Answer:
As 3-4-5 5-12-13 is a right triangle
5^2 + 12^2 = 25 * 144 = 169 = 13^2
Not sure how POR is designated, but
cos theta = 12/13 = .923 theta = 22.6 deg
sin theta = 5/13 = .385 theta = 22.6 deg
Let f(x) = 5x2 – 4x and g(x) = 5x + 1.
Find f – g.
Answer:
[tex]5x^2-9x-1[/tex]
Step-by-step explanation:
f - g
[tex]=5x^2-4x -(5x+1)\\\\=5x^2-4x-5x-1\\\\=5x^2-9x-1[/tex]
How do you solve for x in this using trignometric ratios
Answer:
[tex]x= 23.775.[/tex]
Step-by-step explanation:
[tex]\text{We have} \\\cos(18\textdegree) = \frac{x}{25} \\\Rightarrow x= 25\cos(18\textdegree)\\\Rightarrow x= 25 \times 0.951\\\Rightarrow x= 23.775.[/tex]
I REALLY NEED HELP, PLEASE!
EXPLAINING UR ANSWER = BRAINLIEST
A prism with volume 7750 cm³ is dilated by a factor of 1/5.
The volume of the dilated prism is ___ cubic centimeters.
Answer:
1550m^3
Step-by-step explanation:
Volume of the prism= 7750m^3
Factor of dilated prism= 1/5
7750×1/5= 1550m^3
Which statements are true? Select all that apply.
A. The amplitude of y = 2 sin(12x) is 12.
B. The period of y = 2 sin(12x) is π.
C. The amplitude of y = 2 sin(12x) is π2.
D. The period of y = 2 sin(12x) is 4π.
E. The period of y = 2 sin(12x) is 12.
F. The amplitude of y = 2 sin(12x) is 2.
I need to find the sum of the interior angel
If f(x) = 4x + 5,, determine f(-2).
a. -7/4
b. 13
c. -3
d. 7
Answer:
C
Step-by-step explanation:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
Answer:
-3
Step-by-step explanation:
f(x) = 4x + 5
Let x = -2
f(-2) = 4(-2) + 5
=-8+5
-3
does anyone know how to solve this? asap please:((
Answer:
D)
Step-by-step explanation:
All sides are congruent because all sides are the same.
Hope this helps!
-kiniwih426
Cho alpha+ beta+ gamma = pi. Chứng minh A) sin alpha + sin beta + sin gamma = 4cos alpha/2*cos beta/2*cos gamma /2
Answer:
It is proved .
Step-by-step explanation:
[tex]\alpha +\beta +\gamma =\pi.....(1)\\\\sin\alpha + sin\beta +sin\gamma=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Take LHS
[tex]=sin\alpha + sin\beta +sin\gamma\\\\=2 sin \frac{\alpha +\beta }{2} cos\frac{\alpha -\beta }{2} + sin\gamma\\\\=2 sin\frac{180-\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}cos \frac{\alpha - \beta}{2}+2 sin\frac{\gamma}{2}cos\frac{\gamma}{2}\\\\=2 cos\frac{\gamma}{2}\left [ cos \frac{\alpha - \beta}{2}+sin\frac{180-\alpha-\beta}{2}\\ \right ]\\\\=2 cos\frac{\gamma}{2}\times 2 cos\frac{\alpha}{2}cos\frac{\beta}{2}\\[/tex]
[tex]=4 cos\frac{\alpha}{2}cos\frac{\beta}{2}cos\frac{\gamma}{2}[/tex]
Hence proved.
What's the probability of randomly selecting an odd number from the numbers 1-10?
Answer:
There is a 50% chance of getting a odd number.
Step-by-step explanation:
1-10 have 5 old numbers and they are 1, 3, 5, 7, and 9.
5/10 = 0.5 = 50%
5 out of 10
What is the solutions to the 2 system of equations? The X and Y have to be the same for both equations.
5x+4y=12
3x+6y=8
Answer:
x = 5, y = 7
Step-by-step explanation:
x – y = -2 ——— 1
5x – 4y = -3 —– 2
x = -2 + y ——— 3
3 in 2 ≈ 5(-2 + y) – 4y = -3
-10 + 5y – 4y = -3
y = -3 + 10
y = 7
Putting y = 7 in 3, we have;
x = -2 + (7)
x = 5
Hence (x, y) = (5, 7)
Find an area of a circle if the diameter of the circle is 40 cm
Answer:
1256cm^2
Step-by-step explanation:
The area of a circle is πr^2.
The radius is half of the diameter, so it's 20 cm.
