Answer:
D. (3. —1)
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Turning point of a quadratic function:
The turning point of a quadratic function is the vertex.
y = x2 — 6x + 8
This means that [tex]a = 1, b = -6, c = 8[/tex]
Now, we find the vertex.
[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]
[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]
[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]
(x,y) = (3,-1), and the correct answer is given by option D.
Please Help!!
In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26
Answer:
The answer is D
Step-by-step explanation:
This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D
Please help me this should be easy for y'all thanks
Answer:
20
Step-by-step explanation:
Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120
Solve for x.
Please help
Answer:
x =6
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
7x = x+36
Subtract x from each side
7x -x = x+36-x
6x = 36
Divide by 6
6x/6 = 36/6
x = 6
ahh could i get sum help?
Answer:
8/35 cubic inches
Step-by-step explanation:
Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.
Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide the line segment PQ in the ratio
Answer:
PQ' : Q'Q = 3 : 1
Step-by-step explanation:
As Given In Question
We Have A Triangle With Side PQ=8cm
PQ' = 3/4 * PQ
PQ' = 3/4 * 8
PQ' = 6 cm
& Q'Q = PQ - PQ'
= 8 - 6 = 2cm
so the line segment PQ is divided into PQ' : Q'Q = 3 : 1
don’t really get this pls help
Answer:
B
Step-by-step explanation:
It should be B
PLEASE HELP!!
Find the area of the following triangle enter the exact answer as a decimal
Answer:
75.06239187
Step-by-step explanation:
1/2bh= Area of a Triangle
6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.
36+b^2=72.25
b^2=36.25
b=6.02
6.02+19= base
25.02
Now area
1/2bh
1/2 (25.02*6)
25.02*6= 150.1247
150.1247/2= 75.06239187 is Area
The above decimals before area are rounded.
Un vendedor de frutas tiene cierto número de mangos, vende 3/5 de ellos más dos mangos; luego vende 1/3 de los restantes más dos mangos, luego vende la mitad del saldo más un mango. Finalmente vende los 24 restantes, el número de mangos inicial empieza con la cifra
Respuesta:
200 mangos
Explicación paso a paso:
Dado :
Sea el número inicial de mangos = x
Primera venta:
3 / 5x + 2
Número a la izquierda = x - (3 / 5x + 2) = 2 / 5x - 2
Segunda venta:
1/3 (2 / 5x - 2) + 2 = 2 / 15x - 2/3 + 2
Cantidad restante:
2 / 5x - 2 - (2 / 15x - 2/3 +2)
2 / 5x - 2 - 2 / 15x + 2/3 - 2
0,2666666x - 3,3333
Tercera venta:
1/2 (0,2666666x - 3,3333) + 1 = 0,133333x - 1,666665 + 1
0.2666666x - 3.3333 - (0.133333x - 1.666665 + 1) = venta final
0,2666666x - 3,3333 - (0,133333x - 1,666665 + 1) = 24
0,2666666x - 3,3333 - 0,133333x + 1,666665 - 1 = 24
0,133333x - 2,666635 = 24
0.133333x = 24 + 2.666635
0,133333x = 26,666635
x = 26,666635 / 0,133333
x = 200.00026
x = 200 mangos
Given that ABCD is a rhombus, what is the value of X?
Answer:
3
Step-by-step explanation:
x=(5x-13)
so you work that equation out
take the 5x to the side of x and equate it to what you get
x=5x-13
5x+x=13+5
6x = 18 = x=3
6 6
x=3
ILL GIVE BRAINLIEST!!
If P = (-1, 7), Find:
r180° (P)
7 x 180 = 1260
1260/2 = 630 is the answer
Answer:
630
Step-by-step explanation:
Can someone help me answer these practice questions
Answer:
A. 3x +3
B. 10x + 4
C. 30x - 50
D. -12x - 21
Step-by-step explanation:
A. 3(x + 1)
1. Multiply 3 times x = 3x
2. Multiply 3 times 1 = 3
3. Put them together 3x + 3
4. Repeat process for other problems.
Let me know if you have any other questions :)
Write a linear equation in two variables to represent the following statement
"the number of Red balls is half the number of the Blue ones"
Answer:
y = x/2
Step-by-step explanation:
Let y represent the number the number of red balls and let x represent the number of blue balls. Since we have that the number of Red balls is half the number of the Blue ones, and the number of red balls equals x, we divide x by 2. So, x/2.
Since x/2 is equal to the number of blue balls and y is the number of blue balls, we write y = x/2.
So, our linear equation in two variables that represents "the statement the number of Red balls is half the number of the Blue ones" is
y = x/2
please help me with this question!
[tex] \cos(theta) = \frac{60}{61} [/tex]
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
pls help
Factor out the GCF
16x - 48
Answer:
16
Step-by-step explanation:
the greatest common factor of 16 and 48 is 16
Factors for 16: 1, 2, 4, 8, and 16.
Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..
Answer:
ratio is 1/2
Step-by-step explanation:
r=8/16 =1/2
Answer:
1/2
Step-by-step explanation:
16 * 1/2 = 8
8 * 1/2 = 4
4 * 1/2 = 2
Hope this helps!
please help.
