Answers
Answer:
Step-by-step explanation:
[tex]1) (x-2)+\frac{6}{x-2} \\=\frac{(x-2)(x-2)+6}{x-2}\\ =\frac{x^{2}-4x+4+6}{x- 2}\\=\frac{x^{2}-4x+10}{x-2}[/tex]
[tex]2)(x+3)+\frac{10}{x-2} \\=\frac{(x+3)(x-2)+10}{x-2}\\ =\frac{x^{2}+3x-2x-6+10}{x-2}\\=\frac{x^{2}+x+4}{x-2}[/tex]
[tex]3)(x+1)+\frac{6}{x-2} \\=\frac{(x+1)(x-2)+6}{x-2}\\ =\frac{x^{2}-2x+x-2+6 }{x-2}\\=\frac{x^{2}-x+4}{x-2}[/tex]
[tex]4)(x-3)+\frac{10}{x-2} \\=\frac{(x-3)(x-2)+10}{x-2}\\ =\frac{x^{2}-3x-2x+6+10 }{x-2}\\=\frac{x^{2}-5x+14}{x-2}[/tex]
Related Questions
Select all of the terms that apply to the shape. pentagon hexagon heptagon octagon nonagon decagon regular polygon irregular polygon concave convex
Answers
Answer: Convex, heptagon, regular polygon
Answer:
Heptagon, Irregular Polygon, and Concave
Step-by-step explanation:
From The figure shown in the picture we can see that it has the following characteristics. These characteristics are the following
7 straight sides2- 90° angles2 angles less than 90°2 angles greater than 180°1 angles greater than 90° but less than 180°Based on these characteristics we can say that the figure meets all the requirements to be classified as Heptagon, Irregular Polygon, and Concave
Heptagon: are figures with 7 straight sides and 7 angles
Irregular Polygons: are polygons that can have sides of any length and each interior angle can be of different angles
Concave: are polygons that have one or more interior angles bigger than 180°
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Jessica bought 10 pieces of candy at the store. She spent $8.60. How much did each piece of candy cost?
Answers
Answer:
Each piece of candy cost
$0.86
Step-by-step explanation:
Step one This problem bothers on well we can do and understand our division of numbers
Step two
Given that Jessica spent $8.60
To buy 10 pieces of candy
Step three
We can get the unit cost of each candy by simply divide the total amount spent by the total Candy purchased
Hence
A candy cost = 8.60/10
= $0.86
Solve x/3 = x+2/2
x=?
Answers
Answer:
x = -6
Step-by-step explanation:
∵ [tex]\frac{x}{3}=\frac{x+2}{2}[/tex]
* These are two equivalent fractions
we can solve by using cross-multiplication way
that means we multiply x by 2 and multiply (x + 2) by 3
∴ 2(x) = 3(x + 2)
* Take care about the multiplication of 3(x + 2) you must
multiply 3 by x and also multiply 3 by 2
∴ 2x = 3x + 6
* Now lets start to collect the like terms
∴ 2x - 3x = 6
∴ -x = 6
* Divide the both sides by -1
∴ x = -6
x = -3/2 (Or) x = -1.5
First apply the rule a/a = 1
2/2 = 1
x/3 = x +1
Multiply both sides by 3
(x/3 * 3) = (x * 3) + (1 * 3)
Simplify
x = 3x + 3
Subtract 3x from both sides
(x - 3x) = (3x + 3 - 3x)
Simplify
-2x = 3
Divide both sides by -2
(-2x / -2) = (3 / -2)
Simplify
x = -3/2
(Decimal: x = -1.5)
Prove: If a chord of a circle makes an angle of 30° with a diameter, prove that the distance from the center to the chord is one-fourth the length of the diameter.
Answers
Answer:
See explanation.
Step-by-step explanation:
Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.
Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,
[tex]OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.[/tex]
Solve
b = 3/4a
a + b = 21
Answers
Answer:
(12, 9)
Step-by-step explanation:
Please enclose fractions inside parentheses in cases such as this one. You meant b = (3/4)a, not b = 3/(4a).
To solve this system, subst. (3/4)a for b in the 2nd equation, obtaining:
a + (3/4)a = 21.
Mult. all 3 terms by 4 to eliminate the fraction 3/4:
4a + 3a = 84
combining like terms: 7a = 84
Solving for a: a = 84/7 = 12.
