can't be an option.
[tex]3x^2-11x-4-2x^2+x+6[/tex]
[tex]x^2-10x+2[/tex]
We got a quadratic equation. Once it has the c term, it is a quadratic trinomial.
Which explains whether AFGH is congruent to AFJH?
Answer:
Hey there!
FGH is congruent to FHJ because of the ASA postulate, stating that in congruent triangles, two angles and one side must be congruent.
Hope this helps :)
Write an expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at
the top
Answer:
ΔE =12.3 - (-9.6) which is equivalent to 21.9 feetStep-by-step explanation:
Give the distance covered by Vivian at the bottom of the elevation to be -9.6 feet and the distance covered by Vivian at the top of the elevation to be 12.3 feet, Vivian's change in elevation will be expressed as the difference in the elevation at the bottom and the elevation at the top.
Let the initial elevation Ei = -9.6 feet
Final elevation Ef = 12.3 feet
Change in elevation ΔE = Ef - Ei
Change in elevation ΔE =12.3 - (-9.6)
Change in elevation ΔE = 12.3 + 9.6
Change in elevation ΔE = 21.9 feet
Hence the expression to represent Vivian's change in elevation from -9.6 feet at the bottom of the Ferris wheel to 12.3 feet at the top is ΔE =12.3 - (-9.6) which is equivalent to 21.9 feet
Answer:
12.3 – (-9.6)
Step-by-step explanation:
Its the answer they provided
Pencils are sold in boxes of 10 Erasers are sold in boxes of 14 A teacher wants to buy the same number of pencils and erasers work out the smallest number of boxes of each item she should buy
Answer:
7 boxes of pencils and 5 boxes of erasers.
Step-by-step explanation:
The least common denominator of these two numbers are 70. 7×10 and 14×5. So she is purchasing the same quantity of both.
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answer:
B. y= -x^2+50x-300
Step-by-step explanation:
A. y^2=4x^2-100
B. y= -x^2+50x-300
C. x=-y^2-400
D. x^2=-6y^2+200
we are to find profits (y) when the company sells x items
Option A can be used to calculate the profit (y) squared
Option B can be used to calculate profits (y)
Option C can be used to calculate items sold(x)
Option D can be used to calculate items sold squared(x^2)
We are asked to find the weekly profit (y) function which eliminate options A, C and D leaving us with option B
Therefore, the weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2+50x-300
Which three-dimensional figure is formed by the rotation given?
Answer: The bottom right
Step-by-step explanation: Take a peek at the pic :)
U
480
S
d
T
b
R.
C
P
1549
Q
Answer:
a = 26°
b = 48°
c = 26°
d = 106°
HELPPP!! Calculate the side lengths a and b to two decimal places. (there is a picture included)
Answer:
Option (D)
Step-by-step explanation:
In the given triangle ABC,
Sum of all interior angles = 180°
m∠A + m∠B + m∠C = 180°
72° + 85° + m∠C = 180°
m∠C = 180 - 157
m∠C = 23°
By applying Sine rule in the triangle,
[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}[/tex]
[tex]\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=\frac{\text{Sin23}}{6.2}[/tex]
[tex]\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=0.06302[/tex]
[tex]\frac{\text{Sin72}}{a}=0.06302[/tex]
a = [tex]\frac{\text{Sin72}}{0.06302}[/tex] = 15.09
[tex]\frac{\text{Sin85}}{b}=0.06302[/tex]
b = [tex]\frac{\text{Sin85}}{0.06302}[/tex]
b = 15.81
Therefore, option (D) will be the answer.
HELPP I NEED THIS ASAP!! 10 points
The graph shows a Y in meters of shark from the surface of another name for a certain amount of time x in minutes
Part A : Describe how you can use similar triangles to explain why do you suppose the graph between point a and B is the same as the slope of the graph between points a and C?
Part B:What are the initial value to and slope of the graph what do they represent?
Answer:
(∠C) ≅ (∠B)
∴ tan(∠B) = tan(∠C) and
Slope AB = Slope BC
Step-by-step explanation:
Part A:
To explain why the slope from point from A to B is the same with the slope from B to C with similar triangles we have;
The angle between segment AB and the vertical is the same as the angle between segment BC and the vertical - (corresponding angles)
The angle between segment AB and the horizontal is the same as the angle between segment BC and the horizontal - (corresponding angles)
The length of a segment opposite to the angle between segment AB and the horizontal is the as the length of a segment opposite to the angle between segment BC and the horizontal
Therefore, the triangle formed by A, B and the point of intersection of the vertical line from A with the horizontal line from B is congruent to the triangle formed by B, C and the point of intersection of the vertical line from B with the horizontal line from C
Which gives the angle with the horizontal at C (∠C) is congruent to the angle with horizontal B (∠B)
The slope AB = tan(∠B)
Slope BC = tan(∠C)
(∠C) ≅ (∠B)
Therefore, tan(∠B) = tan(∠C) and slope AB = Slope BC.
a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?
Answer:
The top of the cake is 25.12 in²
Step-by-step explanation:
Hello!
So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.
Lets write out the circumference formula and use that to help us.
c = 2[tex]\\\pi[/tex] x r
pi is 3.14....
But lets use 3.14
c = 2(3.14) x 4
Plus this into a calculator and we get 25.12 as the answer.
Answer:
≈50.265 [tex]in^{2}[/tex]
Step-by-step explanation:
You first have to find the radius since the formula for the area of a circle is A=[tex]\pi r^{2}[/tex].
Since the radius is half the diameter, just divide 8 by 2 which will give you 4.
r=4
Now plug in the radius into the formula and simplify.
A=[tex]\pi 4^{2}[/tex]
[tex]A=\pi 16[/tex]
≈50.265 [tex]in^{2}[/tex]