Answer:
Width = 4 in
Length = 8 in
Step-by-step explanation:
Given:
Area of a rectangle = 32 in²
Find:
Length and width
Computation:
Assume;
Width = x
Length = x + 4
Area of a rectangle = lb
32 = (x+4)(x)
x² + 4x = 32
x² + 4x - 32 = 0
x² + 8x - 4x - 32 = 0
x(x+8) - 4(x+8) = 0
(x-4)(x+8)
x = 4 , x = -8
So,
Width = x = 4 in
Length = x + 4 = 4 + 4 = 8 in
The graph models the path of a soccer ball, showing the vertical distance, in yards, as a function of the horizontal distance, in yards.
2 is less than or equal to x is less than or equal to 4
What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?
Answer:
(x+1)^2+(y+4)^2=16
Step-by-step explanation:
equation of the circle
(x-x0)^2+(y-y0)^2=r^2
where x0 and y0 is center of circle
and r is radius of the circle.
we know that the center point is the middle of the diameter
so x0=(x1+x2)/2
x0=(3+(-5))/2=-2/2=-1
y0=(-4+(-4))/2=-8/2=-4
so the midpoint or the center of circle is the points (-1,-4)
the formula to find the distance between two. points is √[(x2-x1)^2+(y2-y1)^2]
so r is the distance between the center point and one of the diameter endpoints.
let us take points (3,-4) and center point (-1,-4)
√(-1-3)^2+(-4-(-4))^2=
√(-4)^2+0^2=
√16=4
so the radius of the circle is 4
now the equation of the circle will be
(x-(-1))^2+(y-(-4))^2=4^2
(x+1)^2+(y+4)^2=16
A tree is currently 10 feet tall and grows 2 feet per year
Answer:
More info
Step-by-step explanation:
I need more info than that please!`
1 feet = 12 inches
3 feets= 36 inches
8 feets = 96 inches
hope this helps
Assume the year that it would take to these trees have the same height is : x (years)
After x years, type A tree has heigth: 36 +23x (inches)
After x years, type B tree has heigth: 96 +17x (inches)
We have 36+23x = 96+17x
Solve the equation, we have x=10
Conclusion: It will take 10 years to these trees have the same height.
Find the value of the expression 0.5^10/0.5^7
Answer:
The solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]Step-by-step explanation:
Given the expression
[tex]0.5^{10}\div 0.5^7[/tex]
Solving
[tex]\frac{0.5^{10}}{0.5^7}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
so
[tex]\frac{0.5^{10}}{0.5^7}=0.5^{10-7}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:10-7=3[/tex]
[tex]=0.5^3[/tex]
[tex]=0.125[/tex] ∵ [tex]0.5^3=0.125[/tex]
Therefore, the solution is:
[tex]\frac{0.5^{10}}{0.5^7}=0.125[/tex]
Every 15 minutes, a shuttle bus transports 14 people to the airport terminal How many people can the shuttle bus transport in 9 trips to the airport terminal?
Answer:
126
Step-by-step explanation:
if it have 9 trips and each trip there is 14 people so we do 14×9=126
At one time the price of gasoline was $1.279 a gallon. Then the price
increased 130% of the original price. What was the cost of the increase in
the price of gasoline?
Answer:
1.6627 (money wise, $1.66)
Step-by-step explanation:
Since its 130%, you know there was already a whole increase. So first you would do 1.279 + 1.279, which would give you 2.558. Then you need to calculate 30% of 1.279 for the rest of the increase. That gives you 0.3837 Add 2.558 and 0.3837 together, which would give you 2.9417. To get the INCREASE, you would have to subtract the new total from the original price, so 2.9417 - 1.279. This would give you 1.6627.
The area of a circle is equal to
Answer:
A=[tex]\pi r^{2}[/tex]
According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
The approximate solution to the trigonometric inequality will be 0<=x<0.7896. Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given inequality;
tan(x/4)<1/5
x/4 = tan⁻¹(1/5)
0<=x<0.7896
The approximate solution to the trigonometric inequality will be 0<=x<0.7896.
Hence option A is correct.
To learn more about inequity, refer to https://brainly.com/question/20383699
#SPJ2
Answer:
A. 0 <= x < 0.7896
Step-by-step explanation:
EDG
i need all questions please, will be giving brainliest and please make sure the answers are correct
2 cadenas de operaciones distintas cuyo resultado sea 325 utilizando las 4 operaciones básicas
Answer:
Dos cadenas de operaciones matemáticas distintas, cuyo resultado sea 325 utilizando las 4 operaciones básicas (suma, resta, multiplicación y división) pueden ser las siguientes:
((2 + 8) / 2) x 65 = 325
10 / 2 x 65 = 325
5 x 65 = 325
325 = 325
((300 / 10) x 15) - 130 + 5 = 325
(30 x 15) - 130 + 5 = 325
450 - 130 + 5 = 325
325 = 325
The 2 different chains of operations resulting in 325 using the 4 basic operations are;
[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]
and;
[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]
According to the question, we are to find 2 different chains of operations resulting in 325 using the 4 basic operations.
