Point Form: ( 1 , − 3 )
Equation Form: x = 1 , y = − 3
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Brainliest or a thank you please! have a great day/night
please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)
Answer:
You simply take the values away from 180°.
a) 180-85-65 = 30°
b) 180-37-63=80°
c) 180-52-78=50°
d) 180-102-58=20°
e) 180-100-60=20°
f) 180-105-25=50°
g) 180-127-23=30°
factor out the gcf from each polynomial 30x^2-18x^3+6x^4
Answer:
43
Step-by-step explanation:
The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
108.62ft
Step-by-step explanation:
12348=⁴/3×3.14×r²
r²=12348×¾÷3.14
r²=2,949.36
r=squareroot of 2,949.36
r=54.308
d=2r
d=54.308×2
d=108.616
(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2
Answer:
The length of the arc is approximately 2.0944
Step-by-step explanation:
The given parameters are;
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°
The circumference of the circle, C = 2·π·r
∴ C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
∴ l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.0944
The length of the arc is approximately 2.09
The intersection of the unit circle a circleFrom the question, we have the following parameters
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
The line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
Determine the subtended angle
The angle subtended by the arc is expressed as:
θ = 2 × arctan((√3/2)/(1/2))
θ = 120°
The circumference of the circle, C = 2·π·r
C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.09
The length of the arc is approximately 2.09
Learn more on length of an arc here:https://brainly.com/question/2005046
The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
A. f(x)=-3(x+1)(x-5)
B.f(x)=-3x^2+12x+15
C.f(x)=-3(x-2)^2+27
what is the vertex?
( , )
Answer:
C Vertex is (2, 27)
Step-by-step explanation:
C Vertex is (2, 27)
would the answer be 36?
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
Perform the operation.
(x^2 + 8x + 8) + (-10x2 + 5x)
Answer:
-9x^2+13x+8
Step-by-step explanation:
Combine like terms-
(x^2 + 8x + 8) + (-10x^2 + 5x)
8x+5x = 13x
(x^2 + 8x + 8) + (-10x^2 + 5x)
-10x^2+x^2 = -9x^2
(x^2 + 8x + 8) + (-10x2 + 5x)
and 8 is just left over, so we put that all together and get...
-9x^2+13x+8
Good luck, have a great day!
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
a
2.1 cm
2.9 cm
Find the value of a.
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
what is the slope of the line that passes through 4,-2 and -8,6
Answer:
Slope is -2/3
Step-by-step explanation:
I need help with this math problem on get more math the photo is at the top
Answer:
30
Step-by-step explanation:
6x5=30 Just took the test and got 100%
Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)
Answer:
y = 2x + 1
Step-by-step explanation:
Hope this helps!
Please help I an desperate
Answer:
A
Step-by-step explanation:
Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.
This problem can be explained with sin law,
[Assume KL = 4cm]
(sin15)/4 = (sinL)/11
L = 45.4° or 135° (3 sig. fig.)
Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Mary Beth has a ribbon that is 15 cm long. Alicia has a ribbon that is 9 cm long. How many centimeters of ribbon do they have?
Answer:
24cm
Step-by-step explanation:
The ribbons they both have can be found by adding 15 to 9
15 + 9 = 24cm
Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.
Answer:
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
Step-by-step explanation:
Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.
To find - He asked his students to create an equation or inequality with
this value as a solution.
Proof -
Given that, The value statement is ''x = 2''
We have to find out that equation in such a way that if we solve the equation , we get the value x = 2
There can be infinite many equation that give the value statement '' x = 2''
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
And many more.
Verification -
1. 2x = 4
⇒x = [tex]\frac{4}{2}[/tex]
⇒x = 2
Verified
2. 3x + 9 = 15
⇒3x = 15 - 9
⇒3x = 6
⇒x = [tex]\frac{6}{3}[/tex]
⇒x = 2
Verified
3. x + 5 = 7
⇒x = 7 - 5
⇒x = 2
Verified
4. 5x - 2 = 8
⇒5x = 8 + 2
⇒5x = 10
⇒x = [tex]\frac{10}{5}[/tex]
⇒x = 2
Verified
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY
Answer:
451054547.5Since total sum of interior angles of a triangle is 180 Do the calculation you will get it
Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented
Answer:
A
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times in the data set while the other values appear only once.
Mode is a measure of central tendency
Other measures of central tendency includes : mean and median
Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most
Blue has the highest relative frequency value
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
Answer:
Step-by-step explanation:
-6 3/5 - (-7 4/15) + 2 1/5
Combine the first and third terms first
-6 3/5 + 2 1/5 = - 4 2/5
Now deal with the second term
- (- 7 4/15) = 7 4/15
7 4/15 - 4 2/5
7 4/15 - 4 6/15 Add 15/15 to 7 4/15 Subtract 1 from the 7
6 19/15 - 4 6/15
2 13/15
Write an equation of a parabola opens upwards and has vertex (7, - 6).
Any help?
Answer:
f(x) = x² - 14x + 43
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (7, - 6 ) , then
f(x) = a(x - 7)² - 6
Since the parabola opens upwards then a > 0
let a = 1
f(x) = (x - 7)² - 6 ←in vertex form
f(x) = x² - 14x + 49 - 6
f(x) = x² - 14x + 43 ← in standard form
Help help help help help help
Answer:
volume = 160 cm³
Step-by-step explanation:
volume = 4 x 4 x 10 = 160 cm³
Find two positive consecutive integers such that the square of the first added to three times the second is 24
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.
Plz help will give brainliest!
Answer:
8.7
Step-by-step explanation:
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
Help!!!!!! Quick answers pls
[tex]8 \frac{9}{18} [/tex]
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
Jenna's only source of income is from her job at a car wash, where she works 25 hours each week. She is paid $9.90 per hour. What is her net weekly income if she pays $30.70 in payroll tax each week?
Answer: 216.8$
Step-by-step explanation:
25 x 9.9 = 247.5
247.5 - 30.70 = 216.8
