Answer:
x = 78
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
Answer:
78 degrees
Step-by-step explanation:
According to vertical angles theorem (vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent) 78 and x are congruent
Solve 2x^2+12=x−3 help
Answer:
x = 1 ±[tex]\sqrt{119i}[/tex]/ 4
Step-by-step explanation:
[tex]2x^{2} -x +15[/tex] = 0
Use the quadratic formula:
x = 1 ±[tex]\sqrt{119i}[/tex]/ 4
I hope this helps...
And plz mark me brainliest!!1
Find the total surface area of this cone.
Round to the nearest tenth.
Answer:
A ≈ 312.1
Step-by-step explanation:
[tex]A = \pi r(r+\sqrt{h^2 + r^2})[/tex]
r = 5
h = 14
[tex]A = \pi 5(5+\sqrt{14^2+5^2})[/tex]
A = 312.055478161
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
(−4, 18)
(0, -2)
(-8, -2)
(−4, −18)
===================================================
Explanation:
A graph is a nice addition (and it will likely help us see the vertex directly), but it isn't necessary because we can use the equation given to us. Though I recommend using a graphing calculator to confirm the answer.
The original function is the same as y = 1x^2+8x + (-2). We see that it is in the form y = ax^2+bx+c where
a = 1
b = 8
c = -2
Use the values of 'a' and b to get the value of h, which is the x coordinate of the vertex.
h = -b/(2a)
h = -8/(2*1)
h = -4
The x coordinate of the vertex is x = -4. Plug this into the original equation to get
f(x) = x^2+8x-2
f(-4) = (-4)^2 + 8(-4) - 2
f(-4) = -18
Plugging x = -4 into f(x) leads to y = -18. The point (-4, -18) is on the parabola. Furthermore, this is the vertex (h,k)
------------
Alternatively, you can complete the square as shown below
y = x^2 + 8x - 2
y = (x^2 + 8x) - 2
y = (x^2 + 8x + 0) - 2
y = (x^2 + 8x + 16 - 16) - 2
y = (x^2 + 8x + 16) - 16 - 2
y = (x+4)^2 - 18
y = 1(x+4)^2 - 18
y = 1(x-(-4))^2 - 18
The last equation is in the form y = a(x-h)^2 + k with (h,k) = (-4,-18) being the vertex. The 16 is the result of taking half of 8 and squaring that result. We have 16-16 = 0 to make sure that we don't change the equation and keep things balanced. This is the same as adding 16 to both sides. All of this is done so we can end up with the (x+4)^2 perfect square portion.You can expand out (x+4)^2 - 18 and you should get x^2+8x-2 again.
I need help whats 5/8 + 14 the 5/8 is a fraction
Hey there!
5/8 + 14 = ?
We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation
14 * 8 = 112 (upcoming numerator for now)
8 * 1 = 8 (upcoming denominator for now)
5 stays alone
New equation 5 + 112 / 8
5 + 112 = 117 (numerator)
8 = 8 (demominator)
Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)
⬆ ANY one of these choices SHOULD work
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
Below
Step-by-step explanation:
Imagine our window has 4 panes (picture below)
Let T be the total number of panes:
There are 12 windows at total.
●T = 4×12
Notice that:
● 4 = 2×2
● 12 = 4×3 = 2×2×3
● T = 2×2×2×2×3 = 2^4×3
John ran 1 2 mile in 5 minutes, and Al ran 1 3 mile in 4 minutes. Which runner ran at a faster rate?
Answer:
John ran at a faster rate
Step-by-step explanation:
If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.
1/3 : 4 = 3/3 : 12 Al
1/2 : 5 = 2/2 : 10 John
From both of the rations John ran faster
what is the right answerrrr??
Answer:
C. Two lines are perpendicular if they have opposite slopes
Step-by-step explanation:
Hey there!
Well 2 lines that are perpendicylar have reciprocal slopes for example,
2 and 1/2 are 2 slopes that are perpendicular.
