Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.
What are Like terms?Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
To solve an equation the first step is to rearrange the equation such that like terms are together.
Hence, the first step to solving an equation is to rearrange the like terms.
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Given ΔABC. Choose which of the following sides create a right triangle:
21
I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9
Answer:
II. a = 6 , b = 9.1 , c = 10.9
Step-by-step explanation:
I. a = 1.2 , b = 3.5 , c= 3.6
c² = a² + b²
3.6² = 1.2² + 3.5²
12.96 = 1.44 + 12.25
12.96 ≠ 13.69
These sides cannot create a right triangle.
II. a = 6 , b = 9.1 ,c = 10.9
c² = a² + b²
10.9² = 6² + 9.1²
118.81 = 36 + 82.81
118.81 = 118.81
Therefore, these sides can create a right triangle.
III. a = 6 , b = 8 , c = 9
c² = a² + b²
9² = 6² + 8²
81 = 36 + 72
81 ≠ 108
These sides cannot create a right triangle.
help me please really help
Answer:
60
Step-by-step explanation:
10 x sqrt64 - 5 x 4
10 x 8 - 5 x 4
80 - 20
60
what is the positive solution of 3x^2-10-8=0?
Answer:
x=4
Step-by-step explanation:
I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].
You can simplify this to:
[tex](3x+2)(x-4)=0[/tex]
This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4
The only positive solution therefore is x=4
Answer:
The answer is 4
Step-by-step explanation:
Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)
D=d^2=b^2-4ac=100+96=196⇒d±14
There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3
The positive real root is : 12/3=4
A glacier is moving at a rate of 5 ft per year. At this rate, how long will it take the glacier to travel 1 mi? Hint: 1 mi = 5,280 ft
Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and
ac = 24 cm We know that the diagonals of a rhombus bisect each other at right angles
please help me
Answer:
384 cm²
Step-by-step explanation:
Property of rhombus :
Diagonals of rhombus bisect each other and are perpendicular to each otherGiven :
Rhombus ABCD and its diagonals AC and BD bisect each other at O AC ⊥ BDAB = BC = CD = DA = 20 cmAC = 24 cmSolving :
Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.
2 × 1/2 × OB × AC24 × OB24 × √AB² - AO²24 × √20² - (AC/2)²24 × √400 - 14424 × √25624 × 16384 cm²What is the area of the circle below if the area of the square is 36?
If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The area of the square will be given as 36 square units.
Then the side length of the square will be
36 = a²
a = 6 units
Then the diameter of the circle and side length of the square are equal. Then we have
a = d = 6 units
Then the radius of the circle will be
2r = d
2r = 6
r = 3 units
Then the area of the circle will be
Area of circle = πr²
Area of circle = 3.14 x 3²
Area of circle = 28.26 square units.
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Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25
∘
∘
. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
66.9 ft
Step-by-step explanation:
Kite string forms a right triangle with the horizontal 3.5 feet off of the ground
sin 25 = opp / hyp = height / 150
sin 25 = height / 150
150 sin25 = height but it is 3.5 feet off of the ground...add that in
3.5 + 150 sin25 = true height = ~ 66.9 ft
12. The weights of bags of corn produced at a factory are normally distributed with a mean
of 28 oz and a standard deviation of 2 oz. Consider a shipment of 800 bags of corn.
How many of the bags will weigh 26.5 oz or less?
Answer:
If they are 28 Oz and a deviation of 2 it will be 26 so 26 times 800 will be 4800. so technically 1 bag is 26oz so the answer is 1 bag.
The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?
A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2
Answer:
d. (4w2 + 180w) m2
Step-by-step explanation:
Area of tiled floor = (area of tiled floor+ pool ) - area of pool
area of pool =l x b = 30 x 60 =1800 ...............a
length of pool + tiled floor = 30+2w
breadth of pool + tiled floor = 60+2w
Hence, (area of tiled floor+ pool ) =
(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b
b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w
Which transformations could have occurred to map
ABC to A"B"C?
• a rotation and a reflection
O a translation and a dilation
• a reflection and a dilation
B"
• a dilation and a rotation
Write a slope-intercept equation for a line that passes through (-3,6.7) (0,6.7)
Answer:
y-6.7=0* (x+3)
Step-by-step explanation:
Stephanie is helping a midwife weigh new-born babies. The scales are in pounds but the sheet she has to complete is in kilogrammes. The baby weighs 8.06 lbs. When she converts this on a calculator the display reads 3.65595152. What is this in kilogrammes to 3 decimal places?
The weight of baby in kg is, 3.659 kg.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The baby weighs 8.06 lbs.
