The solution to the equation x² + 5x = 0 is x = 0 or x = -5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
x² + 5x = 0 be equation (1)
Now , on simplifying the equation , we get
On factorizing the equation , we get
Taking the common factor x ,
x ( x + 5 ) = 0
Now , x can take 2 values which will satisfy the given equation
when x = 0 or ( x + 5 ) = 0
when x = 0
Substitute the value of x in the equation , we get
0 ( 0 + 5 ) = 0
0 = 0
The equation is true when x = 0
And ,
when ( x + 5 ) = 0
Subtracting 5 on both sides of the equation , we get
x = -5
when x = -5
-5 ( -5 + 5 ) = 0
-5 x 0 = 0
0 = 0
The equation is true when x = -5
Hence , the solution is 0 , -5
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A veterinary office pays PupFood $22.50 for each bag of dog food. If the office spent $585, how many bags of food did they purchase?
If you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.
Answer:
If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.
Answer:
A rectangle
Step-by-step explanation:
A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid. In this case, a rectangle.
first person to get it right gets brainliest
The population of a town was 25,000 in the 2000 census and 30,000 in the 2010 census. By what percent did the population increase?
Answer: This means that the population increased a 20% between the year 2000 and the year 2010.
Step-by-step explanation:
In this case, we have that 25,000 is the 100%.
Now we want to know which percentage represents 30,000
Let's suppose that the percentage is X.
Then we can have a system of equations:
30,000 = X
25,000 = 100%
To find the value of X, we can take the quotient of these two equations:
30,000/25,000 = X/100%
(30,00/25,000)*100% = X = 120%
Then in the 2000 we had a 100%, and in the 2010 there was a 120%.
The difference is:
120% - 100% = 20%
This means that the population increased a 20% between the year 2000 and the year 2010.
please help!! Which side lengths form a right triangle?
A 1, 2, 3
B 3, 4, 5
C 5, 6, 7
9514 1404 393
Answer:
B. 3, 4, 5
Step-by-step explanation:
The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.
__
Side length 1, 2, 3 do not form a triangle.
Side lengths 5, 6, 7 form an acute triangle.
Side lengths 3, 4, 5 form a right triangle.
Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?
Answer:2 feet i think?
Step-by-step explanation:
sorry need points
HELP ME!! I WILL MARK BRAINLIEST!!
Ez brainliest
Answer:
4) A) cuttings
5) B) pollinated
9) C) heredity
Step-by-step explanation:
Answer:
1) A.
2) B.
3) C.
I hope this helps.
Please mark me the Brainliest!
Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
many notebooks did Bernard give Tom?
Answer:
He gave 46 to Tom
Step-by-step explanation:
He started is 51 notebooks- 15 + 17 + 19 = 51
He then gave some away until he only had 5 left 51 - 5 = 46
He gave 46 to Tom
pls I need your help in finding this math problem
9514 1404 393
Answer:
(a) 38.3 m horizontal distance
(b) 82.1 m high
Step-by-step explanation:
I like a graphical solution to this problem (attached).
__
If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.
tan(65°) = t/h
tan(40°) = (t -50)/h
__
Multiplying both equations by h and substituting for t, we have ...
h·tan(40°) = h·tan(65°) -50
h = 50/(tan(65°) -tan(40°)) . . . . solve for h
h ≈ 38.3022
Then the tower height is ...
t = h·tan(65°) ≈ 82.1394
The tower is about 38.3 m distant and 82.1 m high.
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
What is the radius of the sphere?
Answer:
32/3 cubic
Step-by-step explanation:
D.32/3
32/3=32:2= D.8 units
I will give you BRAINLIEST for the correct answer
Answer:
If I got this wrong pls dont get mad but I think the answer 150
It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *
Answer:
2 miles
Step-by-step explanation:
Given that :
Distance from home to store and back = 1/2 mile
In a week :
Number of times he walked from home to store and back = 1 time
Number of times she rode to store and back = 3 time
Note distance does not change whether she rode or walked:
Hence,
miles walked = 1/2 miles * 1 = 1/2 miles
Miles biked = 1/2 miles * 3 = 3/2 miles
Total Number of miles :
(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
A computer chip company finds the experimental probability of manufacturing a defective computer chip is 1/3 how many defective computer chips are likely to be in a batch of 735 computer chips
Answer:
There are 245 expected defective chips in the batch
Step-by-step explanation:
From the question, we have that in a batch of computer chips, it is expected that a third is defective
Now, in this present batch, there are 735 chips
The number of defective chips is a third of this
Thus, we have the number of defective chips as;
1/3 * 735 = 245 chips
In Exercises 21-26, a fair coin is tossed two times in succession.