Hope this helps :)
What is g(h(10))? (images)
Answer:
2 sqrt(2)
Step-by-step explanation:
h(x) = 2x-8
g(x) = sqrt( x-4)
g(h(10))
First find h(10)
h(10) = 2*10 -8 = 20-8 =12
Then find g(h(10) = g(12) = sqrt( 12-4)
= sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)
Answer:
a
Step-by-step explanation:
edge 2021
Plz Help I’ll give brainliest
Answer:
d
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc, thus
arc AX = 2 × 64° = 128°
The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus
∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d
can somewon help me plz
Answer:
parallel
Step-by-step explanation:
We are cutting in the same direction as the base, so the slices is parallel to the base
Help plz and explain if possible
Answer:
d
Step-by-step explanation:
(08.06 MC)
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
ty
15
18
t
16
14
f(x)
Jestion
Question 1 (Answered)
0
Answer:
(3.5, 17)
Step-by-step explanation:
It would be nice to see the whole graph, so we can see where the functions cross.
Without that information, we can still eliminate unreasonable choices.
A) the quadratic at y=3.5 is well above the exponential
B) the most likely choice (3.5, 17)
C) at x=-8, the quadratic is above the exponential
D) neither graph goes anywhere near y = -8
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answer:
5.36
Step-by-step explanation:
tan 15 = x / 20
x = 40 - 34.64
x = 5.36
Find the area and perimeter of the shaded region.
Answer:
Area: [tex]50\pi -100[/tex]
Perimeter: 20[tex]\pi[/tex]
Step-by-step explanation:
If we take half of one of these "pedals" we can see that it is simply 1/4 of a circle with radius 5, subtracted by a triangle. Let's calculate this half-pedal.
[tex]1/4(25 \pi) - 1/2(5* 5)[/tex]
That means 4 pedals is equal to:
[tex]8(1/4(25\pi) - 1/2 (25))[/tex]
[tex]50\pi - 100[/tex]
So.. The area of the shaded region is [tex]50\pi -100[/tex]
Perimeter is even simpler. the half-pedal is just 1/4 of the circumference of the circle. The circumference is just [tex]10\pi[/tex], which means our half pedal is:
[tex]1/4(10\pi )[/tex]
Multiplying by 8, our perimeter is just 20[tex]\pi[/tex].
What is the slope of the line through (2,-2) and (9, 3)
Answer:it is 5/7
Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7
Answer:
slope = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)
m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]
If dn = ‾‾√24, what value of n makes this equation true?
Answer:
1/24
Step-by-step explanation:
Answer:
1/24 makes this equation true
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )
Answer:
approximately 5.36
Step-by-step explanation
20 - 9.28 = 10.72
BD = EC
10.72/2 = 5.36
d) Use your knowledge of scale drawings and image sizes to fill in the missing
information in the table. (3 points)
Empire State Building
Original
Image
Actual Height
(in feet)
1,450
1,450
1,450
Reduced
Image
Model Height
(in blocks)
145
1
1
Scale Factor
25
50
Answer:
Your table is filled in below.
Step-by-step explanation:
The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".
Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*
__
* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.
Answer: Image
Step-by-step explanation:
took the test
In triangle GHI, GH= 2cm
please do 3 and 4
Answer:
Tan D = 7 / 4
Sin D = 7 / 8.1
Cos D = 4 / 8.1
IG = 4.95 Cm
Step-by-step explanation:
In question number 3
Tan D = Perpendicular / Base
Tan D = 7 / 4
Sin D = Perpendicular / hypotenuse
Sin D = 7 / 8.1
Cos D = Base / hypotenuse
Cos D = 4 / 8.1
In question number 4
Tan 68° = IG / GH
2.475 = IG / 2
IG = 4.95 Cm
TheOriginal tragedy of the commons concern grazing cows and sheep’s and 14 century England, space choose the theme in about the tragedy of the commons that is correct
Answer:
The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.
Step-by-step explanation:
The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.
What is the solution of the inequality shown
below?
y+7<-1
Answer:
y<-8
Step-by-step explanation:
y<-1 - 7
y<-8
Answer:
y < -8
Step-by-step explanation:
To solve an inequality, we must get the variable, y, isolated on one side of the inequality.
[tex]y+7 < -1[/tex]
7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.
