A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)
9514 1404 393
Answer:
y = -0.03x² +12
Step-by-step explanation:
For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...
y = 1 - x²
It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.
We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:
y = 1 -(x/20)²
We want the height to be 12, so we can scale it vertically by a factor of 12:
y = 12(1 -(x/20)²
y = 12 -12(x²/400)
y = -0.03x² +12
please view math question and help!!
help please and thank you
!!
Answer:
f(x) = 2ˣ + 1
Step-by-step explanation:
Based on the exponential increase, you know that it will be an exponential equation, meaning that you can cancel out the first two options.
The easiest way to do pick the between the two remaining equations is by plugging in an x-value and seeing if the y-value for that equation matches the y-value from the equation.
For (3, 9):
f(x) = 3ˣ = 3³ = 27
f(x) = 2ˣ + 1 = 2³ + 1 = 8 + 1 = 9
The last equation is the equation that is represented by the table.
If l m, identify the angle pair as congruent or supplementary. Justify your reasoning by classifying the angle pair
Answer:
Not them Still deleting answers
Step-by-step explanation:
PLEASE HELP!!!
Find the areas of the trapezoids.
Answer:
1) A = 48 sq units 2) 42 sq units
Step-by-step explanation:
The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.
So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.
For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.
This is how you find the areas of the trapezoids!
The cone and cylinder below have equal surface area
Answer:
Option B, False
Step-by-step explanation:
Step 1: Get the surface area formulas for both shapes
Surface Area Formula for Cone: [tex]A = \pi * r(r + \sqrt{h^{2} + r^{2}})[/tex]
Surface Area Formula for Cylinder: [tex]A = 2\pi rh+2\pi r^{2}[/tex]
Step 2: Plug in the values and solve
Cone: [tex]A = \pi * r(r + \sqrt{(3r)^{2} + r^{2}})[/tex]
Cone: [tex]A = \pi r^{2} + \pi \sqrt{10}r^{2}[/tex]
Cylinder: [tex]A = 2\pi r*r+2\pi r^{2}[/tex]
Cylinder: [tex]A=4 \pi r^{2}[/tex]
Step 3: Compare
[tex]\pi r^{2} + \pi \sqrt{10}r^{2}\neq 4 \pi r^{2}[/tex]
They are not equal, therefore the answer is False.
Answer: Option B, False
Answer:
ok so i just took this on a p 3 x and its true i have a screenshot . i got the question wrong it's definitely true .
Step-by-step explanation:
chords with inscribed angles
Answer:
A:
i) ∠ABC is an inscribed angle
ii) ∠ATC is a central angle
B: ∠ABC = 150/2 = 75°
C: ∠ATC = 150°
GEOMETRY. Need help i will give brainliest
Answer:
x = 10
Step-by-step explanation:
If two tangent segments are drawn to a circle from an external point, then those segments are congruent.
x+11 = 2x+ 1
x = 10
Answer:
x=10
Step-by-step explanation:
x+11=2x+1
x+10=2x
10=2x-x
x=10
Brillianst!!!!!
one hundred and sixty-two thousandths as a decimal
Answer:
0.0162
Step-by-step explanation:
Cause it is
Answer:
0.162
Step-by-step explanation:
one hundred and sixty-two thousandths
162/1000 = 0.162
A student runs 7 km in 2 hours to train for sports. What is the student’s average speed?
Answer:
Step-by-step explanation:
For every hour said student would've ran 3.5 km/hr
7/2=3.5 kilometers per hour or 3 1/2 kilometers per hourWhat is the reflected across y-axis and reflected across x-axis for (-2, 6)
What is the value of x in the figure shown below?
2.8
2.8
A
96°
53°
2.8
5.4
5.4
D
B
Answer:
Step-by-step explanation:
∠EAD = ∠CAB = 53°
By Side-angle-side, △EAD is congruent to △CAB
∠E = 96°
∠D = 180-96-53 = 31°
x = 31°
-2/7 ÷ (-8/21) step by step answer
please this homework is due today its benchmark practice and i have to sleep like in 10 or 7 min like no joke
Answer:
1.3
Step-by-step explanation:
first, divide the parentheses:-8/21= -0.380952
second, dived -2/7= -0.285714
now divide both of them -0.380952 ÷ -0.285714 = 1.3
mhanifa or someone else can you PLZ answer this
Answer:
[tex] \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Step-by-step explanation:
[tex] \frac{7n}{n + 1} + \frac{8}{n - 7} \\ \\ = \frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 1)} \\ \\ = \frac{7 {n}^{2} - 49n + 8n + 8 }{ {n}^{2} - 1 } \\ \\ = \frac{7 {n}^{2} - 41n + 8 }{ {n}^{2} - 1 } [/tex]
Answer:
Simplified:
[tex]\frac{7n}{n + 1} + \frac{8}{n - 7}[/tex] =[tex]\frac{7n(n - 7) + 8(n + 1)}{(n + 1)(n - 7)}[/tex] =[tex]\frac{7n^2 - 49n + 8n + 8}{n^2 + n - 7n - 7}[/tex] =[tex]\frac{7n^2 - 41n + 8}{n^2 - 6n - 7}[/tex]This can be further simplified if required
[tex]\frac{7n^2 - 42n -49 + n + 57}{n^2 - 6n - 7}[/tex] =[tex]7 + \frac{n + 57}{n^2 - 6n - 7}[/tex]Please answer this ASAP!!!
