The elliptical arc of the bridge is described by the length of the given semi-major and semi minor axis.
[tex]\mathrm{The \ equation \ that \ best \ describes \ the \ ellipse \ is; }\ \displaystyle \underline{\frac{x^2}{25^2} + \frac{y^2}{18^2} = 1}[/tex]Reasons:
The given parameters of the ellipse are;
Shape of the bridge support = Top half of the ellipse
Height of the bridge support at the center = 18 feet
Distance from the bridge support from the center on either side = 25 feet
The general equation of an ellipse is presented as follows;
[tex]\displaystyle \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Where;
a = The semi major axis = The distance from the center to the left or right support = 25 feet
b = The semi minor axis = The height of the ellipse at the center = 18 feet
Which gives;
[tex]\displaystyle \mathrm{ \underline{The \ equation \ of \ the \ ellipse \ is; \ \frac{x^2}{25^2} + \frac{y^2}{18^2} = 1}}[/tex]
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how many solutions does the following equation have? 2x+8=2(x+3)
Answer:
0
Step-by-step explanation: 2x+8=2x+6 --> 8=6
8 cant be equal to 6 so this equation is wrong and has no solution.
plz help me im dying 2/7 · 4=
Answer:
8/7
Step-by-step explanation:
2/7 *4/1 = 8/7
Be sure to mark me Brainliest.
Expand this equation
Answer:
Step-by-step explanation:
First multiply 9x3
=[tex]27xy^4x^3y[/tex]
give the terms that dont have a exponent a 1
=[tex]27x^1y^4x^3y^1[/tex]
Multiply terms with the same base
[tex]27x^{1+3} y^4x^3y^1[/tex]
Multiply terms of same base
[tex]27x^{1+3}y^{4+1}[/tex]
Just add all the exponents
[tex]27x^{4}y^{5}[/tex]
What is the distance between (8,0) and (2,5)
GIVING BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The third one
Step-by-step explanation:
Can someone help me please?
x = 130°
If parallel lines are cut by a transversal, alternate exterior angles will be congruent.
Answer:
130 degres
they lie on the same line so the angles are equal
What value of will make the equation a true statement? Explain how you arrived at your solution
(-3+4)+a=0
Answer:
-1
Step-by-step explanation:
First you do what's inside the brackets,
-3 + 4 = 1
Now we have 1 + a = 0
so we rearrange for a
0 - 1 = -1
a = -1
Have a great day <3
What is the value of the expression 2^3 + 2^2 x 2 + 6 - 2^1 x 2^0 - 1
2^3 + 2^2 x 2 + 6 - 2^1 x 2^0 - 1
2³+2³+6-2×1-1
2×2³+6-2-1
2⁴+6-2-1
16+6-2-1
19
can anyone heelp me plz plz
Answer:
c
Step-by-step explanation:
i think it's 1
find the equation of a line in point slope form that crosses through points (3,-2) and (5,2)
-2-2=0.5(3-5)
OR (-2-2)=1/2(3-5)
help me please zearn
Answer:
Radius = 7cm , Circumference = 43.96cm
Step-by-step explanation:
To find the radius, you divide the diameter by 2.
14 / 2 = 7cm
To find the circumference, you multiply 兀 ( 3.14 ) with the diameter
兀d = 兀 x 14 = 43.96cm
find the slip of every line that is parallel to the graph of the equation x-8y=-1
Answer:
1/8
Step-by-step explanation:
x-8y=-1
First, put the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
-8y = -x-1
y = 1/8x +1/8
The slope is 1/8 and the y intercept is 1/8
The slope for parallel lines is the same for all parallel lines
1/8
no link help help help
Step-by-step explanation:
1 / 9 is the correct answer
Answer:
The answer is 1/9
Step-by-step explanation:
Hope it helps.
Which statement best describes the function f(x)=k^−√x+2 if k is a constant such that k > 1 and x≥−2 ? Consider only positive values of the radical.
A
It is an exponential decay function.
B
It is an exponential growth function.
C
It is an increasing power function.
D
It is a decreasing power function.
Answer:
answer is b took the test n dude
Step-by-step explanation:
Find the inequality represented by the graph in the picture below
Answer:
[tex]y \geq2x - 5[/tex]
Step-by-step explanation:
First off, we can tell that the line has a positive slope because it's going upwards to the right. To find the slope of the line exactly, we will start at the first given point and count the units until we get to the next point.
(Remember that slope is written as rise/run.)
So the slope is 2/1 or just 2.
Next, we can tell that the y-intercept is -5, because that's where the line crosses the y-axis.
Additionally, since the line is solid, the inequality sign will either be the "greater than or equal to" sign, or the "lesser than or equal to" sign. In order to tell which one to use, we will look at the shaded area. Since the shaded area is above the line, y will be "greater than or equal to" the line.
So to put it together: The line written in slope-intercept form, is
[tex]y \geq2x - 5[/tex]
Hope this helps you :)
om has 10 coins in his pocket. Some are nickels and some are dimes.
total value of the coins is $0.85. How many of each type of coin does
ave?Tom has 10 coins in his pocket. Some are nickels and some are dimes.
The total value of the coins is $0.85. How many of each type of coin does
he have?
Answer:
7 dimes and 3 nickelsStep-by-step explanation:
10 cents x 7 cents= 70 cents
5 cents x 3 cents= 15 cents
70
+ 15
85
Let H(t) = 68 + 93(0.91)^t give the temperature of a cup of coffee in degrees Fahrenheit t minutes after it is brought to class.
