Step-by-step explanation:
x^2+6x+5=0
x^2+5x+1x+5=0
x(x+5)+1(x+5)
(x+5)(x+1)
x+5=0 x+1=0
x=-5 x=-1
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.
of sales tax is 6%, what is the final price of a Microwave oven whose list price is $110.00?
Laura invested $1000 in a college saving account for her children that had an annual interest rate of 11% compounded continuously after 20 years how much money is in her account
Answer:
$2200
Step-by-step explanation:
1000*11%*20=2200
factor out the gcf from each polynomial 30x^2-18x^3+6x^4
Answer:
43
Step-by-step explanation:
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]
Plz help will give brainliest!
Answer:
8.7
Step-by-step explanation:
(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
Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
Please help me find the volume :3
9514 1404 393
Answer:
(d) 539 mm³
Step-by-step explanation:
The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.
volume of bottom part
V = LWH
V = (13 mm)(7 mm)(4 mm) = 364 mm³
volume of the top part
V = (5 mm)(7 mm)(5 mm) = 175 mm³
Then the total volume is ...
364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure
Help help help help help help
Answer:
volume = 160 cm³
Step-by-step explanation:
volume = 4 x 4 x 10 = 160 cm³
The legs of a right triangle measure 5 and 8. What is the length of the hypotenuse?
[tex]\sqrt{89}[/tex]
Hope This Helps You!
Good Luck Studying ^-^
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%
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
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 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
Pind the distance between -5 and 8.
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8 9 10 11 12 13
The distance is 12
Edit: I did it wrong, sorry
---
hope it helps
Answer:
The distance between the two points is 13 units
Step-by-step explanation:
on a graph, to find the distance you can either count each square/unit or you could add the points together not counting if they're negative or not
basically just add them in absolute value |-5| + 8= 13
hope this helps <3
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
A container truck needs to transport goods from Glenville to Summerview. The container is a rectangular prism. It has a length of 18 feet, a width of 7 feet, and a height of 6 feet. What is the volume of the container? A. 672 cubic feet B. 882 cubic feet C. 756 cubic feet
Volume of the container is option C. 756 cubic feet.
What is Rectangular Prism?Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.
Volume of a three dimensional shape is the space occupied by the shape.
Volume of a rectangular prism = Length × Width × Height
Given,
Length = 18 feet
Width = 7 feet
Height = 6 feet
Volume = 18 × 7 × 6 = 756 feet³
Hence 756 cubic feet is the volume of the container.
Learn more about Rectangular Prism here :
https://brainly.com/question/21308574
#SPJ1
Can someone answer this for me quickly!
Answer:
0.5
Step-by-step explanation:
If the 30 is in degrees, then the answer is 1/2 or 0.5. If the 30 is in radians, then your answer is -1.0.
Answer:
x = [tex] \boxed{\dfrac{1}{2}} [/tex] units
[As a fraction]
x = [tex] \boxed{0.5} [/tex] units
[As a decimal]
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°
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!
what is the slope of the line that passes through 4,-2 and -8,6
Answer:
Slope is -2/3
Step-by-step explanation:
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
(13+3x) + 166 = 180
Answer:
ye
Step-by-step explanation:
Answer:
x=1/3
Step-by-step explanation:
How many points need to be removed from this graph so that it will be a function?
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.
Okay have posted the next question.
Answer:
1. only 1 unique triangle can be made
2. only 1 unique triangle can be made
3. multiple triangles are possible
4. True
5. True
6. False
7. only 1 unique triangle can be made
8. only 1 unique triangle is possible
9. multiple triangles are possible
10. no triangle is possible
Step-by-step explanation:
Ask in comments if you got any questions.
Answer:All are correct I think.
Step-by-step explanation:
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.
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
Somebody please help and explain it.
Explanation is in the file
tinyurl.com/wpazsebu