Now, We know that;
⇒ 1 pound = 0.454 kg
Hence, The weight of baby in kg is,
⇒ 8.06 pounds = 8.06 × 0.454 kg
= 3.659 kg
Thus, The weight of baby in kg is, 3.659 kg.
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I need help!!! Solve the equation 7= -10s -3
Answer:
s = -1
Step-by-step explanation:
7 = -10s -3 <== add 3 to both sides
+3 + 3
10 = -10s <== divide both sides by -10
/-10 /-10
-1 = s
Final answer: -1 = s or s = -1
Hope this helps!
Ron runs a hot question ( need answer)
Answer:
The price of a hot dog decreases between the third and sixth month:
True
The price of a hot dog increases between the sixth and ninth month:
False
The price of a hot dog increases constantly between the ninth and twelfth month:
True
Hope this helps! If anything is wrong, feel free to comment down below so I can change my answer for future users!
Work out 2/15 of 5 Give your answer as a fraction in its simplest form.
Answer:
2/3
Step-by-step explanation:
2/15 of 5
Of means multiply
2/15 * 5
Multiply the numerators
2*5 = 10
Put over the denominator
10/15
We can divide the top and bottom by 5
10/5 =2
15/5 =3
2/3
Answer:
Step-by-step explanation:
The length of each of the two congruent sides of an isosceles triangle
is 2n +7 and the length of the third side is 3n
Draw and label the isosceles triangle.
Answer:
To find the perimeter you add the length of all sides.
1). 2n + 7 + 2n + 7 + 3n = perimeter
2). 2(2n + 7) + 3n = perimeter
Step-by-step explanation:
Hope this helps!! :)
I need help with my homework
Answer:
y = 50x + 900
Step-by-step explanation:
I used the slope formula (y = mx + b). y represents the total money she earns each month
Baseballs are sold 8 to a box. The
league is planning on having 18
games. If they need 3 balls for
each game, how many boxes will
they have to buy?
Anyone know the answer to 4 1/6 + 3/4? The final result should be a mixed number.
Answer:
=59/12 or 4.92 or 4 11/12
Step-by-step explanation:
4 1/6 + 3/4
=25/6 + 3/4
=59/12 or 4.92 or 4 11/12
Hello, help me please with explanation)
Answer:
hope this will help you sorry if the answer is wrong
Write a slope-intercept equation for a line that passes through (-2,3) and (2,-5)
The slope of the given line is m
(Simplify your answer. Type an integer or a simplified fraction.)
Answer:
y - 3 = -2 * (x+2)
Step-by-step explanation:
Use the formula; SA= 2(L) + 2(w) + 2(h) to find the survface area for a rectangular prism.
Question: (length = 2.2) (width = 1.46) (Height = 6)
Please answer this because im not smart.
Answer:
The surface area is 19.32
Step-by-step explanation:
The solution in the image
Need help for this please
Step-by-step explanation:
what is the problem ?
we only need to use the formula that can be found easily on the internet.
the area of a circle is
pi×r²
r being the radius (half of the diameter). in our case :
14/2 = 7 m
and we shall use 22/7 as approximation for pi.
so, we get as circle area
22/7 × 7² = 22 × 7 = 154 m²
help will mark Brainliest!!
Answer:
-20.5
Step-by-step explanation:
Using a basic calculator, you divide 10.25 by -.5 which easily gives -20.5
which expression is greater than 4
Answer:
all numbers<4
so numbers 5 and up
Step-by-step explanation:
y=-x-3
y=4x-5
2x-y=-2
x+y=4
3x+4y=-12
Y'ALL I NEED SOME SERIOUS HELP, ANYBODY KNOW THE ANSWERS?
Answer: Heyaa! :)
1. y=-x-3 = -1Slope: −1
y-intercept: (0,−3)
2. y=4x-5 = 4Slope: 4
y-intercept: (0,−5)
3. 2x-y=-2 = 2Slope: 2
y-intercept: (0,2)
4. x+y=4 = 1Slope: −1
y-intercept: (0,4)
5. 3x+4y=-12 = - 3/4Slope: −3/4
y-intercept:
(0,−3)
Hopefully this helps you!
- Matthew
The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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Answer:
1,2, and 5
Step-by-step explanation:
Help pls 85 points??
find the value of 7x+2y when x=2 and y=-9
Answer:
32
Step-by-step explanation:
7×18+2×18=32
x=14
y=18
Have a great day!
Please help. Don’t understand
If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]
We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]
Now from the options, the only value which satisfies this angle is tan∅=-√3.
[tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]
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