Answers
Answer:
C
Step-by-step explanation:
The area of a square is the square of the side length. When the side length x=2.5 cm, the area is the square of that value.
__
A(x) = x²
A(2.5 cm) = (2.5 cm)² = 6.25 cm²
_____
Additional comment
The "square" of a variable is that variable to the second power. The terms 2x or 4x are linear terms with the variable to the first power, do not represent the area of a square.
The equation A(x) = 4x² introduces a multiplier of 4 that is not applicable to the area of a square based on side length. (The formula might be useful if x represents the distance from one side to the center of the square, the radius of an inscribed circle, for example.)
Related Questions
An experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equally likely outcomes. What is the probability of rolling two 4's? Express your answer as a fraction in simplest form.
Answers
Answer:
1/36
Step-by-step explanation:
1/6 for the inital four, one in sixth chance to continue the roll on another 6.
the likely hood of making both these (on the first try) is 1/6*1/6 = 1/36.
Last one!! I need the steps please! Will mark brainliest!
Answers
Answer:
[tex]h(t)=-6(t-2)^2+24[/tex]
Step-by-step explanation:
Given function:
[tex]h(t)=-6t^2+24t[/tex]
where:
h = height (in feet)t = times (in seconds)Rewrite in the form [tex]h(t)=a(t-h)^2+k[/tex]
The quickest way to do this is to expand [tex]h(t)=a(t-h)^2+k[/tex] and compare coefficients with the original function.
[tex]\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}[/tex]
Comparing coefficients with [tex]h(t)=-6t^2+24t[/tex]
[tex]\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}[/tex]
[tex]\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}[/tex]
[tex]\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}[/tex]
Therefore, substituting the found values into the equation:
[tex]h(t)=-6(t-2)^2+24[/tex]
the measure of an angle is 28 degrees less than its supplement. find each angle
Answers
Supplementary angles measure 180°. Make an equation:
Subtract 28 to leave the variable in the parentheses alone:
Add the 2 x's together:
Your new equation is:
Divide both sides by 2 to leave the variable alone
The supplement measures 76°
Un grupo de niños juega en una plaza con una pelota. Uno de ellos lanza la pelota en forma vertical hacia arriba. La pelota describe en su trayectoria una parábola que responde a una función cuadrática, siendo el tiempo "t" la variable independiente.
1) Dibujen en un sistema de coordenadas cartesianas la posible trayectoria parabólica de la pelota (usen GeoGebra, pueden utilizar una aplicación del celular)
2) Escriban una posible expresión matemática que modelice la situación planteada. ¿Qué significado tienen, en este caso, las coordenadas del vértice? ¿Qué significan las probables intersecciones con el eje "x"? ¿Y con el eje "y"?
Answers
Answer:
Step-by-step explanation:
gpih
Please helpppppppppppp
Answers
for A is-48
nd B is-16.5
nd C is-32.4
B
A 85⁰
D
What is the measure of angle B
What is the measure of Angle D
43° C
m/B=
m/D=
Answers
Answer:
B =116°
D = 116°
Step-by-step explanation:
one set of opposite angles of a kite equal
For all values of x, f(x)=2x^2 and g(x)= x+1
Solve fg(x) = gf(x)
Answers
Answer:
-0.25
Step-by-step explanation:
→ Find fg(x)
2 ( x + 1 )² = 2x² + 4x + 2
→ Find gf(x)
2x² + 1
→ Equate them
2x² + 1 = 2x² + 4x+ 2
→ Move everything to the right hand side
0 = 4x + 1
→ Solve
x = -0.25
Answer:
[tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Work out fg(x)
To work out fg(x), put the g function into the f function so, the x in f(x) is equal to the x+1 (from the g function) so:
[tex]2(x+1)^{2} = 2 (x^{2} +2x+1) = 2x^{2} + 4x +2[/tex]
So fg(x) = [tex]2x^{2} + 4x +2[/tex]
Work out gf(x)
Do this by substituting the f(x) equation into the g(x) which is:
[tex](2x^{2} )+1[/tex]
So gf(x) = [tex](2x^{2} )+1[/tex]
Work out x
And since fg(x) = gf(x),
[tex]2x^{2} + 4x +2[/tex] = [tex](2x^{2} )+1[/tex]
4x = -1
x =[tex]-\frac{1}{4}[/tex]
Which of the following numbers is a factor of 494949? Choose 1 answer: Choose 1 answer: (Choice A) A 222 (Choice B) B 444 (Choice C) C 999 (Choice D) D 77
Answers
Answer:
I thin 777 but you write it 77
Step-by-step explanation:
D
If f (x) = 3x² - x, find f (-2).