Answer:
a) (tri)ABC ~ (tri)CDE
b) AA
Step-by-step explanation:
a) Given in the question (the triangles are similar)
b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.
Please help! I don't understand. view photo.
Answer:
Step-by-step explanation:
they are asking about the exponential
b/c it has a 3 in the exponent, it's a cubic and because it has two terms you can call it a binomial
David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on Saturday, how much money will he earn?
Answer:
$51.75
Step-by-step explanation:
Answer:
$22
Step-by-step explanation:
4 * 5.50 = 22
Which expression below is equivalent to 9 - 3(2 - 5x)?
A 3-15x
B 12-30x
C 3+ 15x
D 3+5x
Answer:
Step-by-step explanation:
9-3(2-5x)
9-6+15x
3+15x
Answer:
C
Step-by-step explanation:
9-3(2-5x)
9-6+15x=
3+15x
Which graph represents the solution set of this inequality? 11q +5 ≤ 49
Answer:
We need to isolate q on one side. 11q+5 <_ 49 Start subtracting 5 from both sides. 11q+5-5 <_ 49 -5 11q < 44 The answer will be B. q < 4.
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
khan
so ive been ground for 3 months for a low grade in math what should I do to get un grounded
Answer:
score a high grade in another subject
Step-by-step explanation:
Answer:
AAA
Step-by-step explanation:
start filling out math and putting unnecary notes
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.
Answer:
29.3feet
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=19°, and WU = 85 feet. Find the length of VW to the nearest tenth of a foot.
From the triangle given
<W = 90 degrees
<U = 19 degrees
<V = 180 - (90+19)
<V = 180 - 109
<V = 71 degrees
Using SOH CAH TOA
tan theta = opp/adj
tan <V = WU/VW
tan 71 = 85/VW
VW = 85/tan 71
VW = 85/2.9042
VW = 29.27
Hence the length of VW to the tenth of a foot is 29.3feet
29.3 is in fact the correct answer
A repairman leans the top of an 26 foot ladder against the
top of a stone wall. The base of the ladder is 4.7 feet from
the wall. How tall is the wall? (Use Pythagorean Theorem:
a² + b2= c2)
Answer:
653.91 squared or 326.955 not squared
Step-by-step explanation:
We have a hyponuse of 26 and one leg of 4.7 and we are trying to figure out the missing leg!
The first step is
A^2 + B^2 = C^2
2 step
4.7^2 + B^2 = 26^2
3 step
4.7 x 4.7 = 22.09 and 26 x 26 = 676
4 step
22.09 + B^2 = 676
5 step
676 - 22.09 = 653.91
6 step
Answer
653.91 squared or 326.955 not squared!
hope this helps
Determine the measure of angle A
Step-by-step explanation:
3x+18=4x+2
x= 16
measure of <A = 66°
What is the vertex of the parabola y=(x+3)+9?
(3,9)
O (-3,-9)
O (3,9)
Which equation can be used to solve for b?
Answer:
tan(30)=5/b
Step-by-step explanation:
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
How much did movies A and D combined make that week?
HELP THIS BS IS DUE IN 20 MINS!!!!!!!
Answer: 5.5
Step-by-step explanation:
If each sandwich is $5.5 then the slope must be y=5.5x
What is the area of this parallelogram?
4.9 cm²
12.25 cm²
17.15 cm²
24.01 cm²
PLS HELP!! I WILL GIVE BRAINLYIST
Answer:
The answer is 17.15! Brainliest pls :D
Answer:
C, 17.15
Step-by-step explanation:
4.9*3.5 = 17.15
A lacrosse player throws a ball into the air from a height of 8 feet with an initial vertical
velocity of 32 feet per second. What is the maximum height of the ball? When will the ball hit the ground?
Answer:
256Step-by-step explanation:
Read the answer carefully and then you'll know hey i need to multiply 8 times 32.
And what do you get...... 256Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.The ball hits the ground after 3.39 seconds.Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity.[tex]h_0[/tex] is the initial height.In this problem:
Height of 8 feet, thus [tex]h_0 = 8[/tex].Initial velocity of 32 feet per second, [tex]v_0 = 32[/tex]The equation is:
[tex]h(t) = -4.9t^2 + 32t + 8[/tex]
Which is a quadratic equation with [tex]a = -4.9, b = 32, c = 8[/tex].
The maximum height is the output of the vertex, which is:
[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
Then, with the coefficients of this question:
[tex]h_{MAX} = -\frac{32^2 - 4(-4.9)(8)}{4(-4.9)} = 60.2[/tex]
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which [tex]h(t) = 0[/tex], thus:
[tex]\Delta = b^2 - 4ac = 32^2 - 4(-4.9)(8) = 1180.8[/tex]
[tex]t_{1} = \frac{-32 + \sqrt{1180.8}}{2(-4.9)} = -0.12[/tex]
[tex]t_{2} = \frac{-32 - \sqrt{1180.8}}{2(-4.9)} = 3.39[/tex]
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at https://brainly.com/question/24626341
A line has a slope of 3/5. It passes through the points (1, 2) and ( k, 8). What is the value of k?
A. 7
B. 11
C. 8
D. 15
Answer:
B. 11
Step-by-step explanation:
Delta y over delta x
(8-2)/(k-1) = 3/5
6/(k-1) =3/5
6 = 3/5k - 3/5
6 3/5 = 3/5k
K = 11