Answer:
4
Step-by-step explanation:
By Using the Transformations of the parabola
[tex]y = -(x+5)^2+7\\y=4x^{2} +7\\y = -(x-2)^2+3[/tex]
Vertical Translation move the graph vertically - up or down[tex]y = x^2+ k[/tex]
Horizontal Translation move the graph horizontally - left or right[tex]y = (x - h)^2[/tex]
Reflection in x-axis
flip the graph over the x-axis, (negates the y-values of the coordinates)[tex]y = -(x^2)[/tex]
Reflection in y-axis
flip the graph over the y-axis,(negates the x-values of the coordinates)[tex]y = (-x)^2[/tex]
Stretch or Compress Verticallystretches away from the x-axis or compresses toward the x-axis
[tex]y = a .x^2[/tex]
| a | > 1 is a stretch;
0 < | a | <1 is a compression
Stretch or Compress Horizontallystretches away from the y-axis or compresses toward the y-axis
[tex]y=\frac{1}{a} x^{2}[/tex]
| a | > 1 is a compression by factor of 1/a;
0 < | a | <1 is a stretch by factor of 1/a
Now, we have [tex]y=x^2[/tex]
4). Reflect over x-axis, shift to the left 5 units, shift up 7 units
[tex]y = -(x+5)^2+7[/tex]
5) Vertical stretch by a factor of 4, shift down 11 units
[tex]y=4 x^{2} +7[/tex]
6) Vertical compression by a factor of, reflect over x-axis, shift to the right 2 units, shift up 3 units.
[tex]y=-(x-2)^{2} +3[/tex]
Learn more:https://brainly.com/question/20369546
51×59 evaluate and answer
Please help! Thanks thO!
Answer:
8
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle
7x - 4 + 9x + 4 = 128° add like terms
16x = 128 divide both sides by 16
x = 8
How many of the numbers between 8 and 65 are a multiple of 7?
A) 5
B) 6
C) 7
D) 8
Answer:
8 is the answer.
8 numbers between 8 and 65 are a multiple of 7
.) One mile is equal to about 1.6 kilometers. If the distance between two cities is 8 kilometers, then how many how many miles is that equal to?
Answer:
5
Step-by-step explanation:
8/1.6 = 5 divide the two and get the answer!
Brainliest please!
Answer:
5 miles
Step-by-step explanation:
divide 8 by 1.6
If A=,[2 5 7],find the value of
[1 4 9]
[8 3 6]
a23+a12-a32 matrix.
Answer:
THE CORRECT ANSER OF THIS QUESTION IS 5.
Step-by-step explanation:
Here,
a23=6
a12=5
a32=6
Now,
a23+a12-a32
=6+5-6
=5
Please hurry!!
If a gas with a pressure of 1 atm and a volume of 2 L is put into a 5 L container, what happens to the pressure?
A. Increase
B. Decreases
C. Remains the same
D. Not enough information
Answer:
A
Step-by-step explanation:
The gas will increase
Have a great day
What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFraction pi Over 18 EndFraction) ) gets raised to the 6thpower?
ill give brainiest :3
Answer:
On the test I took the correct answer is c
Step-by-step explanation:
I took the test
The modulus= 27 and Argument = π/3
What is Argument?The angle inclining from the real axis in the direction of the complex number shown on the complex plane is known as the argument of a complex number.
Given:
z = √3 (cos (π/18) + i sin (π/18))[tex]^{6[/tex]
Now, z = [tex](\sqrt{3}) ^6[/tex] (cos (π/18) + i sin (π/18))[tex]^{6[/tex]
z = 27 (cos (π/18) + i sin (π/18))[tex]^{6[/tex]
As, A complex equation can be expressed as:
z [tex]= |z |e^{i\theta[/tex]
where z= Modulus and [tex]\theta[/tex] is an argument
and, [tex]e^{i\theta =[/tex] cos (π/18) + i sin (π/18)
Then, z = 27 ([tex]e^{i(\(\pi/18)}^6[/tex])
and [tex]e^{i\theta =[/tex] [tex]e^{i(\(\pi/18)}^6[/tex]
Now comparing
[tex]i\theta =i \pi/18[/tex] x 5
[tex]\theta = \pi/3[/tex]
Learn more about Argument here:
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I would love your guys help! Thanks! I will give 75 points! Just look at the picture! I just need the answer to 1.
Answer:
its 0.12
Step-by-step explanation:
Identify the function shown in this graph.
A.
y
=
1
2
x
+
1
y=
2
1
x+1
B.
y = –2x – 1
C.
y = –2x + 1
D.
y = 2x – 1
Answer:
b
Step-by-step explanation:
B.................