O 10
O 14
O 38
Answers
Answer:
The value of f(-2) is equal to 14.
Step-by-step explanation:
Let's define what we are given:
f(x) = 3x² - xf(-2)Recall from function notation that f(-2) is equal to x = -2 for f(x). That means we can substitute in x = -2 into f(x):
f(-2) = 3(-2)² - (-2)From here, we can evaluate the function expression using BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction):
f(-2) = 3(-2)² - (-2)f(-2) = 3(4) - (-2)f(-2) = 3(4) + 2f(-2) = 12 + 2f(-2) = 14∴ f(-2) = 14.
Hope this helps!
F(x)=3x^2 -x
F(-2)= 3(-2)^2 -(-2)
= 3(4) +2
= 12 + 2
= 14
Answer this simple equation below:
Answers
Answer:
[tex]x=\dfrac{cd}{a-b-d}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{ax-bx}{x+c} & =d\\ \implies ax-bx & =d(x+c)\\ \implies ax-bx & =dx+cd\\ \implies ax-bx-dx& = cd\\ \implies x(a-b-d) & = cd\\ \implies x & = \dfrac{cd}{a-b-d}\end{aligned}[/tex]
Help me solve this please
Answers
Answer: 282.50
Step-by-step explanation: He has 305 dollars, that is below 500 so you multiply the fee he has to pay by 3. U get 22.5, after than u subtract 22.5 from 305.
Four students each hike on different trails. Dave (D) hikes 3 miles more than Sue (S). Jerry (J) hikes 2 miles more than Ezra (E). Ezra hikes farther than Sue. Identify the inequality that correctly represents the distance the students hike
Answers
Classify the pair of angles. Then find the value of x
For all 4 questions pls
Answers
Answer:
4. x = 42°
5. x = 18°
6. x = 74°
7. Unknown.
Step-by-step explanation:
4. (x-5) = 38° ⇒ x = 38 + 5 ⇒ x = 43°
5. 2x + 3x = 90° ⇒ 5x = 90° ⇒ x = 18°
6. 2x + 32° = 180° ⇒ 2x = 180°- 32 ⇒ 2x = 148° ⇒ x = 74°
7. Not sure since the picture missing that angle off page.
Solve the following system of equations
by Substitution.
5x + 4y = 7
-2x - 2y = 8
Answers
Answer:
y = 9/13
Step-by-step explanation:
x = -4 + y
5(-4 + y) + 4y = 7
-20 + 9y = 7
9y = -13
Answer:
5x + 4y = 7 × -2
-2x - 2y = 8 × 5
-10x - 8y = -14
-10x - 10y = 40
Step-by-step explanation:
2y = -54 ÷2
y = -27
Now substitute the value of y into equation (1)
5x + 4y = 7
5x + 4(-27) = 7
5x = 7 + 108
5x = 115
X = 23
What is the mean of 3,0,5,0,7,4,3,10 ?
Answers
Answer:
4
Step-by-step explanation:
3+0+5+0+7+4+3+10 = 32
Mean = sum of numbers / how many numbers
mean = 32/8
mean = 4
30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answers
Answer: 16
Step-by-step explanation:
For the following quadratic equation, find the discriminant.
8x2 + 14x + 40 = 7x2
Answers
Answer:
36
Step-by-step explanation:
8x^2 - 7x^2 +14x +40 = 0
x^2 + 14x + 40 = 0
a = 1, b = 14, c = 40
14^2 - 4*1*40
36
Answer:
36
Step-by-step explanation:
you're welcome hope this helps
The graph below shows the height of a tunnel f(x), in feet, depending on the distance from one side of the tunnel x, in feet:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 36, 0. The vertex is at 18, 32.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)
Part B: What is an approximate average rate of change of the graph from x = 5 to x = 15, and what does this rate represent?
