Answer:
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
Step-by-step explanation:
Roots of a quadratic equation:
The roots [tex]r_1[/tex] and [tex]r_2[/tex] of a quadratic equation in the following format:
[tex]ax^2 + bx + c = 0[/tex]
Can be given by:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1r_2 = \frac{c}{a}[/tex]
In this question:
We have the following quadratic equation:
[tex]dx^2 - cx + p = 0[/tex]
So [tex]a = d, b = -c, c = p[/tex]
One of the roots is twice the other:
So [tex]r_2 = 2r_1[/tex]
First relation:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1 + 2r_1 = -\frac{(-c)}{d}[/tex]
[tex]3r_1 = \frac{c}{d}[/tex]
[tex]r_1 = \frac{c}{3d}[/tex]
Second relation:
[tex]r_1r_2 = \frac{c}{a}[/tex]
[tex]r_1*2r_1 = \frac{p}{d}[/tex]
[tex]2r_{1}^{2} = \frac{p}{d}[/tex]
[tex](\frac{2c}{3d})^2 = \frac{p}{d}[/tex]
[tex]\frac{4c^2}{9d^2} = \frac{p}{d}[/tex]
[tex]p = \frac{4c^2}{9d}[/tex]
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
A(n)?
is a number that is a multiple of two or more numbers.
60 POINTS + BRAINLIEST
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
why do the delete my answer
Among the following correct statement is
a) The number of ways of expressing 36 as a product of two facrors is 4
b) The sum of odd divisors of 18 is 13 c) 220 and 274 are amicable numbers
d) G.C.D of 100, 25 is 1
Answer:
Step-by-step explanation:
a) False. There are three factor pairs for 36:
1×36
2×18
3×12
4×9
6×6
b) True.
18 = 2×3²
Odd divisors of 18: 1, 3, 9
1+3+9 = 13
c) False
100 = 2×5²
25 = 5²
Greatest common divisor = 25
Find the sin of angle T.
Thank you :)
Answer:
More precisely, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.
Step-by-step explanation:
Bunctions, the sine function has an input and an output.
Answer: 7/25
Step-by-step explanation:
To find the sine you divide the opposite side of the angle by the hypotenuse
Please Answer This question.
Answer:
K = 15
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine x = 1/4
Cos² x = K / 16
K =?
Next, we shall determine the 3rd leg (i.e the adjacent) of the right angle triangle. This can be obtained as follow:
Sine x = 1/4
Sine x = Opposite / Hypothenus
Opposite = 1
Hypothenus = 4
Adjacent =?
Hypo² = Opp² + Adj²
4² = 1² + Adj²
16 = 1 + Adj²
Collect like terms
16 – 1 = Adj²
15 = Adj²
Take the square root of both side.
Adj = √15
Next, we shall determine Cos² x.
Adjacent = √15
Hypothenus = 4
Cos² x =?
Cos x = Adjacent / Hypothenus
Cos x = √15 /4
Square both side
Cos² x = (√15 /4)²
Cos² x = 15 / 16
Finally, we shall determine the value of K. This can be obtained as follow:
Cos² x = K / 16
Cos² x = 15 / 16
K / 16 = 15 / 16
K = 15
Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.
Then on the way to the register, Lisa notices a cool pair of shoes that cost $39. If she wants those shoes and the jeans, how many t-shirts will she be able to purchase? Create an inequality to represent the number of t-shirts that Lisa can purchase?
Answer:
To determine the number of shirts that Lisa can buy, knowing that each one is worth $ 14, that she can spend a maximum of $ 150 and that she will also buy a pair of jeans for $ 58 and a pair of shoes for $ 39, the following calculation must be performed:
(150 - 58 - 39) / 14 = X
53/14 = X
3.78 = X
53 - (14 x 3) = X
11 = X
Therefore, Lisa can buy 3 T-shirts, and she will have 11 dollars left over.