1 Find formulas for H(t + 15) and H(t) + 15.
2 Graph H(t), H(t + 15), and H(t) + 15.
3 Describe in practical terms a situation modeled by the function H(t + 15).
Answer:
Go to demose and plug it in it worked for me but it wont let me out a link in my awnser.
EXAMPLE 8:
Find the measure of the three angles.
Answer:
1. 50
2. 130
3.130
Step-by-step explanation:
50 is a vertical angle to 1. so it has the same value.
a line is 180 so 180-50=130
Pleaseee help I beg youu I will mark branliest
Answer:
5, 1.4
Step-by-step explanation:
you just take a value of x with its matching value of y and divide it
The length of a rectangle is 7 less than the width. If the
perimeter is 50. What is the length and width? Write
an equation for the situation and solve.
Answer:
Step-by-step explanation:
Let width = w
Length = w - 7
Perimeter = 2*(length + width)
2*(w-7 + w) = 50
2* (2w - 7) = 50
2*2w - 7*2 = 50
4w - 14 = 50
Add 14 to both the sides
4w = 50+ 14
4w = 64
Divide the entire equation by 4
w = 64/4
w = 16 units
Length = 16 - 7 = 9 units
How do i get x in this? 6x - 24 = 6x
Answer:
-24 does not equal 0, so therefore there's no solution.
Step-by-step explanation:
In order to get x by its self, you first have to subtract 6x on both sides to get -24 = 0. Next divide 12 on both sides to get -2 = x.
Hope this helps you :)
(Answer has been edited, because I realized I did the first step wrong, my bad.)
Find the slope of the line graphed below.
Answer:
slope = 3/8
Step-by-step explanation:
slope is rise over run
use the points (-4,1) and (4,4)
going up 3 and over 8 will connect you to the other point
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1925 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of
the two cars that week?
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
−38d−57≥−19d+76 solve for d
Answer:
Step-by-step explanation:
- 38d - 57 ≥ - 19d + 76
- 38d + 38d - 57 - 76 ≥ - 19d + 38d + 76 - 76
-133 ≥ 19d
-133/19 ≥ 19/19d
-7 ≥ d
Answer:
[tex]d\leq -7[/tex]
Step-by-step explanation:
Move all terms containing [tex]d[/tex] to the left side of the inequality.
Add [tex]-19d[/tex] to both sides of the inequality.
[tex]-38d-57+19d\geq 76[/tex]
Add [tex]-38[/tex] and [tex]19d.[/tex]
Move all terms not containing [tex]d[/tex] to the right side of the inequality.
Add [tex]57[/tex] to both sides of the inequality.
[tex]-19d\geq 76+57[/tex]
Add [tex]76[/tex] and [tex]57.[/tex]
[tex]-19d\geq 133[/tex]
Divide each term by [tex]-19[/tex] and simplify.
Divide each term in [tex]-19d\geq 133[/tex] by [tex]-19[/tex]. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
[tex]\frac{-19d}{-19} \leq \frac{133}{-19}[/tex]
Cancel the common factor
[tex]\leq \frac{133}{-19}[/tex]
Divide [tex]133[/tex] by [tex]-19.[/tex]
[tex]d\leq -7[/tex]
The result can be shown in multiple forms.
Inequality Form:
[tex]d\leq -7[/tex]
Interval Notation:
[tex](- { \infty} ,-7][/tex]
The sum of 3 times a number and 4 is 2.
I think its 24? or am i just not smart
if you’re reading this please help
9.
Identify the minimum value of the function y = 3x2 − 12x + 10.
A. 10
B. 46
C. 2
D. −2
Answer:
D. −2
Step-by-step explanation:
Use the formula x = − b /2 a to find the maximum and minimum.
( 2 , − 2 )
Express each ratio as a fraction in simplest form.
15 feet out of 36 feet.
Answer to question: 5:12 5/12
Are the graphs of 2x-4y=-12 and y=2x+1 parallel, perpendicular, or neither?
Answer:
I believe the answer is neither
Step-by-step explanation:
Rachel is blowing up a balloon so that the diameter increases at the rate of 10 cm/sec. At what rate must she blow air into the balloon when the diameter measures 4 cm
Using implicit differentiation, it is found that she must blow air at a rate of 251.33 cm³/sec.
A balloon has a spherical format.The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The radius is half the diameter, hence:
[tex]r = \frac{d}{2}[/tex]
[tex]r^3 = \frac{d^3}{8}[/tex]
[tex]V = \frac{4\pi d^3}{24} = \frac{\pi d^3}{6}[/tex]
Applying implicit differentiation, the rate of change of the volume is:
[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]
The diameter increases at the rate of 10 cm/sec, hence [tex]\frac{dd}{dt} = 10[/tex].It is of 4 cm, hence [tex]d = 4[/tex]The rate that she must blow air is:
[tex]\frac{dV}{dt} = \frac{d^2 \pi}{2}\frac{dd}{dt}[/tex]
[tex]\frac{dV}{dt} = \frac{4^2 \pi}{2}(10)[/tex]
[tex]\frac{dV}{dt} = 251.33[/tex]
She must blow air at a rate of 251.33 cm³/sec.
A similar problem is given at https://brainly.com/question/25581404