Answer:
x=8
Step-by-step explanation:
Area of a rectangle=length×width
Area=104
Width=x
Length=5+x
104=x*(5+x)
104=5x+x^2
104-5x-x^2=0
x^2+5x-104=0
Can also be written as
-x^2-5x+104=0
Solve the quadratic equation using formula
−x2−5x+104=0
using the Quadratic Formula where
a = -1, b = -5, and c = 104
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(−1)(104)/2(−1)
x=5±√25−(−416)/−2
x=5±√441/−2
The discriminant b^2−4ac>0
so, there are two real roots.
Simplify the Radical:
x=5±21/−2
x=-26/2 or 16/2
x=-13 or 8
The value of x can't be negative
So, x=8 is the answer
< Salir
Topic 14 Online Assessment
Esperado 06/10/20 11:59 pm
00:00
Kurt and Drew walk the same distance to school. Their start and end times are different.
Who got to school faster, and by how many minutes?
Kurt
Answer:
Option C.
Step-by-step explanation:
Kurt started for the school at 07:35 and ends at 08:25.
Time taken by Kurt to reach the school
= 08:25 - 07:35
= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]
= 85 minutes - 35 minutes
= 50 minutes
Time taken by Drew to reach the school
= 08:30 - 07:55
= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]
= 90 minutes - 55 minutes
= 35 minutes
Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.
Therefore, Drew is 15 minutes faster than Kurt.
Option C. is the answer.
Which expression is equivalent to 100 n^2 -1?
a) (10n)^2 -(1)^2
b) (10n^2)^2 -(1)^2
c) (50n)^2 -(1)^2
d) (50n^2)^2 -(1)^2
Answer:
a
Step-by-step explanation:
100n^2 = (10n^2)
-1 = -(1^2)
Answer:
So we can ignore the endings because they all have to same endings. We know that 10^2 = 100 We see only 2 answers that have that a and b. But we also need to get the n to the power. So we power each number in the parenthesis by 2. Only A lets you power both 10 and n at the same time.
Answer : ABrainliest?????! Answer ASAP!
Answer:
12
Step-by-step explanation:
12
Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base is perpendicular to the base .
Answer:
Given: An Isosceles Triangle ABC with a vertex at B.
Midpoint M of the base AC.
To Prove: BM is perpendicular to AC.
Proof:
Let the coordinates of the points of the isosceles triangle be given as:
A = (-k, 0)
Vertex, B = (0,a)
C = (k, 0)
Midpoint, M = (0,0)
Slope of the base segment, AC:
[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]
Slope of the base segment, AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]
Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.
[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]
[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex] = Undefined
Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.
Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.
This concludes the proof.
Which among the following is the largest rational number? -2/4 -2/3 -1/3 -4/5
Answer:
-1/3
Step-by-step explanation:
All of the other numbers are less than -1/3
Answer:
-1/3 is the largest rational number
Step-by-step explanation:
[tex]\frac{-2}{4}=\frac{-1}{2}=\frac{-1*15}{2*15}=\frac{-15}{30}\\\\\\\\frac{-2}{3}=\frac{-2*10}{3*10}=\frac{-20}{30}\\\\\\\frac{-1}{3}=\frac{-1*10}{3*10}=\frac{-10}{30}\\\\\\\frac{-4}{5}=\frac{-4*6}{5*6}=\frac{-24}{30}\\\\\\\frac{-24}{30}<\frac{-20}{30}<\frac{-15}{30}<\frac{-10}{30}\\\\\\\frac{-4}{5}<\frac{-2}{3}<\frac{-2}{4}<\frac{-1}{3}[/tex]
-1/3 is the largest rational number
Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers
*I WILL MARK YOU BRAINLIEST!!!!*
Answer:
I believe it's c.
Step-by-step explanation:
Starts and includes 2, goes until and includes 5.
Answer:
C
Step-by-step explanation:
Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.
Given: Lines y and z are parallel, and ABC forms a triangle.
Prove: m25 + m_2 + m26 = 180°
M
Answer: Brainliess plsssssss
The answer in this question is Alternate interior angles are congruent.