The set of equally likely outcomes is {HH, HT, TH, TT). Find the
probability of getting
21. two heads.
22. two tails.
23. the same outcome on each toss.
24. different outcomes on each toss.
25. a head on the second toss.
26. at least one head.
Answer: I need more context
Step-by-step explanation:
Plz help Quadrilateral PQRS Is shown in the graph
Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?
Answer:
728 km / lit
Step-by-step explanation:
kilometers per liter = kilometers / liters
k/l = 484848 / 666
kilometers per liter = 728
Answer: The answer is 8 kilometers
Step-by-step explanation:
khanacademy
(2p^3 · 2p)^2
HELLO I NEED HELP
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
(2p^3 · 2p)^2 We are gonna be simplifying
(4p^4)^2
Step 2
(4p^4)(4p^4)
16p^8
So therefore your answer would be 16p^8
Hope this helps
define the term net income .. according to the given context
ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.
Mhanifa can you help this is due soon!!
Answer:
Question 1Given pentagon
Sum of interior angles:
S = (5 - 2)*180° = 540°Sum of exterior angles is same for any polygon:
360°Question 2Given hexagon
Sum of interior angles:
S = (6 - 2)*180° = 720°Sum of interior angles of a given hexagon:
x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°Please Help, The Question Is On The Picture. If Right I'll Mark Brainllest
Answer:
12/13
Step-by-step explanation:
Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2
x^2+25=169
x^2=144
x=12
sin(x)=12/13
Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
119.816
Step-by-step explanation:
Given the data :
123.6, 225.1, 324.8, 422.9, 524.2
Mean absolute deviation (MAD) :
Σ|x - m| / n
m = mean = ΣX / n
n = same size = 5
m = 1620.6 / 5 = 324.12|
[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5
= 119.816
How to factorise equations such as 6x+18y, I have to do questions 4-9
Answer:
4) 6(x+3y)
5) 3b(a+c)
6) 6a(x−2y)
7) 6a(a−2)
8) 7x(x−4)
9) 5x(3x+5y)
Step-by-step explanation:
6x+18y
you find what goes into that number
for example 6 goes into 18, 3 times
so you can keep the 6
next you put the x and plus stays the same
as we said before 6 goes into 18, 3 times so we put the 3 and y next
so this is the equation
6(x+3y)
6 times x = 6x
6 times 3 = 18
y and plus stay the same
brackets shows that your timesing the numbers
i hope this makes sence tried my best not to waffle :)
HELLPPPPPPPP PLS. What is the volume of the rectangular prism?
Type the answer in the boxes below.
NI
cm
Answer:
3.75 cm³
Step-by-step explanation:
Each cube has equal sides of 1/2 cm
Length of the rectangular prism = 1/2 cm * 5
= 2.5 cm
Width of the rectangular prism = 1/2 cm * 2
= 1 cm
Height of the rectangular prism = 1/2 cm × 3
= 1.5 cm
Volume of the rectangular prism = length × width × height
= 2.5 cm * 1 cm * 1.5 cm
= 3.75 cm³
Volume of the rectangular prism = 3.75 cm³
10) What is the value of x in the figure below?
Answer:
x=68
Step-by-step explanation:
let y equal the vertical angles
49+55+ y= 180
y=76
vertical angles are equal
35+76+x=180
x=68
HELP please lol ill love u forever if u do this for me bestie
Factor Completely: 8 x^3 −12 x^2 −2x+3
Answer:
Step-by-step explanation:
8x^3 - 12x^2 - 2x + 3
4x^2(2x - 3) - 1( 2x - 3)
(4x^2 - 1)(2x - 3)
(2x - 1)(2x + 1)(2x - 3)
Answer:
[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]
Step-by-step explanation:
[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]
hope this helps you
can I have the brainliest please?
A cube has a volume of 15 5/8. What's the surface area?
a 36 3/8
b 64 1/8
c 9 1/3
d 37 1/2
Answer:37 1/2
Step-by-step explanation:
You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2
answer these questions please ill give brainliest if your aanswer is right
The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.