Answer:
k = -2
Step-by-step explanation:
f(x) = (x − h)² + k
(h, k) is the (x, y) coordinate of the vertex
For a vertex of (4, -2)
h = 4
k = -2
Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store
Answer:
[tex]Amount = 49 + 14.99k[/tex]
Step-by-step explanation:
Given
[tex]Books = 24[/tex]
[tex]Another\ Store = 25[/tex]
[tex]Model = k[/tex]
Cost of [tex]Model = 14.99[/tex] --- Missing from the question
Required
Represent the amount spent
The amount is calculated as:
[tex]Amount = Books + Another\ Store + Model * Cost[/tex]
[tex]Amount = 25 + 24 + k * 14.99[/tex]
[tex]Amount = 49 + 14.99k[/tex]
A factory can make 3,848 pencils in one hour. Which is the best estimate of how many pencils can be made in 4 hours? *
A 160,000 pencils
B 16,000 pencils
C 12,000 pencils
D 1,600 markers
Answer:
B. 16,000 pencils
Step-by-step explanation:
3,848 * 4 is 15,392
Answer:
b
Step-by-step explanation:
Can please someone help me? The question is in the picture. Thank you
Answer:
C. [tex]9\pi[/tex]
Step-by-step explanation:
We proceed to solve for [tex]x[/tex] by the Pythagorean Theorem:
[tex](x+1)^{2} = (x-1)^{2} + (2\cdot x - 4)^{2}[/tex] (1)
[tex]x^{2} + 2\cdot x + 1 = (x^{2}-2\cdot x + 1) + (4\cdot x^{2}-16\cdot x + 16)[/tex]
[tex]x^{2} + 2\cdot x + 1 = 5\cdot x^{2}-18\cdot x + 17[/tex]
[tex]4\cdot x^{2} -20\cdot x + 16 = 0[/tex]
[tex](2\cdot x)^{2} -10\cdot (2\cdot x) + 16 = 0[/tex]
[tex](2\cdot x -8)\cdot (2\cdot x -2) = 0[/tex]
There are two different solutions:
[tex]x_{1} = 4[/tex], [tex]x_{2} = 1[/tex]
A solution of [tex]x[/tex] is considered realistic when the length of every side of the triangle is a not negative number.
[tex]x_{1} = 4[/tex]
[tex]UV = 2\cdot (4) - 4[/tex]
[tex]UV = 4[/tex]
[tex]WU = 4 - 1[/tex]
[tex]WU = 3[/tex]
[tex]WV = 4 + 1[/tex]
[tex]WV = 5[/tex]
[tex]x_{2} = 1[/tex]
[tex]UV = 2\cdot (1) - 4[/tex]
[tex]UV = -2[/tex]
[tex]WU = 1 - 1[/tex]
[tex]WU = 0[/tex]
[tex]WV = 1 + 1[/tex]
[tex]WV = 2[/tex]
The only realistic set of solutions is for [tex]x = 4[/tex], and the radius of the circle is represented by the line segment [tex]WU[/tex]: [tex]r = 3[/tex]
And the area of the circle ([tex]A[/tex]) is calculated from the following formula:
[tex]A = \pi\cdot r^{2}[/tex]
[tex]A = \pi\cdot (9)[/tex]
[tex]A = 9\pi[/tex]
The correct answer is C.
which inequalities pairs with y<-2x-1 to complete the system of linear inequalities represented by the graph?
Find the unit rate for the number of parts manufactured per hour if 1380 parts are made in 4 hours. Round to the nearest integer. Group of answer choices
Answer:
345
Step-by-step explanation:
The answer is 345 because you divide 1380 by 4 which is 345.
The terminal side of θ in standard position contains the point (3, 0). Find the exact values of the six trigonometric functions of θ
[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]
[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]
Which function describes this graph?
Find the value of x in the isosceles triangle shown below
Answer:
x²+4² =8²
x²+16 =64
x² =64-16.
x² =48
x. =√48
answer is option D
Answer:
D
Step-by-step explanation:
The segment x is a perpendicular bisector and divides the triangle into 2 right triangles.