13 points hurry fast answer both number 19 and 20 plz with an explination!!!!!!!
Answer:
I don't get it
Step-by-step explanation:
but okay!!!!?!!?!?!?
Evaluate (2 * x - 4) for x = 2
Answer:
0
Step-by-step explanation:
The expression we are given is (2 * x - 4).
We need to find the value of expression when x = 2.
Let's substitute 2 in as x.
Now our expression is (2 * 2 - 4).
First, let's multiply our 2 with our substituted 2.
1. 2 * 2 = 4
We're left with (4 - 4).
Finally, let's evaluate this expression.
2. (4 - 4) = 0.
Our answer is 0.
So (2 * x - 4) when x = 2 is 0.
Feel free to give brainliest.
Have a great day!
can u create an algebraic equation to describe the relationship between the term value and its position in the pattern given below :
termnumber: term value:
1 . 3
2. 12
3. 21
4. 30
term value:3,12,21,30.
Answer:
t(n+1) = t(n) +9
Step-by-step explanation:
Let the Term position be represented by n.
and term value is represented by t.
so term value at any position can be represented by t(n).
Here look closely
t(1)=3, t(2)=12, t(3)=21, t(4)=30
By examining, we notice that the next term is 9 more than the previous one.
e.g
t(2)= t(1)+9
3+9
t(2)=12
t(3) = t(2)+9
t(3) = 21
we can represent them in mathematical form as:
t(n+1) = t(n) +9
I am having a party. I purchase:
x pizzas, y 12-packs of soda, and zcupcakes for a party. If each pizza costs $7.50, each 12-pack of soda costs $3.25, and each cupcake cost $0.75, write an equation for the total cost, t,in terms of x, y and z.
Calculator
Given j | k and mZ1 = 40".
8/1
What is mZ6?
7/2
k
Enter your answer in the box.
63
54
mZ6 =
Answer:
65 oop
Step-by-step explanation: o0iiutdgc vhy
What is 40 to the 3rd power
Answer:
64000
Step-by-step explanation:
sorry if wrong
Answer:
64000
Step-by-step explanation:
find the circumcenter
Answer: (0, -2)
Step-by-step explanation:
The regular cost for tickets to an outdoor concert is $10 per person. If the temperature is above 90°F, the venue offers a discount of $4 off per person. Today the temperature is 35°C. What is the total cost for a group of 12 people to go to the outdoor concert today? A. $6 B. $10 C. $72 D. $120
Answer:
C. $72
Step-by-step explanation:
if you could help me with this i would be very thankful
Answer:
Δ QRS is an obtuse triangle ⇒ according to its angle
Δ QRS is an isosceles triangle ⇒ according to its sides
Step-by-step explanation:
In Δ QRS
∵ m∠Q = 8x - 17
∵ m∠R = 19x + 4
∵ m∠S = 5x + 1
→ The sum of the interior angles of a Δ is 180°
∴ m∠Q + m∠R + m∠S = 180°
→ Substitute their values in the equation above
∵ 8x - 17 + 19x + 4 + 5x + 1 = 180
→ Add the like terms
∴ (8x + 19x + 5x) + (-17 + 4 + 1) = 180
∴ 32x + (-12) = 180
∴ 32x - 12 = 180
→ Add 12 to both sides
∵ 32x - 12 + 12 = 180 + 12
∴ 32x = 192
→ Divide both sides by 32
∵ [tex]\frac{32x}{32}[/tex] = [tex]\frac{192}{32}[/tex]
∴ x = 6
→ Substitute the value of x in each measure of angles to find them
∵ m∠Q = 8(6) - 17 = 48 - 17
∴ m∠Q = 31°
∵ m∠R = 19(6) + 4 = 114 + 4
∴ m∠R = 118°
∵ m∠S = 5(6) + 1 = 30 + 1
∴ m∠S = 31°
∵ m∠R > 90°
∴ ∠R is an obtuse angle
∴ Δ QRS is an obtuse triangle
∵ m∠Q = m∠S
→ In any Δ if two angles are equal in measures, then the two sides
opposite to these angles are equal in length and the Δ is isosceles
∴ RQ = RS
∴ Δ QRS is an isosceles triangle
How many lines of symmetry
Answer:
Zero lines of symmetry
Step-by-step explanation:
what is the rate of change between the points (0,0) and (2,100)?
Answer:
The answer is 50.
Step-by-step explanation:
What is the zero of f ?
Please answer correctly !!!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer: Angle MNO
Step-by-step explanation: Supplementary angles equal 180, or a straight line.
Answer: 14
MNJ is angle 13 so angle 14 is the other angle that makes a straight line or 180°.