The four basic operations are addition(+), subtraction(-), division(÷) and multiplication (×).
One of the chains of operation will be:
[tex]=[(500 +(450\times2)) - 100]\div4\\=[(500+900)-100]\div4\\=[1400-100]\div4\\=1300\div4\\=325[/tex]
Another chain of reaction will be:
[tex]=[(140 +125)-135)] \div 2]\times5\\=[(265-135)\div2] \times 5\\=(130\div2)\times 5\\=65\times 5\\=325[/tex]
Learn more here: https://brainly.com/question/22224175
Scott runs 3 miles in 27 minutes.
How many miles does he run per minute?
Answer: 1/9 of a mile
Step-by-step explanation:
3/27=x/1
27x=3
Divide by 27
3/27=1/9
Answer:
9
Step-by-step explanation: 9 +9 +9=27
The State Furniture Company makes tables. The number of tables made on a given day is shown by the expression 20h , where h is the number of hours the company is open that day. What is a reasonable set of values for h?
Answer:
z
Step-by-step explanation:
sdggsgsgdd
Answer:
im sorry
Step-by-step explanation:
i ned help on the same question
Rita charges $60 for 5 tutoring session. What is the cost per session?
Answer:
$12=$60÷5. 12dollars is the answer
if f(x)= 1/x+2, what is f(3+h)?
A. 1/ (x+2)(3+h)
B. (3+h)/(x+2)
C. 1/(3+h)
D. 1/ h+5
Answer:
D. 1/h+5
Step-by-step explanation:
f(x)=1/3+h+2
F(x)=1/h+5
They who answer first, brainliest is thy prize
Answer:
Quotient: 3x+3
remainder: -2x+5
Step-by-step explanation:
Use polynomial long division
Determine if the following table represents a linear function. If so, what's the rate of change?
x y
2 3
4 6
6 9
8 12
a-No (non-linear function)
b-Yes; rate of change =23
c-Yes; rate of change = 2
d-Yes; rate of change =32
simplify each of the following ratios.
e) 2/3 : 3/2 : 5/8
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8.
Remember, a ration and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
May I have brainliest please? :)
Express it in slope form
Answer:
y=1/3x-4
Wish i could explain but i gtg
Step-by-step explanation:
Someone help me please.
Find the measure of 0.(to the nearest tenth)
Answer:
I don't believe any are correct, from what I know its 36.9.
Step-by-step explanation:
sorry I know this isn't help full good luck!
What is the slope of the line represented by the equation 3x+4y=12?
Answer:
-3/4
Step-by-step explanation:
3x+4y=12
-3x -3x
4y=-3x+12
÷4 ÷4
y=-3/4x+12
Answer:
-3/4 or -0.75
Example:
Help
The diameter of the circle is 8in
Answer:
25.13 or 8pi
Step-by-step explanation:
The sum of a two-digit number is 11. The reverse number is 9 greater than the original number. Find the reverse number.
Answer:
56
Step-by-step explanation: so 5+6=11, 65 is th
reverse of 56, 56+9=65
The diameter of a circle is 20 centimeters. What is the radius?
Answer:
10
Step-by-step explanation:
radius is the middle point of a circle, therefore divide it in half.
23) Solve for :
-3x + 14 > -13.
Answer:
x < 9
Step-by-step explanation:
-3x + 14 > -13
-3x > -13 - 14
-3x > -27
-x > -27 ÷ 3
-x > -9
x < 9
Answer:
explaination. a ah. is
Help me!!!
What is the polar form of -273-6/?
O 2V6 (cos(") + isin (3)
O 475 (cos () + isi (20)
o 2V7 (cos(7") + sin(47)
O 483 (cos(47) + isin (47)
Solve: 3x – 8 = 6(1 – 2x) + 16
Answer:
x=2
Step-by-step explanation:
3x-8=6-12x+16
3x+12x=22+8
15x=30
x=2
Answer:
x=2
Step-by-step explanation:
It's right bc I took the test and got it 100%
Please answer 1 and 2! Thank you!
Answer:
there is nothing here so??
Answer:
where??? uhhhhhhhh lol
A company borrows $52,500 for 5 years at a simple interest of 3.5% to buy cabinets.
Calculate the TOTAL mechanical energy of a pendulum (mass 4 kg) as it swings from its highest point to its lowest point. Use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. Total energy is the sum of gravitational potential energy and kinetic energy. In this problem, round gravity to: g = 10 m/s2.
**** BONUS POINTS ADDED FOR ANSWER****
Answer: its should be 2.0 and 4.5 on it ✨
Step-by-step explanation: trusttt me
f(x)=3x^2 – x+5, 2f(–3) – f(2)