Answer:
20
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The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?
y = (x + 8)(x + 3)
y = (x + 4)(x + 6)
y = (x + 9)(x + 2)
y = (x + 7)(x + 4)
Answer:
y = (x+8)(x+3)
Step-by-step explanation:
The equivalent expression to the given quadratic equation is:
y = (x + 8)*(x + 3).
Which equation is equivalent to the given one?Here we start with:
[tex]y = x^2 + 11x + 24[/tex]
To solve the problem, we need to find the roots of the quadratic equation, to do it, we will use the Bhaskara's formula:
[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*24} }{2} \\\\x = \frac{-11 \pm 5 }{2}[/tex]
Then the two solutions are:
x = (-11 + 5)/2 = -3x = (-11 - 5)/2 = -8Meaning that we can write the cuadratic equation as:
y = (x + 3)*(x + 8).
So the correct option is the first one.
If you want to learn more about quadratic equations:
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In an arithmetic series, the 6th term is 39 In the same arithmetic series, the 19th term is 7.8 Work out the sum of the first 25 terms of the arithmetic series.
Answer:
1,500
Step-by-step explanation:
a + 5d = 39 (1)
a + 18d = 78 (2)
Subtract (1) from (2) to eliminate a
18d - 5d = 78 - 39
13d = 39
d = 39/13
d = 3
Substitute d = 3 into (1)
a + 5d = 39 (1)
a + 5(3) = 39
a + 15 = 39
a = 39 - 15
a = 24
Sum of the first 25 terms
Sn = n/2[2a + (n – 1)d]
S25 = 25/2{2*24 + (25-1)3}
= 12.5{48 + (24)3}
= 12.5{48 + 72)
= 600 + 900
= 1,500
S25 = 1,500
I need help on this please
Answer:
12√3
Step-by-step explanation:
sin 60° = 18/h
h = 18/sin 60°
h = 12√3
please help (picture)
A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
I need help finding the lentlgth form a to c.
Hi there!
[tex]\large\boxed{AC \approx 483 ft}}[/tex]
AC is the hypotenuse, so we can use a trig formula to solve.
We are given the adjacent side, AB, so we must use cosine. Recall that:
cosθ = A/H
Thus:
cos(21.3) = 450 / H
Rearrange:
H = 450 / cos(21.3)
Use a calculator to evaluate:
H = 482.99 ≈ 483 ft.
Answer:
AC ≈ 483
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos21.3° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{450}{AC}[/tex] ( multiply both sides by AC )
AC × cos21.3° = 450 ( divide both sides by cos21.3° )
AC = [tex]\frac{450}{cos21.3}[/tex] ≈ 483 ( to the nearest whole number )
A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters.
What is the
volume of the cone?
75.62 cubic cm
713.21 cubic cm
237374 cubic cm
2,571.14 cubic cm
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Once you are logged in you need to find an article related to Math to read. If you click the search button and type in Math you will find hundreds of articles to choose from.
The name of the article I chose is ____ and the author is ______.
Please write one paragraph in response to the article. In your paragraph summarize the article and specifically explain the connection it has to math.
Contain at least 4 complete sentences.
Have sentences that start with capital letters and end with punctuation.
Be written in your own words.
Include a specific quote or evidence from the article to show the math connection.
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
Using the graph above, find out how much money miguel saves per month (his unit rate of dollars saved per month).
write your answer. here:____ dollars saved per month
Answer:
15
Step-by-step explanation:
To find the unit rate you divide.
• the points that is in bold is ( 2, 30) from that information you would see what times 2 gives me 30.
• 30/2 =15
• unit rate= 15
An angle has a reference angle of 40° in the third quadrant what is a positive measure of the angle and a negative measure of this angle
Answer:
2, probably
Step-by-step explanation:
help please will give brainliest
Answer:
x=2.86 which rounds up to 3 if u need to round
Step-by-step explanation:
Write True or False for the statement below
A number written in the form a x 10n, where n is an integer and a is greater than or equal to 1 and less than 10, is said to be in scientific notation.
Answer:
true
since: a = 1, or >1 and <10
Which number sentence can be solved using this multiplication fact?
Answer:
The girl bought 5 apples, how many apples does she have after 6 times
(Did you mean to put as the multiplication fact 5x6=30?) sorry if I'm wrong
Step-by-step explanation:
Hope this helps.
Please mark Brainliest!