Find the slope of the line graphed below.
Answer:
-2/3
Step-by-step explanation:
rise over run is 4/-6 = -2/3
Write an algebraic expression for the verbal expression.
5 times a number n
Idk what to do
Answer:
5 x n
Step-by-step explanation:
This is the answer because:
1) 5 times a number n is just 5 times n
Hope this helps!
The Mariana Trench in the Pacific Ocean the deepest known place in any of the world's oceans. Which of the following numbers would be the most reasonable estimate for its depth?
Step-by-step explanation:
what is the numbers to choose from
4)_Slope = 4; contains (-5, - 13)
I need help please
Answer:
The equation of the line with slope = 4 and point (-5, -13)
will be:
[tex]y=4x+7[/tex]Step-by-step explanation:
Given
slope = m = 4point = (-5, -13)As the point-slope form of the equation of line is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope.
substituting the values m = 4 and the point (-5, -13)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-13\right)=4\left(x-\left(-5\right)\right)[/tex]
[tex]y+13=4\left(x+5\right)[/tex]
subtract 13 from both sides
[tex]y+13-13=4\left(x+5\right)-13[/tex]
[tex]y=4x+7[/tex]
Therefore, the equation of the line with slope = 4 and point (-5, -13)
will be:
[tex]y=4x+7[/tex]
Help me I will give u brainlest
Answer:
(4,0)
Step-by-step explanation:
plz give brainliest!
Answer:
4,0
Step-by-step explanation:
Find the values of X and Y.
Answer:
They are axis so it would be 6 for x and 15 for y
Step-by-step explanation:
**PLEASE HELP I NEED IT WITHIN 20 MINUTES**
These are Trig Ratios and you can read the instructions to solve question 15 & 16 (if you can please show the work it would be greatly appreciated)
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions[1][2]) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena, through Fourier analysis.
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their side lengths are proportional. Proportionality constants are written within the image: sin θ, cos θ, tan θ, where θ is the common measure of five acute angles.
The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. Each of these six trigonometric functions has a corresponding inverse function (called inverse trigonometric function), and an equivalent in the hyperbolic functions as well.[3]
The oldest definitions of trigonometric functions, related to right-angle triangles, define them only for acute angles. To extending these definitions to functions whose domain is the whole projectively extended real line, geometrical definitions using the standard unit circle (i.e., a circle with radius 1 unit) is often used. Modern definitions express trigonometric functions as infinite series or as solutions of differential equations. This allows extending the domain of sine and cosine functions to the whole complex plane, and the domain of the other trigonometric functions to the complex plane (from which some isolated points are removed).
Contents
Right-angled triangle definitions Edit
A right triangle always includes a 90° (π/2 radians) angle, here labeled C. Angles A and B may vary. Trigonometric functions specify the relationships among side lengths and interior angles of a right triangle.
Plot of the six trigonometric functions, the unit circle, and a line for the angle θ = 0.7 radians. The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point. Sin(θ), Tan(θ), and 1 are the heights to the line starting from the x-axis, while Cos(θ), 1, and Cot(θ) are lengths along the x-axis starting from the origin.
In this section, the same upper-case letter denotes a vertex of a triangle and the measure of the corresponding angle; the same lower case letter denotes an edge of the triangle and its length.
Given an acute angle A = θ of a right-angled triangle, the hypotenuse h is the side that connects the two acute angles. The side b adjacent to θ is the side of the triangle that connects θ to the right angle. The third side a is said to be opposite to θ.
If the angle θ is given, then all sides of the right-angled triangle are well-defined up to a scaling factor. This means that the ratio of any two side lengths depends only on θ. Thus these six ratios define six functions of θ, which are the trigonometric functions. More precisely, the six trigonometric functions are:[4][5]
sine
{\
Three Linear Variables
Answer:
23 yellow, 30 pink and 12 blue balls
Step-by-step explanation:
Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.
From 1st sentence:
y +p +b +x= 90
"60 of them are not pink"
➜ y +b +x= 60
Given that 25 are black, x= 25.
"67 of them are not yellow"
➜ p +b +x= 67
Subst. x= 25 into the above equations:
y +p +b +25= 90
y+ p +b= 65 -----(1)
y +b +25= 60
y +b= 35 -----(2)
p +b +25= 67
p +b= 42 -----(3)
I will rewrite the 3 equations for better clarity:
y +p +b= 65 -----(1)
y +b= 35 -----(2)
p +b= 42 -----(3)
(1) -(2):
p= 65 -35
p= 30
(1) -(3):
y= 65 -42
y= 23
Substitute p= 30 and y= 23 into (1):
23 +30 +b= 65
b= 65 -53
b= 12
Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.