A=3.14*(20cm)^2
A=3.14*400cm^2
A=1256cm^2
find the value of x what makes DEF ~ XYZ
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).
Given:
The given equation is:
[tex]y=-4x+3[/tex]
A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
We have,
[tex]y=-4x+3[/tex]
Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,
[tex]m\times (-4)=-1[/tex]
[tex]m=\dfrac{-1}{-4}[/tex]
[tex]m=\dfrac{1}{4}[/tex]
The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:
[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]
[tex]y=\dfrac{1}{4}x-1-1[/tex]
[tex]y=\dfrac{1}{4}x-2[/tex]
Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].
i’ll give brainilist . Mrs.Shivers, the 8th grade guidance counselor, solved for the value of x in the triangle below. She said that x=70 based off what Ms.Willis taught her. Which of the following statements best justifies Mrs.Shiver's answer?
Answer:
she is correct
Step-by-step explanation:
because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.
and a straight line has an angle of 180
so the inside of the C angle is 50
60+50+70=180
If the supplement of an angle is 4 times of its compliment, find the angle.
PLSSSSSSSSSSS HELP ASAP
Answer:
The angle is 60°
Step-by-step explanation:
A supplement angle is the angle whose sum is equal to 180°.
The supplement angle = 180° - x
A complement angle is the angle whose sum is equal to 90°.
The complement angle = 90° - x
Given,
supplement angle = 4 × complement angle
(180° - x) = 4 × (90° - x)
180° - x = 360° - 4x
4x - x = 360° - 180°
3x = 180°
x = 60°
The supplement angle = 180° - x
⇒ 180° - 60°
⇒ 120°
The complement angle = 90° - x
⇒ 90° - 60°
⇒ 30°
Answer:
The angle is 60 degrees.
Step-by-step explanation:
Let the angle be x.
Then its supplement = 180-x.
Its complement = 90-x, so we have the equation:
180 - x = 4(90 - x)
180 - x = 360 - 4x
-x + 4x = 360 - 180
3x = 180
x= 60 degrees.
Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7
Answer:
The Coordinates are (3, 1)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
Let y = x - 2 be Equation 1
Let y = -2x + 7 be Equation 2
We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.
The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.
For this I'll use equation 1 first,
y = x - 2
1 = 3 - 2
So yes, the coordinates (3, 1) satisfy Equation 1
Lets check equation 2 now,
y = -2x + 7
1 = -2*3 + 7
1 = -6 + 7
This is also another equation where the coordinates (3, 1) satisfy equation 2
So this means that the coordinates (3, 1) are viable for both equations
Hope this helps!
5x + 1 over 2y2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
Step-by-step explanation:
So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.
Pls help me it's urgent pls help me!
Answer:
x/7 - 2 = y
Step-by-step explanation:
To find the inverse of a function, we switch f(x) and x and then solve for f(x). We thus have
x = 7f(x) + 14
subtract 14 from both sides to isolate the f(x) and its coefficient
x - 14 = 7 f(x)
divide both sides by 7 to isolate the f(x)
(x-14)/7 = f(x)
f(x) is synonymous with y here. so we havt
(x-14)/7 = y
This can also be written as
x/7 - 14/7 = y
x/7 - 2 = y
Two points, a and b, are graphed on the number line below. Maynard says there is not enough information to write an inequality statement comparing a and b. Which statement explains whether or not Maynard is correct? a b -10 0 10 Maynard is correct. There is no way to tell which exact numbers a and b represent, so he cannot write an inequality. Maynard is correct. There is no way to tell if a and b are positive or negative, so he cannot write an inequality Maynard is incorrect. On the number line, a is to the left of b. so a Maynard is incorrect. On the number line, a is to the left of b. So a > b.
Answer:
c
Step-by-step explanation:
cellus
Find the composition of transformations
that map APQR to AP'Q'R'.
R
(Р
Translate [?] unit(s)
to the C) and then
reflect over the 0.
P10
R?
3
4
Answer:
Translate 4 units to the left and reflect over the x-axis
Step-by-step explanation: hope this helps :)
The composition of the transformations given in the figure is translate 4 units to the left and then reflect over the X axis.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
After translation, the original figure is shifted from a place to another place without affecting it's size.
After Reflection, figure is flipped. In other words, a figure becomes it's mirror image.
Consider the point P.
Before undergoing reflection, the figure must be above the X axis.
And the point P will be translated 4 units to the left.
After reflection, since the figure moved towards the other side of the X axis, the figure is reflected across the X axis.
Hence the missing parts are filled.
