Answer:
[tex]The~vertex~of~parabola~f(x) = a(x-h)^2+k~is~(h,k).\\Given~equation~of~parabola~is:\\f(x) = 3(x+2)^2-1\\So,~ h =-2 ~and~k=-1\\Therefore,~(-2,-1)~is~the~vertex~of~parabola.[/tex]
A right triangle is labeled with the hypotenuse 12m and an acute angle 23 degree
. Which of the following equations could be used to find the side length of one of the legs of the triangle.
A) sin. 23=12/x
B)cos =12/x
c)sin 23 =x/12
D) tan 23=x/12
Answer:
sin23=x/12
sin23(12)=x
0.391(12)=x
x=4.7 or 5
In exercises 27-30, three vertices of DEFG are given. Find the coordinates of the remaining vertices: D(-2,-4)
Answer:
[tex]E =[/tex] [tex](-3,3)[/tex]
Step-by-step explanation:
The question has missing parameters.
The (missing) given coordinates are:
[tex]D(x_1,y_1) = (-2,-4)[/tex]
[tex]F(x_3,y_3) = (0,7)[/tex]
[tex]G(x_3,y_4) = (1,0)[/tex]
Required
Find the coordinates of [tex]E(x_2,y_2)[/tex]
To do this, we make use of mid-point formula which is:
[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]
This gives:
[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]
Multiply through by 2
[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]
[tex](-2,3) = (x_2+1,y_2+0)[/tex]
[tex](-2,3) = (x_2+1,y_2)[/tex]
By comparison:
[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]
So, we have:
[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]
[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]
This gives:
[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]
Hence, the 4th coordinate is: [tex](-3,3)[/tex]
Write your own problem that would give the following answer:
(3a^3r^6)/
(2p^5)
Your problem must: contain 4 different variables (letters), require the use of at least 4 different exponent
properties to simplify, and use at least one number bigger than 12.
Once you come up with your problem write it below, then include the steps showing that it simplifies down
to the given expression. Once finished, write a paragraph explaining your thought process on how you
came up with your problem and which exponent properties are used to simplify it.
Answer:
i don't know but good luck with that
Step-by-step explanation:
sorry
pls help I will mark
Answer:
2x (2 or 2/1)
Step-by-step explanation:
The slope is 2/1, or 2x because the height between any two given intercepting points is two times higher than it is far.
Take for example the intercepting points at (6, 1) and (7, 3). Since slope is rise/run, the slope has risen 2 and 'run' 1. This makes the slope 2/1.
please solve m+2=_1
Answer:
m=3 or m=1
since m+2=_1
therefore m=2+1 or m=2-1
m=3 or m=1
You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?
Answer:
30 that singular tickets for each friend and if your asking for total it would be 120. :)
Step-by-step explanation:
They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)
hope this helped
I need help fast
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?
Answer:
2.83 units diagonally
2 units horizontally and 2 units vertically
Step-by-step explanation:
x position difference -2-(-4)=2
y position difference 7-5=2
2 units horizontally and 2 units vertically on a graph
2^2+2^2=8
sq rt 8=2.83 units
Evaluate 2x − 2 for x = 0, x = 1, and x = 2.
Answer:
-2, 0, and 2
Step-by-step explanation:
For x=0:
2(0) -2
0-2
-2
For x=1:
2(1)-2
2-2
0
For x=2:
2(2)-2
4-2
2
Answer:
its -1, 0, 2
Step-by-step explanation:
Can somebody pls help me with this??? It’s due at 11:59 pm and I am stuck! Will mark any one who can help me with this as Brainiest!
Answer:
a.
Step-by-step explanation:
A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.
Answer:
a and c
Step-by-step explanation:
both of them go up linear-ly
Pleaseee help answer correctly !!!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
A triangle has sides that measure 2 units, 5 units, and 5.39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3.14 for π, and round your answer to the nearest whole number.
39 units2
25 units2
49 units2
12 units2
Answer:
12units²
Step-by-step explanation:
Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,
Perimeter of the triangle = 2 + 5 + 5.39
Perimeter of the triangle = 12.39units
since the circumference is equal to the perimeter of the triangle, hence;
C = 12.39units
C = 2πr
r is the radius of the circle
12.39 = 2(3.14)r
12.39 = 6.28r
r = 12.39/6.28
r = 1.973 units
Get the area
Area = πr²
Area of the circle = 3.14(1.973 )²
Area of the circle = 3.14(3.892)
Area of the circle = 12.22units²
Area of the circle ≈ 12units²
Answer:
D. 12 units2
Solve 3(3×2) in a rectangular array
Answer: 18
Step-by-step explanation:
3(3)(2)
=(3)(6)
=18
Find m< MNQ
Explain your reasoning.
m< MNQ = 100°
By the Parallelogram Opposite Angles Theorem < MNQ and < QLM are congruent.
HOPE IT'S HELP#CarryOnLearningThe point V(-5, 6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, V′?
