The perimeter of rectangle living room is 40 m the living room is 10 m wide what is the length of the living room
Answer:
Width of the room = 5 meters
Step-by-step explanation:
the rectangular living room is calculated as length * width
The area is given to be equal to 40 sq. meters (area = 40 sq. meters)
Let the width = x meters
Length = X+3 meters
Area = Length * Width
40 = X * (X+3)
40 = X^2 + 3X
We solve this quadratic equation
So x = 5 or x= -8
Width cannot be negative, so we reject x =-8
So x = 5 is the answer
Answer:
10
Step-by-step explanation:
i got it right
The graph of a function f(x) passes through the following points:
(0,2), (1,0),(-1,0)
Which of the following could be f(x)?
O f(x) = - 2x2 + 2
O f(x) = 2x + 2
O f(x) = -27x + 2
O f(x) = - 2x + 2
Answer:
All of the them excluding f(x)=-27x+2
The required function is [tex]f(x)=-2x^2+2[/tex]. Hence, option a is correct.
Important information:
The graph of a function passes through the points (0,2), (1,0) and (-1,0).Quadratic function:The graph has two x-intercepts (1,0) and (-1,0). It means it is a quadratic function and [tex](x-1)[/tex] and [tex](x+1)[/tex] are two factors.
[tex]f(x)=a(x-1)(x+1)[/tex]
[tex]f(x)=a(x^2-1)[/tex] ...(i)
The graph passes through the point (0,2). Substitute [tex]x=0,f(x)=2[/tex] in the above function.
[tex]2=a(0^2-1)[/tex]
[tex]2=-a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (i).
[tex]f(x)=-2(x^2-1)[/tex]
[tex]f(x)=-2x^2+2[/tex]
Therefore, the correct option is a.
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HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!
What is the volume of a cone with a radius of 5 inches and a helght of 12 inches ? (Use 3.14 for pi)
Answer:
Same Class lol
Step-by-step explanation:
too dice are tossed simultaneously, what is the
probability that
the sum of their squares is more than 7
Answer: 5/13
Step-by-step explanation:
36 possible outcomes
the highest the sum can be is 12
so 8, 9, 10, 11, and 12 are all options
2+6, 4+4, 3+5, 5+3, 6+2 - for 8
3+6, 4+5, 5+4, 6+3 - for 9
4+6, 5+5, 6+4 - for 10
5+6, 6+5 - for 11
6+6 - for 12
total - 15/36 or 5/13
Write each as a decimal. State whether the decimal is repeating or terminating (1-7)
Write each decimal as a fraction (8-14)
No. 4 and 7 are mixed fractions
Answer:
0.625
0.035
etc.
Step-by-step explanation:
You just have to type the fraction in the calculator
Which of the expressions below are equal to x2+2x−15? Select all that apply. A) x2+x−8+x−7 B) (x−3)(x+5) C) x(x+2+15) D) x2+x+x2+x−15
Answer:
A and B
Step-by-step explanation:
x2 + 2x − 15
A) x2 + x − 8 + x − 7
B) (x − 3)(x + 5)
find the value c that will make 9x^2 +30x+c a perfect square trinomial
Answer:
[tex] c = 25[/tex]
Step-by-step explanation:
Given :-
A quadratic equation is given to us.The equation is 9x² + 30x + c .And we need to find out the value of c for which the given trinomial is a perfect square. On looking at the given expression all the terms are having positive signs before them .So we can rewrite it on the basis of ,
Identity :-
[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]
Let's try to set the equation on this Identity .
The firsr term is 9x² . We can write it as ,
[tex]\implies 9x^2=(3x)^2[/tex]
Hence the middle term here should contain 3 and 2 as their factors. Let's Break the middle term .
[tex]\implies 30x = 2.3x.5 [/tex]
Therefore in order to make the whole expression as perfect square 5² must be replaced by c . The expression would become ,
[tex]\implies 9x^2+30x + 5^2 \\\\\implies (3x)^2+2.3x.5 +5^2\\\\\implies (3x+5)^2[/tex]
Hence the value of c should be 25 .
For brainliest and 50 points!!!
The statements in if-then form are given as follows:
If it is right-angled, then it is 90 degreesIf x=6, then x² = 36If two angles measure 180°, then they are supplementary If your body temperature is 103°, then you have a fever If is 6pm, then it is time for dinnerIf there is gas in the tank, then the car runs If there there are 12 eggs if the carton, then it is fullIf a car is leaking antifreeze, then it has a problemIf a dog is old, then you can't teach it new tricksIf a deer has white fur and pink eyes, then it is albino What is the value of an IF-Then Construct?If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.
If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.
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Help me please?!?!!? I’ll give brainly!
Answer:
its the third one (6-2) x 5
Step-by-step explanation:
(6-2) × 5
Step-by-step explanation:
It's for 5 TIMES the DIFFERENCE of 6 and 2. I hope this helps, have a good day!
A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?
Answer:1.5 inches
Step-by-step explanation:
A giant satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 300 feet and. depth of 44 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest foot.
The answer of given parabola question is 6.125ft.
The definition of a parabola?a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.
x² = 4py
x=radius which can be found by dividing d=14ft by half
x = d/2 = 11/2 = 7ft
y=2ft is the depth
p is the vertex of the parabola
finding p;p = x²/4y
p = 7²/4×2
p=6.125ft
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Please answer these question(s)! It has to do with math statistics. I will give you brainliest and thanks!
Answer:
2
Step-by-step explanation:
Count how many edges use that vertex as an endpoint. In this case B and E.