Answers
Answer:
I've been looking for the same answer lmk I got it
12.38 + 3 + 4.6
?
=
✓ DONE
What is e answer?
Answers
Answer:
e=6
Step-by-step explanation:
You need to take the transactions of the lament, then vibrant connections.
Find an ordered pair with (x,y) that is a solution to the equation 3x+y=8
Answers
Answer: (2,2)
Step-by-step explanation:
3x+y=8
X=2, y=2
3(2)+2=8
6+2=8
HELP!!!
50 Points!!!!!
Answers
Answer:
i think the first and last one.
Step-by-step explanation:
the area of the triangle below is 12.87 square inches what is the length of the base ??
Answers
Answer:
6.6 in (Brainliest please)
Step-by-step explanation:
A= 1/2 b*h
12.87= 1/2 b(3.9)
12.87= 1.95b
12.87/1.95= 1.95b/1.95
6.6=b
The average temperature over a 10-day period in Phoenix was 98 degrees. For the first six days, it was sunny, and the average temperature was 100 degrees. Over the next 4 days, it was cloudy and the temperature dropped. What was the average temperature for those 4 days? Show work.
Answers
Answer:
96
Step-by-step explanation:
The average for the first 6 days was 100, and it ended up dropping overall by 2 for the average.
6 days=x/6=100
4 days=x/4=98/100
You can do 96+100/2 which is 98 degrees.
please help me with this
Answers
Answer:
Length: 12.39313902 cm
Width: 10.89313102 cm
Step-by-step explanation:
Check the attachment.
f(x) = 3x + 13; g(x) = 3x - 1
Find f(g(x)).
- help :(
Answers
Answer:
f[g(x)] = 9x + 10
Step-by-step explanation:
f[g(x)] means to replace the x of function f(x) with function g(x)
Given:
f(x) = 3x + 13g(x) = 3x - 1Therefore:
f[g(x)] = 3[g(x)] + 13
= 3(3x - 1) + 13
= 9x - 3 + 13
= 9x + 10
A rectangular prism with length l, width w, and height h has a volume of lwh.
What is the volume of a prism which has a base of 5 m by 3 m, and a height of 4 m?
Answers
Step-by-step explanation: 5x3x4 15x4 The volume is 60m^3.
Kara scores 3 points when she completes the first level of a video game. At each level after that she scores 3 times the amount awarded at the previous level. If she completes 4, how many points does she score in all?
Answers
Answer:
120
Step-by-step explanation:
If Kara earns 3 times as many points completing the next level than she earned the previous level, to find how many points she earned at level 3, triple the amount of points earned in level 2, which is 9.
9 × 3 = 27
We can confirm this is the correct value by multiplt 27 by 3 to see if it equals 81, which it ineed does.
To find how many points she scored in all, find the sum by adding all of the points together.
3 + 9 + 27 + 81 = 120
She scores 120 points in all.
hope this helps!
The mean of five numbers 3,7,9,12 and x is 8. find the value of x
Answers
Answer: 23
Step-by-step explanation: 3+7+9+12+X /5 =8
31 + X = 8
X = 23
help me please it will bring my grade up
Answers
Answer:
40
Step-by-step explanation:
Area = Base * height
A = 8 * 5
A = 40
Answer:
40
Step-by-step explanation:
A=b×perpendicular height
=8×5
=40
Which pair of triangles can be proven congruent by SAS?
Answers
Answer:
Second option
Step-by-step explanation:
They have two congruent pairs of sides and one congruent pair of angles.
The triangles B can be proven congruent by the SAS theorem
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
From the Option B) , we get
Let the first triangle be ΔABC
Let the second triangle be ΔBDE
Now , the measure of side AB = measure of side BD
And , the measure of side AC = measure of side BE
And , the measure of ∠ABC = measure of ∠DBE
Therefore , Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
Hence , the triangles are congruent by SAS theorem
To learn more about congruent triangles click :
https://brainly.com/question/26131452
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