Answers
Step-by-step explanation:
First find the area of the rectangle with the variables.
[tex](x + 5) \times x = {x}^{2} + 5x[/tex]
Now the areas are equal, so we have to solve the equation
[tex] {x}^{2} + 5x = 36 \\ x + \sqrt{5x} = 6 \\ 3.236x = 6 \\ x = 1.854[/tex]
Related Questions
4x^2-21x-18=0
Find the discriminate
Answers
a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:729
Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729
For an equation to have infinitely many solutions, the solution will appear as a ______ statement.
Answers
Answer:
true
Step-by-step explanation:
for example, when you solve an equation and you get something like 16=16, which is infinitely many solutions and is also a true statement
Need help with this please
Answers
Answer:
The answer is 25.
Step-by-step explanation:
hope this helps
Help plzzzzzzzzzzzzzzz
Answers
Answer:
the answer for your question is coordination
Where is the blue dot on the number line? -1.15 - 1.1 - 1.05
Answers
Find the value of each trigonometric ratio.
A. 15/17
B. 15/8
C. 17/8
D. 8/17
Answers
Showing algebraic support, find the value of x.
Answers
Answer:
x = 52.5
Step-by-step explanation:
The triangle on the left has 2 congruent sides, thus is isosceles
The base angles of an isosceles triangle are also congruent, thus
x = [tex]\frac{180-75}{2}[/tex] = [tex]\frac{105}{2}[/tex] = 52.5
What is the slope of the equation y = 3x + 2?
Answers
Answer:
3
Step-by-step explanation:
the equation is y=mx+b
m=slope
so then 3 would be the slope
hope this helps :3
if it did pls mark brainliest
Answer:
3
Step-by-step explanation:
To find the slope, think of the equation used for slope intercept form.
y = mx + b
m is the slope, and b is the y intercept.
In this equation, m = 3
Thus, the slope is 3
Which two values of x are roots of the polynomial below?
5x2 - 5x+1
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]5 {x}^{2} - 5x + 1 = 0[/tex]
[tex](x - \frac{5 + \sqrt{5} }{10} )(x - \frac{5 - \sqrt{5} }{10} ) = 0 \\ [/tex]
Thus :
[tex]x = \frac{5 + \sqrt{5} }{10} \\ [/tex]
[tex]x = \frac{5 - \sqrt{5} }{10} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Assume that y varies directly with x. If y=−4 when x=2, find y when x=−6. Enter in any fractions using a / (e.g. "1/2" is the same as 1^/2).
Answers
Answer: 12
Step-by-step explanation:
This is a direct proportion and we use the formula:
y = kx
If y = −4 when x=2, we need to find the constant of proportionality. This will be:
y = kx
-4 = 2k
k = -4/2
k = -2
To find y when x=−6 guess this:
y = kx
y = -2 × -6
y = 12
Hence, The value of y = 12 when x = -6.
Given that , Y varies directly with x .
If y=−4 when x=2,
Find y when x=−6.
According to the question,
This is a direct variation , y = kx
If,
y = −4 when x=2,
y = kx
-4 = 2k
[tex]k = \frac{-4}{2}[/tex]
k = -2
To find ;
y when x = −6
y = kx
y = (-2) (-6)
y = 12
Hence, The value of y = 12 when x = -6.
For more information about Direct variation click the link given below.
https://brainly.com/question/13977805
Priya and Han are biking in the same direction on the same path.
1. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after t hours.
miles
2. Priya started riding a half hour before Han. If Han has been riding for t hours, how long has Priya been riding?
hours
3. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.
4. Use your expressions to find when Han and Priya meet.
t=
They meet after Han rides for
hours and Priya rides for
hours.
Answers
Answer:
1. V = D/t => D=Vt. as V = 16mph
D = 16t
2. Prya has been riding for t+½ hours
3. Prya has gone 12(t+½) miles
4. When Prya and Han meet
16t = 12t +6
4t = 6
t = 3/2 hours
Determine if the table shows a linear or an exponential function
Answers
Answer:
The table shows an exponential function
Step-by-step explanation:
Linear vs Exponential Functions
A linear function is written as:
[tex]y=mx+b[/tex]
where m and b are constants.
If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.
The slope can be calculated as:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
An exponential function is written as:
[tex]y=y_o.r^x[/tex]
Where r is the ratio and yo is a constant.
If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.
The ratio can be calculated as:
[tex]\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}[/tex]
Calculate the slope for (0,4) and (1,2):
[tex]\displaystyle m=\frac{2-4}{1-0}=-2[/tex]
Calculate the slope for (1,2) and (2,1):
[tex]\displaystyle m=\frac{1-2}{2-1}=-1[/tex]
Since the slope is not the same, the function is not linear.