Learn more about Translation and Reflections here :
https://brainly.com/question/30270479
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please help me! what’s the answer?
1) Two points
2) One point
3) One equation
Answer:
I think 2 points
Step-by-step explanation:
I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?
Answer: two points hope it helps
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answer:
8d + 6b = 55
2d + 9b = 32.50
Step-by-step explanation:
let 'd' = # dog bowls
let 'b' + # bones
Rhonda: 8d + 6b = 55
Kelly: 2d + 9b = 32.50
we can multiply Kelly's equation by -4 to eliminate the 'd' terms:
Kelly: -4(2d + 9b) = 32.5(-4)
-8d - 36b = -130
now add the above equation to Rhonda's equation:
-8d - 36b = -130
+ 8d + 6b = 55
-30b = -75
b = 2.50
now we can use either equation and substitute 2.5 for 'b' to find 'd'
2d + 9(2.5) = 32.5
2d + 22.5 = 32.5
2d = 10
d = 5
HELLPPPPPPPPPPP PLEASSSEE IM BEGGING " Which linear function has a greatery-intercept than the function depicted in the graph." ***will mark brainliest*
Answer:
x y
-1 2
0 3
1 1
2 -1
Step-by-step explanation:
Y-intersect of the liner function
Answer:
15
Step-by-step explanation:
The y- intercept is the value of y on the y-axis where the line crosses.
The line crosses the y- axis at 15 ← y- intercept
PLEASE HELP ME PLS PLS!
i need help please i’m confused
Which solid has a great volume
Evaluate 9t when t=5.
ITS NOT 95 already tryed that
Answer:
45
Step-by-step explanation:
9x5=45
Answer:
45
Step-by-step explanation:
9t
substitute 5 for t
9(5)
9(5) is the same as 9 * 5
9 * 5 = 45
so when t = 5 the output is 45
Determine the horizontal asymptote for the rational function.
Answer choices:
A.) y= 1
B.) y= -5
C.) y= 1
D.) y= -1
Answer:
[tex]\text{C) } y=1[/tex]
Step-by-step explanation:
A asymptote represents a control for a function where the function will never touch. We see that as the [tex]y[/tex] approaches 1, [tex]x[/tex] approaches infinity, from either direction. However, the function never touches nor crosses the line [tex]y=1[/tex], and never will. Thus, the horizontal asymptote is located at [tex]y=1[/tex].
y=0 is correct answer but is not in the selection.
Step-by-step explanation:
SOLUTION
For these solutions, we will use \displaystyle f\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}, q\left(x\right)\ne 0f(x)=
q(x)
p(x)
,q(x)≠0.
\displaystyle g\left(x\right)=\frac{6{x}^{3}-10x}{2{x}^{3}+5{x}^{2}}g(x)=
2x
3
+5x
2
6x
3
−10x
: The degree of \displaystyle p=\text{degree of } q=3p=degree of q=3, so we can find the horizontal asymptote by taking the ratio of the leading terms. There is a horizontal asymptote at \displaystyle y=\frac{6}{2}y=
2
6
or \displaystyle y=3y=3.
\displaystyle h\left(x\right)=\frac{{x}^{2}-4x+1}{x+2}h(x)=
x+2
x
2
−4x+1
: The degree of \displaystyle p=2p=2 and degree of \displaystyle q=1q=1. Since \displaystyle p>qp>q by 1, there is a slant asymptote found at \displaystyle \frac{{x}^{2}-4x+1}{x+2}
x+2
x
2
−4x+1
.
Synthetic division of the polynomial x^2-4x+1 by x+2 in which it only contains the coefficients of each polynomial.
The quotient is \displaystyle x - 6x−6 and the remainder is 13. There is a slant asymptote at \displaystyle y=x - 6y=x−6.
\displaystyle k\left(x\right)=\frac{{x}^{2}+4x}{{x}^{3}-8}k(x)=
x
3
−8
x
2
+4x
: The degree of \displaystyle p=2\text{ }<p=2 < degree of \displaystyle q=3q=3, so there is a horizontal asymptote y = 0.
PLEASE HELPPP TEST TMR PROBLEM ISW IN PHOTO BELOW
Answer:
AB = A'B', AD = A'D', CD = C'D', CB = C'B'
Step-by-step explanation:
There is more then one way to give this problem a solution. The point of the question is to explain or provide an argument that will prove that the square ABCD is the same as A'B'C'D.
The way to prove it is by saying that the sides are equal, meaning the answer I provided above, by claiming that side AB is also equal to A'B', and so forth with all four sides.
how many edges does a rectangular have