Answer:
Step-by-step explanation:
Assume that and multiply the equation by 4p. Then you obtain the equation (x-h)^2+4pk=0.
1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.
2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.
2) If k<0, then 4pk<0 and the equation has two different solutions and there are two zeros.
Answer:
Given equation:
[tex]\frac{1}{4p} (x - h)^2 + k = 0[/tex]Multiply this by 4p to get:
(x - h)² + 4pk = 0Rewrite this as:
(x - h)² = 4pk1) If p > 0 and k < 0
(x - h)² < 0, then no real solutions as left side is always positive2) If p > 0 and k = 0
(x - h)² = 0, then x = h, one solution = 1 zero3) If p > 0 and k > 0
(x - h)² > 0, then there 2 real solutions = 2 zeros:x = h ± 2[tex]\sqrt{pk}[/tex]A rectangle has a perimeter of 60 inches and a length of 22 inches. What is the width of the rectangle?
Answer:
8in
Step-by-step explanation:
I hope this helps. have a great dsy
Answer:
perimeter of a rectangle = 2( l+b )
perimeter = 60 inches
length = 22 inches
∴ width =
2 ( 22 + b ) = 60
22 + b = 60/2 = 30
22 + b = 30
b = 30 - 22 = 8 inches
∴ width = 8 inches
hope this answer helps you..
please mark as brainliest .. thank you!
The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are found to be complementary. find the height of the tower.
Answer:
132 m
Step-by-step explanation:
Refer to attachment for figure.
In smaller triangle with angle theta , we have ,
⇒ tanθ = p/b
⇒ tanθ = h/121m
⇒ tanθ = h/121 m
In triangle with angle 90-∅
⇒ tan(90-θ) = p/b
⇒ cot θ = h/144 m
Multiplying these two ,
=> tanθ . cotθ = h/121 m × h/144m
=> 1 = h²/ (121 m × 144m )
=> h² = 121m × 144m
=> h= √ ( 121m × 144m)
=> h = 11m × 12m
=> h = 132 m
What is the value of the y-coordinate of point A
Answer:
there's no pic
Step-by-step explanation:
can you re attach it plz I might be able to help
Select the function that matches the graph
Answer:
y=3x+1
Step-by-step explanation:
the y is postitive 1 and the slope is 3
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
We can cross A and B off cause it involves multiplication
We can cross D off cause 3 + 3 + 3 = 9, not 27
Have a good day! Can u mark me as brainlist? :)
what is the approximate circumference of a plate with a diameter of 12 inches? use 3.14 for π. Round to the nearest hundredth if necessary. (I really need this it's a test)
Answer:
37.7
Step-by-step explanation:
C=πd=π·12≈37.69911
rounded to the nearest hundredth 37.7.
hoped this helped.
What is the solution for -3n = 12
Answer:
-4
Step-by-step explanation:
Answer:
n = -4
because
-3n=12
n=12/-3
n=-4
Hi there! I have a math problem I need help on: A recipe calls for 1 teaspoon of cinnamon. You only have a 1/2 teaspoon measuring spoon. What fraction of a teaspoon of cinnamon, in halves, do you need? Please include the answer in your reply, and please don't go off-topic.
You need 2 half-teaspoons, since
1/2 tsp + 1/2 tsp = (1 + 1)/2 tsp = 2/2 tsp = 1 tsp
(6, - 3, 1) and (8,9,-11) find the angle between the vector
Answer:
The angle between the two vectors is 84.813°.
Step-by-step explanation:
Statement is incomplete. Complete form is presented below:
Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.
Let [tex]\vec u = \langle 6, -3, 1 \rangle[/tex] and [tex]\vec v = \langle 8,9,-11 \rangle[/tex], the angle between the two vectors is determined from definition of dot product:
[tex]\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)[/tex] (1)
Where:
[tex]\vec u[/tex], [tex]\vec v[/tex] - Vectors.
[tex]\|\vec u\|[/tex], [tex]\|\vec v\|[/tex] - Norms of each vector.
Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.
If we know that [tex]\vec u = \langle 6,-3,1 \rangle[/tex] and [tex]\vec v = \langle 8, 9,-11 \rangle[/tex], then the angle between the two vectors is:
[tex]\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right][/tex]
[tex]\theta \approx 84.813^{\circ}[/tex]
The angle between the two vectors is 84.813°.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
12.57
Step-by-step explanation:
find the distance of line segment AB between the points at (8,0) and (5,9)
Answer:
Approximately 3.605 units
Step-by-step explanation:
AB= B -A = [tex]\left[\begin{array}{ccc}5\\9\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}8\\0\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3\\9\end{array}\right][/tex]
|AB| = √x²+y² = √(-3)²+2² = √9+4 =√13 = 3.605 units
hii please help asap ill give brainliest thanks
Answer:nirvana
Step-by-step explanation:
A train leaves Richmond at 8:50AM and arrives at Washington DC at 11:35AM. How long does the trip take?
Answer:
2 hours 45 minutes.
Step-by-step explanation:
9 :00 - 8:50 = 10 minutes.
11:35 - 9.00 = 2 hours 35 minutes.
So length of the trip = 2 hours 45 minutes.
Answer:
Solution given:
the trip take =11:35-8:50=2 hours 45 minutes.
HELPPPP PLEASE !!! I will give brainliest!!! THANK YOU
The parabola y = x2 is reflected across the x-axis and then scaled vertically by a factor of 5.
What is the equation of the new parabola?
y =
THANK YOu!!!!!