If a = 12, b = (3/4)a = (3/4)(12) = 9
The solution is (12, 9)
Answer:
a=12
b=9
Step-by-step explanation: Just did it on i-ready and got it right.
a factory buys the boxes it needs to form of flat nets. What advantages might the factory have in doing t his?
Answers
THE ADVANTAGE IS: They can store more containers for higher stocks and space.
The ratio of the perimeters of two rectangles is 5 to 8 . the perimeter of the larger rectangle is 72 inches. What is the perimeter of the smallest triangle?
Answers
ANSWER
45 inches.
EXPLANATION
Let the perimeter of the smaller rectangle be x.
Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is
[tex]x:72=5:8[/tex]
We change the ratio to fraction to obtain,
[tex] \frac{x}{72} = \frac{5}{8} [/tex]
Multiply both sides by 72.
[tex]x = \frac{5}{8} \times 72[/tex]
[tex]x = 5 \times 9 = 45[/tex]
The perimeter of the smaller rectangle is 45 inches.
Answer:
45 inches
Step-by-step explanation:
The 72 inches is 8 parts of the ratio, hence
[tex]\frac{72}{8}[/tex] = 9 inches ← 1 part of the ratio
5 parts = 5 × 9 = 45 inches ← smaller perimeter
You move down 3 units and up 7 units. You end at (-5, 2). Where did you start?
Answers
Answer: (-5, -2) is where you started.
The diameter of your bicycle wheel is 34 inches. What is it’s radius
Answers
Answer:
17 inches
Step-by-step explanation:
1/2(diameter)=radius
1/2(34)=radius
17 inches
Please help me answer this question!!! and explain bc im very stupid and my grades are low. 15 points
Answers
Answer:
17
Step-by-step explanation:
The top angle is 90 degrees, so I would assume that m<1 is 90 degrees. Plugging this into the equation gives us 90 = 4y + 22. Subtract 22 from both sides, and we get 68 = 4y. Divide both sides by 4, and we get 17 = y.
What is two thousand, six hundred nine dollars and seventy five cents written in expanded notation
Answers
Answer:
2000+600+9+.75 maybe?
Step-by-step explanation:
= 2 x 10^3 + 6 x 10^2 + 9 x 10^0 + 7x10^-1 + 5 x 10^-2
It depends how the curriculum or teacher want it written
Question 3 mathematics
Answers
Answer:
Part a) The area of the shaded region is [tex]41\ ft^{2}[/tex]
Part b) The area of the nonshaded region is [tex]87\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area is equal to the area of the shaded region plus the area of the nonshaded region
step 1
Find the total area
The total area is equal to the area of the rectangle
[tex]A=8(16)=128\ ft^{2}[/tex]
step 2
Find the area of the shaded region
The area of the shaded region is equal to the area of the trapezoid minus the area of the smaller square
so
[tex]A=\frac{1}{2}[(8-2)+3)](8+2) -2^{2} \\ \\A=\frac{1}{2}[9](10) -4\\ \\A=41\ ft^{2}[/tex]
step 3
Find the area of the nonshaded region
The area of the nonshaded region is equal to the total area minus the area of the shaded region
so
[tex]A=128\ ft^{2}-41\ ft^{2}=87\ ft^{2}[/tex]
Help me with this !!!!!!
Answers
Answer:
Step-by-step explanation:
Omar knows the numbers to his locker combination are 24,38, and 6
Answers
Answer:
There are 6 possible combinations
Step-by-step explanation:
the number of numbers (3) times the other numbers (2)
a shop rents out bikes for $12 a day and also charges for $9 an hour for people to use.if chimmy chong rented a bike and the total bill came out to be $75, for how long did he rent the bike out for?
Answers
75-12=63
63/9=7
Answer:
7 Hours
Step-by-step explanation:
$75-$12 per day is 63
$63 divided by $9 per hours is 7
Hope this helps and have a blessed day!
please help me find the surface area of the triangular prism ( number 3)
Answers
Check the picture below.
so the triangular prism is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.
let's notice, the triangles have a base of 2.4 and a height/altitude of 1.