What is the slope of the line given by the equation y = 2x + 6?
Answer:
The slope is 2 and the y intercept is 6
Step-by-step explanation:
y = 2x+6
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is 6
Answer:
2
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
y = 2x + 6
m = 2
Slope is 2
Find the area of the shaded region for the given figure in terms of x.
X-1
X + 2
X-1
X + 2
Answer:
Area of the shaded region = (6x + 3)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the small rectangle
Area of the large rectangle = Length × Width
= (x + 2)(x + 2)
= (x + 2)²
= x² + 4x + 4
Area of the small rectangle = (x - 1)(x - 1)
= (x - 1)²
= x² - 2x + 1
Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)
= 6x + 3
Area of the shaded region = (6x + 3)
What is the solution to the system of equations
Answer:
x=4 and y=−2
Step-by-step explanation:
Let's solve your system by substitution.
3x+8y=−4;2x−4y=16
Step: Solve 3x+8y=−4 for x:
3x+8y=−4
3x+8y+−8y=−4+−8y(Add -8y to both sides)
3x=−8y−4
3x/3=−8y−4/3 (Divide both sides by 3)
x=−8/3y+−4/3
Step: Substitute −8/3y+−4/3 for x in 2x−4y=16:
2x−4y=16
2(−8/3y+−4/3)−4y=16
−28/3y+−8/3=16 (Simplify both sides of the equation)
−28/3y+−8/3+8/3=16+8/3 (Add 8/3 to both sides)
−28/3y=56/3
−28/3y/−28/3=56/3/−28/3 (Divide both sides by (-28)/3)
y=−2
Step: Substitute−2 for y in x=−8/3y+−4/3:
x=−8/3y+−4/3
x=−8/3(−2)+−4/3
x=4 (Simplify both sides of the equation)
So the Answers are: x=4 and y=−2 or u can switch it around y=−2 and x=4
Find the measure of DF
Answer:
144 = arc DF
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
72 = 1/2 arc DF
Multiply by 2
2*72 = arc DF
144 = arc DF
Only answer if you’re sure of it. FAST!!
A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.
please answer quickly easy 15 points but please answer quick
Answer:
24.25 feet
Step-by-step explanation:
Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
x = 7
S.A.S
Step-by-step explanation:
2x + 14 = 4x
2x = 14
x = 7
if sin a=4 by 5,determine cos a
Answer:
3/5
Step-by-step explanation:
[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]
Adjacent side² = hypotenuse² - opposite side²
= 5² - 4²
= 25 - 16
= 9
Adjacent side = √9 = 3
Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]
Sin = 4/5 = Perpendicular/hypotenuse
CosA = Base/hypotenuse
Base = √hyp. ^- prep.^
Base= 3/5
May it helps youANSWERRRR QUICKKKK PLEASEEEE
Answer: sqrt(2)/2 which is choice D
======================================================
Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
------------
Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
if 1,a,5 and 15 are in proportion ,find the value of a
Answer:
a=3
Step-by-step explanation:
Given :
1:a :: 5: 15
To find a
a=15×1/5
a=3
Therefore, value of a =3
Write the standard equation of the circle with center (6,-1) and radius 7.4.
Answer:
C.
Step-by-step explanation:
You do the opposite to the numbers when plugging them into the equation and what they equal will be the radius squared.
6 goes to -6 and -1 turns to 1.
7.4 squared= 54.76
Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]
Option (C) is correct
What is a circle?"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."
What is center of a circle?"The center of a circle is the point which is equidistant from all points on the circle."
What is the radius of circle?"The constant distance between the center and any point of the circle is called its radius."
We have,
Center (h, k) = (6,-1)
Radius r = 7.4
We know,
Standard equation of the circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Substitute the values of h, k, r in standard equation of circle
[tex](x-6)^{2}+(y+1)^{2}=(7.4)^{2}[/tex]
⇒[tex](x-6)^{2}+(y+1)^{2} = 54.76[/tex]
Hence, Standard equation of the circle with center (6,-1) and radius 7.4 is [tex](x-6)^{2}+(y+1)^{2} =54.76[/tex]
∴ Option (C) is correct
Learn more about Circle, Center and radius of circle here
https://brainly.com/question/13658927
#SPJ2
help me pls and solve for x
Answer:
See below.
Step-by-step explanation:
sin(71) = x/23
x = sin(71) * 23
x = 21.75
Answer:
21.75 (2 digit after decimal)
Step-by-step explanation:
Sin theta = perpendicular/hypotenuse
sin 71=x/23
23 sin 71=x
x=21.747
Imperial measurement systems please show all work in a neat manner thank you !
Answer:
1. Ethan
2. 2.5 tons
3. 72 in
4. 5.7 mi
Step-by-step explanation:
1. Convert to pints by multiplying gallons by 4 to get quarts and quarts by 4 to get pints then compare.
2. Divide pounds by 2000 to get tons
3. Multiply by 12
4. Divide by 5280 to turn feet into miles