Pleaaase help this is due today
Answer:
umm look it up
Step-by-step explanation:
Solve for y
2(3 + 3y) + y = 11
2(3 + 3y) + y = 11
First, apply the distributive property:
2(3 + 3y) + y = 11
6 + 6y + y = 11
6 + 7y = 11
Substract 6 from both sides:
6 - 6 + 7y = 11 - 6
7y = 5
Divide both sides by 7:
[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]
[tex]\boxed{y = \dfrac{5}{7}}[/tex]
Answer. The value of y = 5/7.On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?
Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
C = 398 children.
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
A = 340 adult.
Can someone solve this please
Answer:
35: x=10
36: 9:100
37: 2/3
38: 2 1/42
Step-by-step explanation:
how do I solve this problem, I know the correct answer is "e" don't understand how they got it.
Answer:
expand brackets by squaring what's inside the brackets
Unrestrained growth of cells in a petri dish can be extremely rapid with a single cell growing into a number of cells given by the formula and parentheses T parentheses equals eight to the tea after T hours enter the formula for the number of cells in the petri dish on a culture started with 20 isolated sauce
Richie is planting a rectangular garden with a perimeter of 39 feet. The length is twice the width. Find the dimensions of the garden
Answer:
l=13 ft
w=6.5 ft
Step-by-step explanation:
a rectangular garden would have 4 sides
two of the sides are x feet long
and the other two sides are 2x feet long
therefore
x+x+2x+2x=39
which is the same as saying
6x=39
divide both sides by 6 to get
x=6.5
so the width is 6.5 feet and the length is twice that or 13 feet
Charlotte made a bracelet using red, gray, and white beads.
Five-ninths of the bracelet is white.
The rest of the bracelet has an equal amount of red and gray.
How much of Charlotte's bracelet is gray?
4, 20, 100, 500, what’s the next number?
4, 20, 100, 500, 2500
Answer:
2500
Step-by-step explanation:
multiply by 5 every time
Find the area of the figure
Answer:
Step-by-step explanation:
Just add it
The problem is as follows:
What is the perimeter of this shape?
14 3/5
12 4/5
10 2/5
10 2/5
8 1/2
4 1/2
First I changed all the denominators to 20, as that’s the LCM of all these fractions. Then I added like normal and came up with this answer:
58 71/20
Then I simplified and got
58 9/10
My test says that this is incorrect and that the whole number is actually 61 and the fractional part is actually something else. What did I do wrong when figuring out this problem? Thanks for the help.
3,576 divided by 38
Answer:
3576 ÷by 38= 94
Step-by-step explanation:
I think this ans may help you
Answer:
The answer is 94.1052631579
Step-by-step explanation:
POINTS PLZ HELP!
What is the complete factorization of 8x2 − 8x + 2?
A.
2(4x − 1)2
B.
8(x − 1)(x + 1)
C.
2(2x − 1)2
D.
2(x − 2)(x + 2)
Answer:
Step-by-step explanation:
[tex]step^ 1=>2(4x^{2} -4x+1)\\step^2=> 2(2x-1)^2[/tex]
6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the nearest cent
Answer:
Step-by-step explanation:
The answer depends on whether the interest is simple or compound.
For simple interest:
A = 670(1 + 0.08)(24)
For compound interest
A = 670(1 + 0.08)24
Answer:
???????
Step-by-step explanation:
If the graph of a line goes from the upper left corner of the graph to the lower right corner what can you say about its slope ?
Answer: You can say that the slope is negative since the graph is decreasing.
Step-by-step explanation:
I need help! This is due in 30 minutes!!!
Answer:
It's supplementary
Step-by-step explanation:
They both create 180 degrees when added together because they ar both on a single line.
Answer:
Supplementary angle
Step-by-step explanation:
Please help I am giving brainliest!