PLEASSSSSEE!! HELP ME! ^∆^
Applying the 30-60-90 Theorem, Solve this.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
[tex]\sqrt{3}[/tex]/2=12/y(do cross multiplication)
12*2=y[tex]\sqrt{3}[/tex]
24/[tex]\sqrt{3}[/tex]=y
8[tex]\sqrt{3}[/tex]=y
for x
using pythagors theorem
H^2=P^2+B^2
24^2=X^2+(8[tex]\sqrt{3}[/tex] )^2
576=X^2+192
576-192=X^2
384=x^2
[tex]\sqrt{384}[/tex]=x
8[tex]\sqrt{6}[/tex]=x
The cross section of a parabolic sound reflector at the Olympics has a diameter of 20 inches and is 25 inches deep. Write an equation that represents the cross section of the reflector with its vertex at ( ) 0, 0 and its focus to the left of the vertex.
Answer: 69
Step-by-step explanation: Sorry I do not know the answer because I am not smart. I just need the points so I can answer more questions. Have a great day though and I wish you luck with your question:)
Prove that the values of unknown are correct. I need the answer fasttt. a-5 = -8
1) Determine the value written as a fraction , decimal & a percent. fraction decimal percent
Answer:
what value??????
Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?
A 8s+4
B 4s+8
C 4+s+8
D 12s
Answer:
It would be B
Step-by-step explanation:
Which of the following is a graph of x2 < 25?
А
2
3
4
5
5
1
-5
.
3
B.
3
6
2
4
s
5
.2
-4
-3
С
5
E
.5
3
- 1
2
0
D
0
1
.
1
3
5
4
6
5
.
E
1
2
4
6
-6
-4
5
F No Solution
A. Graph A
B. Graph B
Ở Granh
Answer:
why are you running
Step-by-step explanation:
why are you running
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
Answer:
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. 3. A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes.
Step-by-step explanation:
Helppp math help !!!!!!
Step-by-step explanation:
it should be x= -3 and x= 1
I NEED THIS ASAP!!! What is DF?
9514 1404 393
Answer:
11
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent.
DF = EG = EH +HG = 8 +3
DF = 11
Answer:
The diagonals of an isosceles trapezoid are congruent.
DF = EG = EH +HG = 8 +3
DF = 11
Step-by-step explanation:
11
Why are the coordinates of the fountain? Show your work
Answer:did u ever get it
Step-by-step explanation:
How many leaves are 7 inches or longer
Answer:
7in = 4
8in = 3
9in = 1
4 + 3 + 1 = 8
Could someone please help me?
x =
100
120
140
Answer:
x = 140
Step-by-step explanation:
The secants exterior angle theorem states that when two secants (lines that intersect a circle at two points) intersect each other outside of the circle, then the absolute value of the difference divided by (2) equals the angle formed by the intersection of the two secants. One can apply this theorem here by stating the following, call the measure of the unknown arc (y);
[tex]\frac{30-y}{2}=10[/tex]
Solve for (y) with inverse operations:
[tex]\frac{30-y}{2}=10\\\\30-y=20\\\\y = 10[/tex]
When there is a diameter in a circle, the degree measure of the arc surrounding the diameter is (180). One can apply this here by stating the following:
[tex]30 + x + 10 = 180[/tex]
Simplify,
[tex]40 + x = 180[/tex]
Inverse operations,
[tex]40+x=180\\\\x = 140[/tex]
What is the slope of the line that passes through the points (3,5) and (-1,5)?
Answer:
slope=y2-y1/x2-x1
=5-5/-1-3
=0/-4
=0
Step-by-step explanation:
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 5)
m = [tex]\frac{5-5}{-1-3}[/tex] = [tex]\frac{0}{-4}[/tex] = 0
If the unit's and ten's digits of a two digits of a two digit number are y and x, then the number is
Answer:
10x+ y
Step-by-step explanation:
The unit's digit is y and the ten's digit is x.
The ten's digit has a zero placed beside it .
So multiply x by 10 giving 10 x and then add the unit's digit .
This wil give 10x+ y
The number is 10 x + y
This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.
Multiply 10 by 5 and add 6
5*10 +6= 50+6= 56
2) Triangle ABC has three sides that all measure 7 feet. What is the measure of Angle B? 3)
Answer:
60
Step-by-step explanation:
Answer:
60°
Step-by-step explanation:
Am I right?
(No link pls <3)
Answer:
yes, your right!
Step-by-step explanation:
yes you're right and this you done by using Pythagoras theorem!
One side of a square is shown on the coordinate grid. What is the area of this square in square units
Answer:
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i thought of a number my number doubled is 20 greater than 200 what is my number
Answer:
Let the number be x.
x doubled is 2x, and 2x is 20 greater than 200. So, we have this:
2x = 200 + 20
2x = 220
x = 110.
Answer:
The unknown number is 110.
Step-by-step explanation:
Let the unknown number be n.
Then your number, doubled, is 200 + 20 (20 greater than 200), so the pertinent equation is 2n = 200 + 20, or 2n = 220.
Then n = 110.
Check: Is 2(110) = 200 + 20? Is 2(110) = 220? YES