Step-by-step explanation:
Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.
5000 people visit a website. 95% stay more than 2 minutes how many people visiting the website stay for more than 2 minutes
Answer:
4750
Step-by-step explanation:
Take 95, move the decimal. 0.95
then multiply 5000 by 0.95
NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!
Consider the triangles
What can be concluded about these triangles? Check
all that apply
O The corresponding angles are proportional
The ratios of the corresponding sides are
equivalent
The corresponding sides are congruent.
O The corresponding angles have the same measure
DE corresponds to IH
The corresponding angles have the same measure and the ratios of the corresponding sides are equivalent.
What are similar figures?Similar figures are figures that have the same shape and the ratio of their corresponding sides are proportional. Also, they have the same corresponding angles.
From the triangles, the corresponding angles have the same measure. Hence, they are similar and the ratios of the corresponding sides are equivalent.
Find out more on similar figures at: https://brainly.com/question/26173060
Answer:
hi im sorry im late, the answers would be:
1. The ratios of the corresponding sides are equivalent.
2. The corresponding angles have the same measure
3. DE corresponds to IH.
Step-by-step explanation: here's proof :)
have a good day!!
at an ice cream parlor a sundae is $1.25 more than the cost of a cone. if three cones and two sundaes cost $8.00. find the cost of a sundae and the cost of a cone.
Please help!- this is 20% of my grade so I can pass 7th grade
AB is parallel to CD . Find the measure of each numbered angle. I NEED HELP ON 8 AND 9 ASAP
Answer:
Question (8). m∠1 = 142°
m∠2 = 300°
Question (9). m∠1 = 73°
m∠2 = 82°
Step-by-step explanation:
Question (8). m∠1 + 38° = 180° [Supplementary angles]
m∠1 = 180 - 38
m∠1 = 142°
m∠x = 38° [Alternate interior angles]
m∠y = 22° [Alternate interior angles]
Now, m∠2 = 360° - (m∠x + m∠y)
= 360° - (38 + 22)°
m∠2 = 300°
Question (9). m∠RMN + 98° = 180°
m∠RMN = 180 -98
= 82°
m∠RMN = m∠ARM = 82°
m∠2 = 82°
m∠SNM = 73° [Vertical angles]
m∠SNM = m∠OSR = 73°[Corresponding angles]
m∠1 = 73°
what is the inverse of the function
Answer:
[tex]g^{-1}(x)=-\frac{3}{2}(x+5)[/tex]
In A, tangent HF and chord EG intersect to form ZHEG. Find mZHEG.
A. 118°
B. 236°
C. 242°
D. 3540
Please select the best answer from the choices provided
B
D
Answer:
A.
Step-by-step explanation:
f(x) = x + 2
g(x) = x - 4
(f g)(x) =
0 2x- 2
O x² – 8
o x² – 2x- 8
o x² + 2x - 8
Answer:
(fg)(x) = x^2 -2x -8
Step-by-step explanation:
(fg)(x) = f(x)·g(x) = (x +2)(x -4)
= x(x -4) +2(x -4) = x^2 -4x +2x -8
= x^2 -2x -8 . . . . matches the 3rd choice
Evaluate the expression for
m = -3.
-4 |5+m |
Answer: the correct answer is -8
Step-by-step explanation:
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
What is the first step in evaluating an expression?The first step in evaluating an expression is to substitute the given value of a variable into the expression. Then you can finish evaluating the expression using arithmetic.
What is an example of evaluating expressions?A variable is a letter, for example, x, y, or z, that represents an unspecified number. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12.
Learn more about Evaluate the expression here: https://brainly.com/question/4541471
#SPJ2
!!Will mark Brainliest!! The points in the table lie on a line. What is the slope of the line?
Answer:
-7/6
Step-by-step explanation:
you've got a summer job renting beach umbrellas and chairs to tourists at the beach. part of your job is to encourage people to rent from you,your pay structure includes an incentive. along with a daily rate of pay of $50, you earn an extra $2 per umbrella you rent and $1 per chair you rent. you kept a tally of the number of umbrellas and chairs you rent each day. what is the function you can use to quickly calculate your earnings?
