Answer:
x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)
Step-by-step explanation:
x=5±−(5)2−4(4)(9)√2(4)
x=5±−(5)2−4(4)(−9)√2(4)
x=−5±(−5)2−4(4)√−92(4)
x = -b ± √b² - 4ac / 2a
Given equation:
4x²- 5x = 9
4x² - 5x - 9 = 0
a = 4
b = -5
c = -9
x = -b ± √b² - 4ac / 2a
x = -(-5) ± √(-5)² - (4)(4)(-9) / 2(4)
x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)
The correct formula is
x = 5 ± √(-5)² - (4)(4)(-9) / 2(4)
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
Which of the following best describes the solution to the system of equations below? -8x + 3y = -6 9x - 3y = 6 A. The system of equations has exactly one solution where x = 8 and y = 2. B. The system of equations has no solution. C. The system of equations has infinitely many solutions. D. The system of equations has exactly one solution where x = 0 and y = -2.
Answer:
C. no solution
Step-by-step explanation:
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (10x-1)^{\circ}m∠QRS=(10x−1) ∘ , \text{m}\angle RPQ = (3x+17)^{\circ}m∠RPQ=(3x+17) ∘ , and \text{m}\angle PQR = (2x+12)^{\circ}m∠PQR=(2x+12) ∘ . Find \text{m}\angle QRS.M∠QRS.
Answer:
<QRS = 55 degrees
Step-by-step explanation:
Given the following
m∠QRS=(10x−1) ∘
∠RPQ=(3x+17) ∘
m∠PQR=(2x+12)
External angle m<QRS = 10x-1
Interior angles are m∠RPQ=(3x+17) ∘ and m∠PQR=(2x+12)
Using the law that the sum of interior angle is equal to exterior
10x + 1 = 3x+17 + 2x + 12
10x+1 = 5x+29
10x-5x = 29-1
5x = 28
x = 28/5
x = 5.6
Get m<QRS
Recall that <QRS = 10x - 1
<QRS = 10(5.6) - 1
<QRS = 56-1
<QRS = 55 degrees
i need help asap! pls
The answer is b) because one of the line passes through this point
Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students.
Answer:
I don't know
Step-by-step explanation:
but what I do know is to not increase your days is bad
Pls help I’ll give brainliest
Answer:
A. 4 + 4.5 + 3.5 + 3m = 30
Explanation:
Josies's goal = 30 miles each week
She already ran 3 days of the week which leaves us 4 more days
7 - 3 = 4
She said she wanted to have a day off to rest
4 - 1 = 3
which brings us to 3 days left to finish her goal
3m (where 'm' is the miles she'll be running each day)
whats the line shown on graph?
Find the area (nearest tenth) please help
Step-by-step explanation:
Area of parallelogram = base×height
= 13×5
= 65m²
Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
10
2. The equation 2x - 5y = 20, the table below, and the graph
below represent three different linear functions.
X
у
3
1
-2
4
-1
7
0
10
21
2
13.
16
3
19
1
which function represents the line with the greatest slope?
Explain your reasoning
3. Winto an equation in standard form for the line that is
represented by the data in the table
x
-1
2
3
7
5
3
1
4. Write an equation in standard form for the line with a stope
of that passes through the point (2)
5. Doomine the concept y barcopt, and slope of the line
described by 3x7 -21
Answer: You have to be packiing
Step-by-step explanation: 17 inches
Working at papa rons pizza you make 30 per shoft plus 3 per pizza you deliver. If you worked gor bombinoes you eould make 20?Per shift snd 4 per pizza you delivers. How many pizzas do you have to deliver to earb the same amount of money
Answer: 10 pizzas
Step-by-step explanation:
To answer this you need to equate the formulas of the money earned from both pizzerias.
Assume number of pizzas is x:
Papa rons:
= 30 + 3x
This is the amount one gets for delivering a certain number of pizzas
Bombinoes
= 20 + 4x
Equate them:
30 + 3x = 20 + 4x
30 - 20 = 4x - 3x
x = 10
10 pizzas would earn you the same amount of money.