[tex]y+7-7< -1-7[/tex]
[tex]y < -1-7[/tex]
[tex]y < -8[/tex]
The solution to the inequality is: y< -8
A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1425 square kilometer.
Step-by-step explanation:
2900 - 8.5% = 2653.5
2653.5 - 8.5% = 2427.9525
2427.9525 - 8.5% = 2221.5765375
2221.5765375 - 8.5% = 2032.74253181
2032.74253181 - 8.5% = 1859.95941661
1859.95941661 - 8.5% = 1701.8628662
1701.8628662 - 8.5% = 1557.20452257
1557.20452257 - 8.5% =1 424.84213815 ≈ 1425
-10y^2 - 3y - (5y - 8y^2) combined like terms
Answer:
-2y(y + 4)
Step-by-step explanation:
-10y^2 - 3y - (5y - 8y^2)
= -10y^2 - 3y - 5y + 8y^2
= -2y^2 - 8y
= -2y(y + 4)
Which table represents a linear function? A, B, C, D
Answer:
Table B represents a linear function.
Step-by-step explanation:
Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.
PLEASE HELP A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.
Answer:
Part A : see composition process below
Part B : [tex]Domain=\{x\,|\,x\neq 0\}[/tex]
Step-by-step explanation:
Part A
Let's use the composition of functions to find if they give the identity : [tex]f(g(x))=x[/tex] thus proving they are the inverses of each other:
[tex]f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x[/tex]
So we have proved they are the inverses of each other.
Part B
Given that the composition is:
[tex]f(g(x))=\frac{1}{\frac{1}{x} }[/tex]
the Domain must exclude x=0, for which this quotient is undefined.
The Domain is then:
[tex]Domain=\{x\,|\,x\neq 0\}[/tex]
Question: 4 x 1 2/5 Answer with a mixed number in simplest form!
Answer:
[tex]5\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]
Answer:
[tex]\boxed{ 5\frac{3}{5}}[/tex]
Step-by-step explanation:
[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]
[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]
[tex]\displaystyle 4 \times \frac{7}{5}[/tex]
[tex]\sf Multiply.[/tex]
[tex]\displaystyle \frac{28}{5}[/tex]
[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]
[tex]\displaystyle 5\frac{3}{5}[/tex]
What is the value of r in the equation?
-1.5(4-r)=-12
0 -6
-4
4
06
Answer:
r = -4Step-by-step explanation: I hope it helps :)
[tex]-1.5(4-r)=-12\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4-r\right)\cdot \:10=-12\cdot \:10\\\\= -15\left(4-r\right)=-120\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\\\frac{-15\left(4-r\right)}{-15}=\frac{-120}{-15}\\\\4-r=8\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\\\4-r-4=8-4\\\\-r=4\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\\\frac{-r}{-1}=\frac{4}{-1}\\\\r=-4[/tex]
Answer:
r = -4
Step-by-step explanation:
-1.5(4-r)=-12
Divide each side by -1.5
-1.5/-1.5(4-r)=-12/-1.5
(4-r)=8
Subtract 4 from each side
4-r-4 = 8-4
-r = 4
Divide each side by -1
r = -4
2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.
Answer:
P(-3) = -2
Step-by-step explanation:
Substitution
P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8
P(-3) = -2
__
Long Division
See the working below. The remainder is -2, so ...
P(-3) = -2
Both of these question please help me!!!!!!
Answer:
1. A=3x^4y^4 2.B= 2^6=64
Step-by-step explanation:
hope this helps pls mark brainliest
Use the drawing tool(s) to form the correct answer on the provided number line.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took
out 16 plastic cups for his teammates and put the same amount of water in each cup.
Answer:
Kindly see explanation
Step-by-step explanation:
Given the following :
Amount of water in cooler = 144 ounces
Size of Will's water bottle = 16 ounces
Therefore, the amount of water left after filling his water bottle :
144 ounces - 16 ounces = 128 ounces of water.
The 128 ounces left was used to equally fill 16 plastic cups :
Therefore the number of ounces of water put in each cup equals :
(128 ounces ÷ 16 cups) = 8 ounces.
The maximum number of ounces of water will could have put in each cup is 8 ounces
Thus (0 < x ≤ 8)
See graph below