Answer:
50+2x+y
Step-by-step explanation:
50 dollars plus 2dollars , x representing how many umbrellas are being rented, and y representing how many chairs are rented
tom gets a bonus of 30% of £96
sally gets a bonus of £31.40
work out the difference between the bonus that tom gets and the bonus that sally gets
Answer:
The difference between the bonus is £2.6
Step-by-step explanation:
First, you have to calculate the amount that Tom get for his bonus. So you have to multiply 30% to £96 :
[tex] \frac{30}{100} \times 96 = 28.8[/tex]
Next, you have to subtract Tom's amount from Sally's amount because Sally has the higher amount of bonus than Tom :
[tex]31.4 - 28.8 = 2.6[/tex]
Can anybody help me solve for surface area?
(Formula=add all the areas of the faces)
Answer:
230.3cm^2
Step-by-step explanation:
surface area: sum of all faces
base: 12 x 2.5 = 30cm^2
back: 84 cm ^2
cross section x 2 = 7 x 2.5 = 17.5
use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4
so, area of slope : 7.4 x 12 = 88.8cm^2
sum of all areas: 114 + 106.3 = 230.3
Krishne wants to measure the mass and volume of a key. Which tools should she use?
Answer:
a balance and a beaker of water
hope it helps mark as brainliest
Answer:
water and beaker, and other science tools
Step-by-step explanation:
why is 8.8 a rational number
Answer:
See below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10
Having problems with this
Answer:
45
Step-by-step explanation:
Since angles 4 and 2 are the same, we will have to do x+30 is = to 2x+15. After that x= 15. Substitute x in x+30. Which results in 45
Answer:
45°
Step-by-step explanation:
Corresponding angles are equal. ∠4 and ∠2 are equal.
[tex]x+30=2x+15[/tex]
Add -x and -15 on both sides of the equation.
[tex]30-15=2x-x[/tex]
[tex]15=1x[/tex]
∠4 = x+30
Put x as 15 in the equation.
[tex](15)+30[/tex]
[tex]=45[/tex]
35 points!
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
A.) 2 Db
B.) 22 Db
C.) 60 Db
D.) 110 Db
Answer:
22
Step-by-step explanation:
Im sure because my sister got the same question on a test and she put 22 and got it right
The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Given that:
L = 10log(I / I₀)
Where L is the loudness, I is the sound intensity and I₀ = 10⁻¹².
For I = 10⁻¹:
L = 10log(10⁻¹ / 10⁻¹²) = 110 dB
The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.
Find out more on Equation at: https://brainly.com/question/2972832
Please answer !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
f ⁻¹ (-2)=3
f ⁻¹ (1)= 0
Step-by-step explanation:
inverse functions are switching x and f(x) coordinates so f ⁻¹ (-2)=3 and f ⁻¹ (1)= 0
What is the perimeter?
Answer:
91+c
Step-by-step explanation:
The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.
If A = T, then SM ___ MO. > = < NEED HELP
Answer:
I'm not sure but I think the answer is >
Step-by-step explanation:
It looks rig but if I were u I wouldn't trust me
i just did the quiz, It's > !
A survey showed that the average daily expenditure ( in rupees) of 24 household of a city were 215 , 248 , 225, 237, 227, 240, 238, 215, 214, 249, 236, 244, 221, 219, 232, 216, 242, 220, (230, 238, 228, 225, 211,221. What is the frequency of the class interval 225 – 230 (EXCLUDING 230)
Answer:
The frequency of the class interval 225 – 230 is 4
Step-by-step explanation:
The frequency of the class interval can be seen as how many times that elements within the class interval appeared.
To do this we will have to count out all the numbers that are bigger than 225 but less than 230. These are the elements in this class (225 - 230).
They include:
225, 227 228, 225
Hence there are 4 elements in this class.
The frequency of the class interval 225 – 230 is 4
Please answer this correctly
Answer:
4 days
Step-by-step explanation:
there are 8 pints in a gallon
Answer:
4 days.
please see the attached picture for full solution solution.
hope it helps
good luck on your assignment