Using Pythagoras' identity in either of the 2 right triangles, then
x² + 4² = 8²
x² + 16 = 64 ( subtract 16 from both sides )
x² = 48 ( take the square root of both sides )
x = [tex]\sqrt{48}[/tex] → D
Find the value of x in the diagram. With working please
Answer:
x=13.84
Step-by-step explanation:
3x + 5x + 5x = 180 degree (sum of interior angles of a triangle is always 180 degeree)
13x = 180
x=180/13
x=13.84
therefore value of x is 13.84 degree
Solve the equation. 6g = 48 what does g equal?
Answer:
8
Step-by-step explanation:
First we need to figure out what g equals
Since 6 x 8 = 48 your answer would be 8
6 x 8 = 48
~ LadyBrain
The value of g that satisfies the equation is 8.
To solve the equation 6g = 48 and find the value of g, we can isolate the variable g by dividing both sides of the equation by 6:
6g / 6 = 48 / 6
This simplifies to:
g = 8
Therefore, g equals 8. By dividing both sides of the equation by 6, we find that when g is multiplied by 6, it results in 48. Hence, the value of g that satisfies the equation is 8.
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Explain please thank you
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000 last year
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.
Simplify fully
4x^2+ 4x
2x^2-2
Following are the simplification to the given equation:
Given:
[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]
To find:
simplify=?
Solution:
Using formula:
[tex]\to (a^2-b^2)= (a+b)(a-b)[/tex]
[tex]\to \frac{4x^2+ 4x}{2x^2-2}[/tex]
In the numerator part common the value 4x and in the denominator we common the value 2 then:
[tex]\to \frac{4x^2+ 4x}{2x^2-2}= \frac{4x(x+ 1)}{2(x^2-1)}\\[/tex]
[tex]= \frac{4x(x+ 1)}{2(x^2-1^2)}\\\\= \frac{4x(x+ 1)}{2(x-1)(x+1)}\\\\= \frac{4x}{2(x-1)}\\\\= \frac{2x}{(x-1)}\\\\[/tex]
Therefore, the final answer is "[tex]\frac{2x}{(x-1)}\\\\[/tex]"
Learn more about the Simplify:
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The correct answer is (2 x)/(x - 1).
To simplify.
(4 x²+ 4 x)/(2 x²-2) = 4 x(x + 1)/2(x² - 1)
By this formula
(x² - 1²) = (x + 1)(x - 1).
4 x(x + 1)/2(x + 1)(x - 1) = (2 x)/(x - 1).
Therefore, simplification of (4 x²+ 4 x)/(2 x²-2) is (2 x)/(x - 1).
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If f(x) = 2x - 6 and dx) = 3x + 9, find (f - g(x).
O A. (f- g)(x) = -x- 15
O B. (f- g)(x) = x + 15
O C. (f- g)(x) = -x+ 3
O D. (f - g)(x) = 5x + 3
Answer:
A
Step-by-step explanation:
Given that f(x) is 2x-6, and g(x) is 3x+9, all we have to do is subtract in order to find (f(x)-g(x)):
[tex](f(x)-g(x))=\\\2x-6-(3x+9)=\\2x-6-3x-9=\\-x-15[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
A student said that the sum of the measures of a pair of adjacent angles must equal 180 degrees. Is the student correct?
Answer:
si
Step-by-step explanation:
cuando sumamos la medida de un ángulo en el par con el otro ángulo en el par, el total será 180 grados.
No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.
What are adjacent angles?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
The sum of the measures of a pair of adjacent angles can be any number, including 180 degrees, but it does not have to be 180 degrees.
No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.
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Any help is appreciated!!!!!!
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddfffffdff
I think the answer Is B but i am not sure
Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?