Answer:14 i think
Step-by-step explanation:
you have 2 possibilitys first one is 13 and the second one is 14 but im going to go with 14
=====================================================
Work Shown:
Draw a vertical line through point C. This vertical line crosses line segment ED to form point F. I've shown this point in blue. Refer to the diagram below.
Focus on the triangle CFD. This is a right triangle with the 90 degree angle at point F.
Triangle CFD has the vertical red portion equal to 12 units, since segment EB is 12 units (note how quadrilateral BCFE is a rectangle).
Segment FD is ED-BC = 17-10 = 7 units long.
Let's apply the pythagorean theorem to find the hypotenuse CD
a^2 + b^2 = c^2
(CF)^2 + (FD)^2 = (CD)^2
(12)^2 + (7)^2 = (CD)^2
144 + 49 = (CD)^2
193 = (CD)^2
(CD)^2 = 193
CD = sqrt(193)
CD = 13.8924439894499 approximately
CD = 14
When rounding to the nearest whole number, segment CD is approximately 14 units long.
Aliyah's school is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 14 student tickets for a total of $220. The school took in $188 on the second day by selling 11 adult tickets and 7 student tickets. What is the price each of one adult ticket and one student ticket? Write answer as an ordered pair.
Answer:
Step-by-step explanation:
a and s are the numbers of adult and student tickets, respectively.
9a + 14s = 220
11a + 7s = 188 Multiply by -2 and add to first equation.
-22a - 14s = -376
9a + 14s = 220
-----------------------
-13a = -156
a = 12
9(12) + 14s = 220
14s = 112
s = 8
Adult tickets cost $12. Student tickets cost $8.
7. Are the two triangles similar? How do you know? I need this answered quick plz
Answer:
Yes, by the angle angle rule.
Step-by-step explanation:
In the first triangle,
m<C=60 degrees, and m< D=53 degrees. You know that the sum of angles in a triangle add up to 180 degrees, so solve for E. m<E= 67 degrees.
In the second triangle,
m<F=60 degrees and m<H=67 degrees.
Since both triangle have two congruent angles, you can say that the two triangles are similiar by the AA rule.
Both triangle CDE and triangle FGH are similar to each other.
Similar figures
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles of similar figures are congruent.
∠C + ∠D + ∠E = 180° (angles in a triangle)
60 + 53 + ∠E = 180
∠E = 67°
∠C = ∠F, ∠D = ∠G, ∠E = ∠H, hence both triangles are similar.
Find out more on Similar figures at: https://brainly.com/question/2644832
1/3(4 + 18)-2²
PLIS I need help :(
Answer:
10/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
1/3(4 + 18) - 2²
Step 2: Evaluate
(Parenthesis) Add: 1/3(22) - 2²Exponents: 1/3(22) - 4Multiply: 22/3 - 4Subtract: 10/3how de you find standard deviation
Answer:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result.
Then work out the mean of those squared differences.
Take the square root of that and we are done!
write three hundred and sixteen thousand, two hundred and twenty-ninety in numerical form
Answer: 316,229
Step-by-step explanation:
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Which ordered pairs are in the solution set of the system of linear inequalities?
y > Negative one-halfx
y < One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)(5, –2), (–3, 1), (4, 2)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
give me brainliest
Solve the inequality for x.
X-3/4>=-1/8
Simplify your answer as much as possible
[tex]x - \frac{3}{4} \geqslant - \frac{1}{8} [/tex]
Solve the Inequality for x-term.[tex]x \geqslant - \frac{1}{8} + \frac{3}{4} [/tex]
Make both fractions to have same denominators by multiply 2 in 3/4 for both numerator and denominator.
[tex]x \geqslant - \frac{1}{8} + \frac{3 \times 2}{4 \times 2} \\ x \geqslant - \frac{ 1}{8} + \frac{6}{8} \\ x \geqslant \frac{5}{8} [/tex]
Hence, the solution is, "x is greater or equal to 5/8."
Answer[tex] \large \boxed{x \geqslant \frac{5}{8} }[/tex]