Now calculate the ratio for (0,4) and (1,2)
[tex]\displaystyle r=\sqrt[1-0]{\frac{1}{2}}[/tex]
The radical of index 1 is simply equal to its argument:
[tex]\displaystyle r=\frac{1}{2}[/tex]
Now calculate the ratio for (0,4) and (2,1)
[tex]\displaystyle r=\sqrt[2-0]{\frac{1}{4}}[/tex]
[tex]\displaystyle r=\sqrt{\frac{1}{4}}[/tex]
[tex]\displaystyle r=\frac{1}{2}[/tex]
Testing other points we'll find the same ratio, thus the table is an exponential function
What is mQP?
A.) 20°
B.) 70°
C.) 100°
D.) 40°
E.) 80°
Answers
Answer:
i think it might be b 70° sorry if it's not
identify the like terms in:
Answers
Answer:
bthw like your phone case the answer is ac and hope this helps mark me branliest
Step-by-step explanation:
Factor this expression completely, then place the factors in the proper location on the grid.
x3 - 1
Answers
Answer:
(x - 1)(x^2 + x + 1)
Step-by-step explanation:
they said it was the answer.
What does similar mean
Answers
resembling without being identical
PLEASE HELP
(image included)
Answers
Answer:
Cameron found 23 quarters and 57 dimes.
Step-by-step explanation:
Let the number of quarters Cameron found = Q
And the number of dimes = D
Since, total number of coins were 80,
Q + D = 80 -----(1)
Total amount of the coins was $11.45,
0.1D + 0.25Q = 11.45
10D + 25Q = 1145
2D + 5Q = 229 -----(2)
Equation (1) multiplied by 2 then subtracted by equation (2),
(2D + 5Q) - 2(Q + D) = 229 - 2(80)
(2D - 2D) + (5Q - 2Q) = 229 - 160
3Q = 69
Q = 23
From equation (1),
23 + D = 80
D = 57
Cameron found 23 quarters and 57 dimes.
Solve for x: x2 = 16
Answers
Answer:
8
Step-by-step explanation:
to get x alone you divide the 2 away on both sides, getting x = 8. To check multiply 8 by 2 and you get 16.
Hope this helps!
Take the root of both sides and solve.
x = 4, −4
I got a 98% on my midterm im not boasting just congratulate me and it was in SPANISH im shoooook here are free 100 points
oh and so this don't get taken down answer this:
what is 4 x 203
Answers
Answer:
812
Step-by-step explanation:
Answer:812
Step-by-step explanation: multiply 4 by 203
PLEASE HELP QUICK FIND THE y-intercept and the slope and the roc
please don’t do it for the points i actually need help
Answers
Answer:
4.5 or 5
Step-by-step explanation:
Acording to your graph it would be whatever point that is one the Y line which is going vertical.
find ten rational number between –3and–2
Answers
Answer:
0
Step-by-step explanation:
What is the percent of change from 100,000 to 20,000?
400% increase
400% decrease
80% decrease
80% increase
Answers
Answer:
That is an 80% increase
wich expression is equivelent to 4(3+5)-3times9 to the power of 2
Answers
Answer:
-211
Step-by-step
100 POINTS!!! HELP PLEASE!!
(12-15) Q(x) = 2x^4 - 7x^3 + 6x^2 + x -2
1. Use synthetic division to determine whether (x-1) is a factor of Q(x).
2. Use synthetic division in to find Q(-2)
3. List all of the possible rational roots of Q(x) = 0
4. Find all of the real roots Q(x) =0
Answers
Answer:
Step-by-step explanation
Edna has a segment with endpoints F(4,9) and G(7,2) that is divided by a point H
Answers
Answer:
1/4 is your answer.
Step-by-step explanation:
What is the shape of the cross section taken perpendicular to the base of a cone?
Answers
Answer:
triangle
Step-by-step explanation:
the nth term of a sequence is 3n²-1
what are the second and fifth terms?
Answers
2nd term: 3(2)^2 - 1
5th term: 3(5)^2 - 1
Answer:
11 and 74
Step-by-step explanation:
To find the second and fifth terms substitute n = 2, n = 5 into the rule, that is
a₂ = 3(2)² - 1 = 3(4) - 1 = 12 - 1 = 11
a₅ = 3(5)² - 1 = 3(25) - 1 = 75 - 1 = 74
On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee.
What number is the slope of the line shown by the equation?
Answers
Answer:
y=40x+75
40 is the slope and the y-intercept is 75
In what quadrant would (9, -13) be located?
Answers
Answer:
The point is located in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Step-by-step explanation:
Answer:
It would be located in the second quadrant or the one under the positive quadrant
Step-by-step explanation:
need help asap please
Answers
Answer: f = 12.5
Step-by-step explanation:
[tex]f = \frac{25}{2} \\decimal form = 12.5\\ mixed fraction form 12 \frac{1}{2}[/tex]