Answer:
Distance cover by Jodie = 1 kilometer
Step-by-step explanation:
Given;
Speed of Jodie = 6 kilometer/ hour
Total time Jodie ran = 10 minutes
Find:
Distance cover by Jodie
Computation:
Total time Jodie ran = 10 minutes = 10 / 60 = 0.1667 hour
Distance = Speed x time
Distance cover by Jodie = Speed of Jodie x Total time Jodie ran
Distance cover by Jodie = 6 x 0.1667
Distance cover by Jodie = 1.002
Distance cover by Jodie = 1 kilometer
A line intersects the points (13,-4) and (1,12). Find the slope and simplify completely.
slope= - ?/?
Answer:
-4/3
Step-by-step explanation:
let (13,-4) be (x1,y1) respectively
(1,12) be (x2,y2) respectively
From,
slope=(y2 -y1)/(x2-x1)
=(12+4) /(1-3)
=16/-12
=-4/3
A system of equation is shown
y=-2x+b
y= 3x+b
What value of b is required so that the system has the solution (0,6)
b=
Please no link I need help badly!
Answer:
The answer is 6
Step-by-step explanation:
(0,6)
x=0,y=6
Substituting 0 for x and 6 for y
6=2(0) + b
6=b
or
6 = 3(0)+b
6=b
Therefore, b=6
Find the equation in terms of x of the line through the points (-4,-6) and (1,9)
Answer:
y = 3x + 6
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - (-6) / 1 - (-4)
15/5
= 3
y = 3x + b
9 = 3(1) + b
9 = 3 + b
6 = b
55 points:
What is the area of "triangle " XYZ to the nearest tenth of a square inch? Use special right triangles to help find the height. Leave your answer in terms of the radical. Show your work.
Answer:
area of triangle
90⁰+60⁰+x = 180⁰
150⁰ +x = 180⁰
x = 30⁰
Step-by-step explanation:
1/2 × base × heinght
1/2 × 30⁰ × 90⁰
15 × 90
1350 ft² is area of triangle
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,7) and (9,-2)
Answer: 10.3
Step-by-step explanation:
i need to know the answer
Answer:
Option A is correct
Step-by-step explanation:
Please Mark me brainlist
Find the area of the circle.
Answer:
C
Step-by-step explanation:
because area of a circle = πr2. in this case 12 is a diameter and 6 is radius because u have to half the diameter to work work out the radius. use the equation and u will get the answer which is C.
hope this helps u understand :)
Work out the area of the shaded shape.
Answer:
A = 66 m²
Step-by-step explanation:
The figure is composed of 2 rectangles.
area of lower rectangle = 8 × (10 - 7) = 8 × 3 = 24 m²
area of upper rectangle = 6 × 7 = 42 m²
total area A = 24 + 42 = 66 m²
if you had 12 pieces and cherry has 3 pieces grape has 4 pieces and lemon has 5 pieces What is the probability of selecting a cherry OR grape piece?
Answer:
7 in 12 chance
Step-by-step explanation:
theres 12 pieces and cherry and grape has 7 combined pieces so the chance of you picking a piece that is either cherry or grape is 7/12
3. (05.02 LC) You can draw a quadrilateral with no parallel lines and at least one right angle. (1 point) True or False
======================================================
Explanation:
If you have exactly one right angle, then it is possible to have no parallel lines. See the diagram below. Refer to the upper figure.
If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.
If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.
It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.
Which range of y values makes
this inequality true?
0.6y < 15
Pls help
Answer:
yes this is true helpful answer
The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. If there are 101 students in the seventh grade, how many students are in art class?
Answer:
I think there are 23 students in the art class.
Step-by-step explanation:
You first subtract 9 from 101. Then, you divide by four to get 23.
Devon has $200 in his savings account. He has to withdraw $8 every week to pay his friend back for some video games. The video games cost $88. How many weeks will it take to pay his friend back? How much will Devon have left in his savings account?
Answer:
it will tale 11weeks to pay back his friends and he will have $112left after.
Step-by-step explanation:
88÷8=11.
200- 88 =112