Answer:
Step-by-step explanation:
something like this Gigi,
y = -5([tex]x^{2}[/tex])
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *
4 Wrong Answers
[tex]Correct = 11*4=44[/tex]
[tex]Incorrect = Correct - 40 = 4[/tex]
answer for brainliest and 10 points
Answer:
It is rational because 121 is a perfect square.
4
a) There are 360 students in a school and 120 of them are girls.
(i) Find the ratio of the girls and the total number of students.
(ii) Find the ratio of the boys and the total number of students.
(iii) Find the ratio of the girls and boys.
b) An alloy contains 120 g of copper and 150 g of zinc.
(i) Find the ratio of copper and zinc in the alloy.
(ii) Find the ratio of copper and the total weight of alloy.
(iii) Find the ratio of zinc and the total weight of alloy.
:) A ratio is equal to 3 : 8. If the antecedent is 21, find the consequent.
) The consequent of a ratio is 36. If the ratio is 4 : 9, find its antecedent.
) The ratio of two numbers is 7:2. If the greater number is 28, find the smalle
one.
Answer:
happy to help.........................................
(X-3)(2x^2+3x-4) please solve
Answer: Simplify your answer will be 2x^2 X + 3xX - 6x^2 - 4X _ 9x + 12
Step-by-step explanation: Multiply each term in the first expression by each term in the second expression and combine like terms.
Answer:
2x³ - 3x² - 13x + 12
Step-by-step explanation:
If you're looking for the simplified answer there it is! If you need help evaluating I'd love to help!
URGENT! 50 POINTS
Visualization:
Suppose you revolve the plane region completely
about the given line to sweep out a solid of revolution. Describe
the solid and find its surface area in terms of π.
Question: the line x = 4
Answer:
Cylinder56πStep-by-step explanation:
This will result in cylinder with radius of 4 and height of 3.
Total surface area:
S = 2πr² + 2πrh = 2π(4² + 4*3) = 2π*28 = 56πcan someone please help me with 7 and 8...thank you <3
Answer:
7. <B = 129°8. <N = 85°Step-by-step explanation:
7. <A + <B = 180° [Since Co-interior angles]
=> 51° + <B = 180°
=> <B = 180° - 51°
=> <B = 129° (Ans)
8. <M + <N = 180° [Since Co-interior angles]
=> 95° + <N = 180°
=> <N = 180° - 95°
=> <N = 85° (Ans)
pleasee helpp, thank you!!
Answer:
- 1/4
Step-by-step explanation:
i HOPE it helps!!!:)))
Explain why triangle ABC is similar to triangle CFE
Answer:
It's exactly the same, except the size
Step-by-step explanation:
Answer:
They are similar because if you look at the length of 2 of the sides that you know
Triangle ABC has side length 1 and 2 or 1:2
CFE has sides length 2 and 4 or 2:4 and 2:4 can also be written as [tex]\frac{2}{4}[/tex] which is a fraction, and fractions can be simplified to 1:2.
So they are similar but just one is bigger then the other.
Which of the equations below shows the relationship in the table?
Answer:
Im Sure its A
Step-by-step explanation:
Help PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZz
Answer:
I think it is the orange or the pink.
Step-by-step explanation:
The difference between two whole numbers is 99. The ratio of the two numbers is 2:5. What are the numbers?
Let the two whole numbers be 2x and 5x
The difference between 2x and 5x is 99. So,
5x-2x=99
3x=99
x=99/3
x=33
Therefore the two numbers are
5x=5*33=165
2x=2*33=66
Answer:
28:71
Step-by-step explanation:
99/7=14.14285714 (make sure to keep that in the calculator) that equals 1 part.
Therefore,
2×14.14...=28 (round up to nearest whole number)
5×14.14..=71 (round up to nearest whole number)
Dans un magasin de sport, une paire de chaussures coûte 69,30 €, après une remise de 30 %. Quel était le prix initial (avant la remise) de cette paire de chaussures ?
Answer:
€99
Step-by-step explanation:
The computation of the original price (before the rebate) of this pair of shoes is shown below:
Given that
The cost of pair of shoes is € 69.30 i.e. after 30% discount
So, the original price would be
= € 69.30 × 100 ÷ 0.70
= €99
The € 69.30 shows the 70% value according to this we determine 100% value
A random number generator is used to select a number from 1 to 50 (inclusively). What is the probability of selecting the number 28?
(Type an integer or a decimal. Do not round.)
Answer:
the answer is 1/50
Step-by-step explanation:
A random number generator is used to select an integer from 1 to 50. Since random number generator generates any number randomly, all the numbers from 1 to 50
330 sixth graders were asked what their favorite sport is. If 20% said baseball how many students said baseball was their favorite sport
Answer:
66
Step-by-step explanation:
330/1000 by 20(...)=66
Helppppppppp mmmmmmmeeeeeeeeeee
Answer:
56.25 π cm^2
Step-by-step explanation:
The circumference of a circle is given by C = 2 π r
15 π = 2 π r
Divide each side by π
15 = 2r
Divide by 2
15/2 = 2r/2
7.5 = r
We want to find tha area
A = π r^2
A = π (7.5)^2
A = π 56.25
A = 56.25 π
In July 2008, a forest fire near the Park Yosemite National burned about 53 miles squares of forest. If a square mile equals 640 acres, about how many acres of forest were burned?
Answer:
33,920 acres of forest were burned.
Step-by-step explanation:
In this case, since you know that a square mile is equal to 640 acres, you can use a rule of three to find the acres that are equivalent to 53 square miles:
1 square mile → 640 acres
53 square miles → x
x=(53*640)/1
x=33,920 acres
According to this, the answer is that 33,920 acres of forest were burned.