[tex]\bf \stackrel{\textit{2 triangles's area}}{2\left[ \cfrac{1}{2}(2.4)(1) \right]}~~+~~\stackrel{\textit{right rectangle}}{(2\cdot 1.5)}~~+~~\stackrel{\textit{left rectangle}}{(2\cdot 1.7)}~~+~~\stackrel{\textit{bottom rectangle}}{(2\cdot 2.4)} \\\\\\ 2.4+3+3.4+4.8\implies 5.4+8.2\implies 13.6[/tex]
A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times.
How many cubic feet of water were needed to fill the pool during the summer?
A. 40 ft³
B. 80 ft³
C. 120 ft³
D. 160 ft³
Answers
Answer:
C. 120 ft^3
Step-by-step explanation:
Area of rectangular prism is Length * Width * Height.
4 * 5 * 2 = 40
It was filled 3 times so multiply 40 by 30
40 * 30 = 120 ft^3
What is the area of the trapezoid?
Answers
Answer:
Hi there!
I got the answer: 88 units^2
Step-by-step explanation:
to find the area you the formula: A=(a+b)/2 times height
"a" in this case is 17 and "b" is 27 because 5+5+17 is 27
height is 4
then you plug what you know into the equation
(17+27)/2 times 4 to get 88
PLEASE ANSWER ASAP!!!
How do states with no personal income tax raise money money for public services?
Answers
Answer:
States with no personal income tax raise money for public services through their property tax.
Step-by-step explanation:
Answer:
States with no personal income tax raise money for public services through their property tax.
Step-by-step explanation:
Step-by-step explanation:
You work for a video streaming company that has two monthly plans to choose from plan1:A flat rate of 7$ per month
Answers
Answer:
Step-by-step explanation:
The cost will be 7$ per month
Best regards
PLEASE HELP!!!
1. A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is a multiple of 3?
2. A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is EVEN?
Enter your answer as a fraction in simplest form
Answers
Hello there (:
1)) Is 3/10
2)) Is 1/2
I hope this helps ya ;)
The diagram shows the net of a juice box. The box is a reactangular prism
Answers
I don’t not know the answer for this question sorry
Answer:
its is B.
Step-by-step explanation:
each separate net has a twin so you find out the area of each net and multiply each one by two
what is 7.5÷46.55 please help
Answers
Answer:
0.16111707
Step-by-step explanation:
Select all that apply
Which of the following names a ray in the drawing
Answers
Answer:
CB And A F
Step-by-step explanation:
Answer:
The answer is CB.
Step-by-step explanation:
A ray is a line that starts from a point and travels in a particular direction to infinity.
Here, CB is the ray as it is originating from a point C and travelling up to infinity in a single direction beyond B.
The ray is represented by a arrow in one direction.
Mary is going for a walk. She walks 12.5 miles in 5 hours. What is her speed
Answers
To find her speed, divide the total distance by the total time:
12.5 miles / 5 hours = 2.5 miles per hour.
What is the measure of an arc intercepted by an inscribed angle whose measure is 88 degrees
44
88
176
None of the above
Answers
Answer:
[tex]176\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
In this problem
Let
x-----> the measure of an arc intercepted by an inscribed angle
[tex]88\°=\frac{1}{2}(x)[/tex]
[tex]x=2(88\°)=176\°[/tex]
Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.
The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).
Four less than the product of 5 and a number is equal to 9 . Use the variable (w) for the unknown number
Answers
Answer:
w = 13/5
Step-by-step explanation:
The equation is : 5w-4=9
Then we add 4 to each side
5w = 13
Then we divide by 5
w = 13/5
please help
Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?
Answers
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Answer:
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Step-by-step explanation:
Erica is cutting out snickerdoodle cookies with a circular cutter. The cutter has a diameter of 4 centimeters. What is the cutter's radius?
Answers
The radius is one half of the diameter.
Divide the diameter by 2 for the radius.
Radius = 4 centimeters / 2 = 2 centimeters.
Answer:
2 centimeters
Step-by-step explanation:
Circle
r=2cm
Using the formula
d=2r
Solving for r=d
2=2cm
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six-pack Of juice cans?
Answers
It was a cylinder shape
volume of cylinder is
[tex] = \pi {r}^{2} h[/tex]
Radius of the can
=6.6÷2
=3.3
Volume of 6 can
[tex]6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)[/tex]
Answer
2484.11