A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Answer:
1 teaspoon
Step-by-step explanation:
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answer:
3.8 quarts
Step-by-step explanation:
Given point A(2, -1) and point B(5,3), what is the slope of a line that passes through
points A and B?
Answer:
y2-y1/x2-x1
3-(-1)/5-2
3+1/3
4/3 answer
If the simple interest on $1000 for 9 years is $630, then what is the interest rate?
Answer:
0.07 or 7%
Step-by-step explanation:
I = Prt
630 = (1000)(9)r
630 = 9000r
r = 0.07
Step-by-step explanation:
Simple interest (SI) = $ 630
Time (T) = 9 years
Principal (P) = $ 1000
Rate (R) = ?
We know
[tex]si = \frac{ptr}{100} \\630 = \frac{1000 \times 9 \times r}{100} \\ 630 = 90r \\ r \: = \frac{630}{90} \\ = 7\%[/tex]
Therefore the rate of interest is 7%.
Hope it will help :)❤
10=k5 what does k equal
Answer:
k = 2
Step-by-step explanation:
10 = 2(5)
10 = 10
Answer: k=2
Step-by-step explanation:
10=(2)5
10=2x5
10=10
Find the area.
4 cm
6 cm
6 cm
square centimeters
Answer:
96cm
Step-by-step explanation:
4cm x 4cm x 6cm = 96scm
Please help with these 3! Don’t need the steps, just the answer
What is an equivalent expression of -1/2(-2x+4y
Answer:
x−2y
Step-by-step explanation:
you meant to put a parenthesis at the end right?
The parallel sides of a trapezium are 20 cm and 10cm and its non parallel sides is 2 m if one of the parallel side is double he oher find the measures of the parallel sides
Answer:
The parallel sides of a trapezium are 20 cm and 10cm and its non parallel sides is 2 m if one of the parallel side is double he oher find the measures of the parallel sides
Step-by-step explanation:
Base of triangle :
(20 - 10) / 2 = 10/2 = 5m
The height, h :
What is the volume of a triangular prism with a height of 11.5 feet and a base
area of 34 feet?
Divide the polynomials: x^2+2/x-1
Answer:
Solution:
x³ - x + 2 / x
...........
The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters. Which measurement is closest to the area of the head of this nail in square millimeters?
Answer: [tex]\boxed{\ 28.26}[/tex]
My step-by-step explanation:
We would use the formula πr2 (pi x radius x radius)2.In this problem we were given the diameter of 6, in order to find the radius, you just divide by 2
And so we find: 6mm÷2=3mm3. So now that we have our radius, we can just plug the numbers into the formula. So this would be:
πr2= 3.14 x 3 x 3= 28.26mm2Hope this helps you!
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answer:
$315
Step-by-step explanation:
Is this true for false?
Answer:
i believe true
Step-by-step explanation:
sorry if wrong
Help me solve this question please
Answer:
ii
Step-by-step explanation:
The surface area of a cone is about 64 square meters. The radius of base is 2 meters. What is the slant height?
Answer:
Step-by-step explanation:
L is the slant height
area of base = 4π m²
lateral area = surface area - base area = 64-4π
πrL = 64-4π
L = (64-4π)/(2π) = 8.2 m
What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
What is the volume of this cone?
Answer:
167.46
Step-by-step explanation:
[tex]V=\frac{1}{3} X \pi r^{2} X h[/tex]
[tex]\frac{1}{3} x 3.14 x 4^{2} x10[/tex]
[tex]\frac{1}{3} X 50.24x 10[/tex]
[tex]\frac{1}{3} x 502.4[/tex]
[tex]V=167.46[/tex]
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
has anyone taken the math kangaroo competition
and if so how should i prep theres not much material on it im currently in level 7-8