HELPPPPPP
Based on the graph below, what are the solutions to the equation f(x) = g(x)? (5 points)
graph of function f of x equals 3 times x minus 1. Graph of function g of x equals x cubed minus 3 times x squared minus 4 times x plus 12
x = −2.4, 1.4, 3.9
x = −2.4, 0.25, 1.4
x = −2, 2, 3
x = −2, 1, 3
Answer:
x = −2.4, 1.4, 3.9
Step-by-step explanation:
i literally just took the test so ik for sure its right:)
Homework help!
y=2x + 10
whats the initial amount?
whats the growth/decay factor or slope?
Answer:
10
2
Step-by-step explanation:
if x=0 => y = 2(0)+10= 10
y = mx + c
m = slope factor
=> y = 2x + 10
so, slope factor = 2
Which of the following statements is TRUE based on the information given?
If you can’t see, my apologies, but you can zoom in so you can see the answer choices!
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
B
Step-by-step explanation:
The sum of the angle 1, 2 and 3 is 180 degrees , so B is the correct answer, because 70 + 110 = 180
Answer:
b
Step-by-step explanation:
hello i neeed help with my math question 5
Answer:
Add a file to it.
Step-by-step explanation:
We can't see anything.
LINKS WILL GET REPORTED PLS HELP CLICK TO SEE
Answer:
14
Step-by-step explanation: add all the x's and you get 14 that show's how many apples her clients ate last week
Find the measure of arc DC ?
whats -8 + 1????????
Answer:
-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
A measurement of 50.8 centimeters is equivalent to how many inches? A. 25 B. 12 C.20 D. 10
Answer: C. 20
Step-by-step explanation:
1 inch is equal to 2.54 cm.
So we have to divide the amount of centimeters given by how many centimeters are in an inch to find how many inches.
50.8 ÷ 2.54 = 20
Hope this helps!!! :)
Before a renovation, a movie theater had 112 seats. After the renovation, the theater has 168 seats. What is the approximate
percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent
OA. 33.3%
ОВ.
50%
OC. 56%
OD. 20%
jane used $68 more than two fifths of her last paycheck to purchase a new surfboard. If the surfboard cost $289, find the amount of her paycheck.
Answer: Let x be the amount of Jane's paycheck.
We know that:
surfboard cost = $289
and jane used $68 more than two fifths of her last paycheck to purchase a new surfboard.
So we can set an equation as:
surfboard cost = 2/5 x + $68
289 = 2/5 x + 68
Now we can substitute the known value in the above equation:
289 = 2/5 x + 68
221 = 2/5 x
x = (2215) / 2 = 115 = 55
So the amount of her paycheck is $55.
Therefore, jane's last paycheck was $55.
Step-by-step explanation:
each minute your heart pumps 1.5 gallons of blood around your body. How many pints of blood will your heart pump in a day? PLEASE HELP ME
Answer:
So there are 60 minutes in an hour, and since there are 24 hours in a day you will multiply 60 by 24:
60 * 24 = 1440.
That multiplied by 1.5 is 2160, so that would be your answer.
Step-by-step explanation:
Hope it helps! =D
Ben has 1/2 cup of sugar he uses of the 1/5 sugar. What fraction of the sugar did Ben uses to make lemonade?
Answer:
3/10
Step-by-step explanation:
i
Answer:
3/10
Step-by-step explanation:
Multiply 1/2 by 5 to reach 5/10 and 1/5 by 2 to reach 2/10. Then subtract 2/10 from 5/10 to achieve the answer 3/10.
In Exercises 7-8, find the domain of the function.
7. f(x) = x-5/x + 2
8. h(x) = 4x²
On solving the provided question, we can say that - the value of the function is = x-5/x + 2 => x= 2 => -3/4
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
x-5/x + 2
x= 2
-3/4
ans also 4x² = 4 *2*2 = 16
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what is the value of y when
-5= y-7 over 9
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Directions: Find the area of each shaded region. Assume that all angles that appear to
be right angles are right angles.
Answer:
#1
10*3.7/2 = 18.5 m² (both the triangle and rectangle have same base and height)#2
3.14*6² - 2² = 109.04 m²#3
4.1*8.2/2 = 16.81 cm² (the square is half the rectangle)#4
18² - 3.14*9² = 69.66 dm²#5
It's not clear what is shaded. Giving all options
1. Rectangle in the middle:
4*3.4 = 13.6 m²2. Two semicircles:
3.14*2² = 12.56 m²3. Total area:
13.6 + 12.56 = 26.16 m²Convert the degree measure to radians or the radian measure to degrees. Then find one positive angle and one negative angle that is coterminal with the given angle.
1. -560°
2. 170°
-560° in radian is -28π/9 radian and the positive and negative coterminals are 8π/9 and -10π/9 respectively.
170° in radian is 17π/18 radian and the positive and negative coterminals are 53π/18 and -19π/18 respectively
How to convert the degree measure of angle to radians?An angle can be converted from degree to radian by multiplying it by π/180.
1. -560°
-560° × π/180 = -28π/9 radian
2. 170°
170° × π/180 = 17π/18 radian
In general, if θ is any angle in radian, then θ + n(2π) is coterminal angle with θ, for all nonzero integer n.
coterminal of -28π/9:
positive: -28π/9 = -28π/9 + 2(2π) = 8π/9
negative: -28π/9 = -28π/9 + 2π = -10π/9
coterminal of 17π/18:
positive: 17π/18 = 17π/18 + 2π = 53π/18
negative: 17π/18 = 17π/18 - 2π = -19π/18
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-2a2-4a+16 cuando a=-2
Answer:
0
Step-by-step explanation:
-2 * -2 = 4
4 * 2 = 8
4 * -2 = -8 + 16 = 8
8-8 = 0