Answer:
Step-by-step explanation:
The standard form of the quadratic we need is
[tex]y=a(x-h)^2+k[/tex] where we have everything we need but a. That's what we will solve for.
x and y come from the coordinate given on the red graph:
x = 2 and y = 1
h and k come from the coordinates of the vertex:
(0, 0). Fill all that in and solve for a:
[tex]1=a(2-0)^2+0[/tex] and
1 = 4a so
a = 1/4 That makes our equation
[tex]y=\frac{1}{4}(x-0)^2+0[/tex] or simplified:
[tex]y=\frac{1}{4}x^2[/tex], choice B.
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 :)
1. In the diagram below, segment AB is tangent to circle C at point D and
AC LBC. If m
Answer:
∠ DCB = 28°
Step-by-step explanation:
∠ ACD = 180° - (90 + 28)° = 180° - 118° = 62° , then
∠ DCB = 90° - 62° = 28°
5.0×10
1
1.50×10
5
= ?
help please last day of school
Answer:
5.0x10=50
1.50x10=15
Step-by-step explanation:
calculator
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
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 :)
if the needle below is spun twice and the letters are recorded both times , which of the following would be the probability it would land on letters A and C (in either order)?
(1) 1/3
(2)2/3
(3)2/9
(4)5/6|
the sixth graders rasied money to fund a feild trip. the five classes raised $42, $51, $38, $49, and $40. what is the median on the ammount of money raised?
a. $36
b. $42
c. $40
d. $13
Answer:
The median is $42, or B.
Step-by-step explanation:
Our numbers are :
42, 51, 38, 49, and 40.
The first step to finding the median is ordering the numbers from least to greatest.
38, 40, 42, 49, 51.
Now we find the number perfectly in the middle - that's 42, between 49 and 40. The median is $42, or B.
Please mark brainliest!
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°.
To learn more about the adjacent angles visit:
https://brainly.com/question/12838185.
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Which function describes this graph?
Which is NOT a way to state the meaning of the expression c+5?
Two containers, A and B begin with equal volumes of liquid.
120 ml is then poured from A to B.
А
B
Container B now contains 4 times as much liquid as A.
Find the volume of liquid left in container A at the end.
A
A
B.
B
Volume left in container A=
20
ml
Answer:
volume left in A is 80ml
Step-by-step explanation:
let original volume in both be x ml
after pouring from A to B
vol in A = x - 120
vol in B = x + 120
now it is given that
vol in B = 4 times vol in A
implies
[tex]x + 120 = 4 \times (x - 120) \\ x + 120 = 4x - 480 \\ 3x = 600 \\ x = 200[/tex]
hence original volume in A is 200ml. after pouring in B it is 200-120 = 80 ml
Please Help I'll give brainliest
Answer:
259.8
Step-by-step explanation:
Any help is appreciated!!!!!!
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddfffffdff
I think the answer Is B but i am not sure
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.
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.
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
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:
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
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
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:
brainly.com/question/24449175
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).
Learn more about simplification here:
https://brainly.com/question/23509407
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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
what do you think the soultion is to the queation. I need help???
Answer:
w = 16, x = 11, y = 6, z = 7.5
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
Then by proportion
[tex]\frac{12}{w}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3w = 48 ( divide both sides by 3 )
w = 16
----------------
[tex]\frac{x}{12}[/tex] = [tex]\frac{3}{4}[/tex]
4x = 36
x = 9
-------------------
[tex]\frac{4.5}{y}[/tex] = [tex]\frac{3}{4}[/tex]
3y = 18
y = 6
----------------------------
[tex]\frac{z}{10}[/tex] = [tex]\frac{3}{4}[/tex]
4z = 30
z = 7.5
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.
plzzzzzzzzz guysssss im failinggggg
Step-by-step explanation:
a) Given,
Total marks in English = 90
Marks scored by James = 60
Therefore,
Percentage of marks scored
[tex] = \frac{60}{90} \times 100[/tex]
= 66.67% (approx. )
Then,
Total marks in Science = 150
Marks scored by James = 78
Therefore,
Percentage of marks scored
[tex] = \frac{78}{150} \times 100[/tex]
= 52%
At last,
Total marks in Maths = 120
Marks scored by James = 75
Therefore,
Percentage of marks scored
[tex] = \frac{75}{120} \times 100[/tex]
= 62.50%
b) In English test James scored highest percentage.
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]
which inequalities pairs with y<-2x-1 to complete the system of linear inequalities represented by the graph?
Explain please thank you
Can someone help I’m confused
Answer:
D and E
Step-by-step explanation:
Let's double check:
D. 9 ÷ 3 = 3
E. 4 × 9 = 36
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Have a great summer :)
Answer:
the answers would be A, D, and E
Step-by-step explanation:
just replace the Cs with the number 9 and solve from there.
for example c/3=3 would say 9/3=3
Rectangle, Square, or Rhombus?
Answer:
maybe rhombus
Step-by-step explanation:
don't take my word for it
Answer:
I think Rhombus. I am not so sure.
Step-by-step explanation:
Have a nice day! :-)
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