Answer:
V'(5, - 6)
Step-by-step explanation:
V(-5, 6)
For a counterclockwise rotation at 180°about the origin ;
The point (a, b) becomes - - - - > (-a, - b)
Therefore,
If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;
V(-5, 6) - - - - > V'(5, - 6)
*
1. The expression 0.235xy is a polynomial.
(1 Point)
Yes
No
Can't tell
9514 1404 393
Answer:
yes
Step-by-step explanation:
It is a one-term polynomial called a monomial.
The variables all have positive integer exponents (1).
4y + 4 = 2y - 10
can somebody break this down to solve it ? please
Answer:
y=-7
Step-by-step explanation:
first, you want variables on one side, numbers on the other side of the equation.
4y+4=2y-10
*plus ten on both side to get rid of -10*
4y+14=2y
*minus 4y on each side to get rid of 4y*
14=-2y
*divide by -2 on each side to get the value of just one y itself*
y=-7
Solve for X and Y
Sorry been having trouble understanding this
Answer:
[tex]x=16.4\ y=13.7[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]
[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]
[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]
[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]
[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]
[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]
A soccer goal, as shows below, is composed of a pair of 8foot upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal. A soccer ball is positioned directly in front of the right goal post. If the ground distance from the ball to the right goal is 14ft, what is the ground distance from the ball to the left goal post?
Answer:
The distance from the ball to the left post is 50 feet.
Step-by-step explanation:
Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:
A ^ 2 = B ^ 2 + C ^ 2
A ^ 2 = 14 ^ 2 + 48 ^ 2
A ^ 2 = 196 + 2,304
A = √2500
A = 50
Thus, the distance from the ball to the left post is 50 feet.
2. Gerald was given the following problem to solve for the length of the "?". He has made a mistake in his work. Identify and describe how he made his mistake. Then, solve the problem correctly.
Answer:
x = 18.7
Step-by-step explanation:
Gerald's answer is almost correct.
He just needs to switch the 14 and the x.
it should be
24/x = 18/14
solve for x by cross multiplication
18x = (24)(14)
18x = 336
x = 18.7
the price of 2_mangoes are 10 rupees. what is the price of one mango?
URGENT PLEASE HELP WILL GIVE BRAINLIEST
Answer:
Slope = 4
Rule: y= 4 x +8
X- intercept when y = 0
X = -2
did it on edjinuty and got it right
Do a + a + a + a and 4a a have the same value for any value of ? Explain how you know.
To determine whether two cylinders contain the same volume of water, each ... markers have been set up to determine the number of miles run by each participant ... each month her loan value could be modeled by the expression 18,000(0.98) ... Explain in words how you know if a solution to a quadratic equation is complex. The expression can be rewritten as 5x+2=x+x+x+x+x+1+1 . ... Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) ... Explain your answer. ... Consider the first expression for any non-zero values of the variable. ... *See complete details for Better Score Guarantee.
1 Expand and simplify each expression
a) x(x+2)+x(x+5)
38. A football pitch measuring 120m by
80m is surrounded by a running track
measuring 15m wide all round. Find
area covered by the running track
Answer:
Area of the running track = 6900 m²
Step-by-step explanation:
Length of a football pitch = 120 m
Width of the football pitch = 80 m
Area of the football pitch (Inner rectangle) = Length × Width
= 120 × 80
= 9600 m²
If a running track (width = 15 m) is built around the football pitch,
Length of the outer rectangle = 120 + 2×(15)
= 120 + 30
= 150 m
Width of the outer rectangle = 80 + 2×(15)
= 110 m
Area of the outer rectangle = 150 × 110
= 16500 m²
Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle
= 16500 - 9600
= 6900 m²
Area of the running track = 6900 m²
In four basketball games, Kevin averaged 15.5 points per game. How many total points did Kevin score in the four games?
Answer:
3.875 points
Step-by-step explanation:
15.5/4=3.875
PLEASE HELP ME I WILL GIVE YOU BRAINLIEST IF YOU HELP ME PLEASE I REALLY NEED HELP
Answer:
60º
Step-by-step explanation:
they key word here is difference meaning we need to subtract
specifically, we need to subtract 75 from 135 to find the difference in degrees, hence the number of degrees between the two settings:
135º - 75º = 60º
Directions: Solve the problem
There are 46 learners in 7-Sampaguita class consisting of 17 boys and 29 girls
Express the ratio of the following
With
Solution
Answer:
29:17
17:46
29:46
17:29
Step-by-step explanation:
In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.
Problem 1:
29 girls is to 17 boys
29:17
Problem 2:
17 boys is to 46 learners
17:46
Problem 3:
29 girls is to 46 learners
29:46
Problem 4:
17 boys is to 29 girls
17:29
In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.
(credits to ethananilovnorcio for the answer)
What is -3/4(-5/9) ?
Answer:
5/12
Step-by-step explanation:
Answer:
D) -47/36
Step-by-step explanation:
Trust me.
What is the relationship between multiplying and factoring? You multiply numbers or expressions to produce a (select). You factor a product into the numbers or (select) that were multiplied to produce it.
Answer:
Step-by-step explanation:
1
Geometry Stuff (PLEASE HELP ANSWER ITS DUE IN AN HOUR)