Answer:
10
Step-by-step explanation:
1) The vector CD is equal to (X-(-14); 13-6)= (x+14; 7)
2) The module of the vector CD is equal to diatance CD=25. It is equal to
sqrt ((x+14)(x+14)+7*7) from the formula of module (with coordinates).
25= sqrt ((x+14)(x+14)+7*7)
625= (x+14)*(x+14)+49
625= x^2+28x+196+49
X^2+28X-380=0
a=1 b=28 c=-380
D= b*b-4ac= 28*28-4*1*(-380)= 784+1520= 2304
sqrt D= sqrt2304=48
x1= (-28-48)/2= -38
x2= (-28+48)/2= 10
But x1<0 it is negative and it is not suitable, x2>0 it is positive, so answer is 10.
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
Find the value of x for which ABCD must be a parallelogram
a. 7
b. 2
c. 1
d. 4
Step-by-step explanation:
x+3=2x-1
x-2x=-1-3
-x=-4
x=4
Which segment is the hypotenuse?
Answer:
SU
Step-by-step explanation:
The hypotenuse is opposite the right angle
The hypotenuse is US or SU
We have to pick,
The segment which is hypotenuse,
Hypotenuse will be the opposite segment of the right angle.
Now it will be,
→ SU (or) US
Hence, SU is the hypotenuse.
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
ASAppppppppppppppppppppppppppppppppppp
Answer:
3/8
Step-by-step explanation:
that is the answer
I solved it using a calculator
please give me brainliest
the answer is 3/8 because im right
Year 10 girls = 70, year 10 boys = 140, what fraction of year 10 are boys?
Answer:
2/3
Step-by-step explanation:
140/(140+70)
=140/210
simplified
=2/3
WILL GIVE BRANLIEST AND BE SOOO HAPPY PLEASE HELP!!! 30 POINTS SHARE YOUR SMARTNESS!!
Step-by-step explanation:
For the 1st picture,
The 2nd option is the answer.
Let say we have
[tex] a_{3}[/tex]
Replace it into the recursive formula.
[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]
We are given a,1 and a,2 so the 3rd terms has to be
[tex]2[/tex]
So the second option is the answer.
For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.
Infinite means going on forever
The fourth option is the answer.
Answer:
1,1,2,3,5
part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...
the "difference" is definitely not the same, so three is out..
4 is the closest, but the ratio is not the same, there is a trend in the ratio..
this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational
Step-by-step explanation:
Assume that abc = pqr. Which of the following congruence statements are correct? Check all that apply
Answer:
A and E are correct congruence statements.
Answer:
A E
Step-by-step explanation:
Question 2
Find HY if YL = 9 .
Answer:
HY = 18
Step-by-step explanation:
The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so
HY = 2 YL = 2 × 9 = 18
write y=4x+3 in mapping notation
Answer:
y=7x
Step-by-step explanation:
because y= 4x+3=7x
I don't think that there is enough info for this problem, but could someone try to help?
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
How does the formula for the sample mean differ from the formula for population mean? Multiple choice question. To calculate the sample mean, you divide by the sample number plus one. The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size). For sample mean, the sum of values is divided by the number of values minus one.
Answer:
The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).
Step-by-step explanation:
The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.
The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :
The mean formula is written thus :
Population mean = Σx / N
Sample mean = Σx / n
Where, x = set of values.
identify each of the following as rational or irrational.
Answer:
Step-by-step explanation:
A rational number can be written as a fraction of two integers.
√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.
104.42 is rational because it can be expressed as 10442/100 . We can express it as this because
104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same
√64 is rational because it is equal to 8, and 8/1 is equal to 8
49.396 with the 6 repeating is rational because we can express 49.39 as
49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with
49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.
For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9
We add the two fractions together to get
4939/100 + 0.06/9
multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer
(4939*9)/(100*9) + (0.06*100)/(9*100)
= 44451/900 + 6/900
= 44460/900
Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it
Arnold makes a chart to summarize what happens when light interacts with matter and is reflected. Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answer:
In diffuse reflection, reflected rays move in different directions.
Step-by-step explanation:
Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.
Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.
During diffuse reflection, light is reflected in different directions.
Answer:
In scattering, long wavelengths are scattered the most.
Step-by-step explanation: took the test for Edg 21
Help!!
I think I got these wrong, so please help!! Thank you!
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
keep the body and soul together .....what figure of speech is contained in the sentence
Answer:
The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.
Estimate the product of 32 and 19 ?
Answer:
608
Step-by-step explanation:
32 x 19
= 32 x ( 10 + 9 )
= 320 + 288
= 608
Evaluate 6 + 3b if b = 7
Step-by-step explanation:
6+3b=6+3(7)=6+21=27
Very easy
<(￣︶￣)><(￣︶￣)><(￣︶￣)><(￣︶￣)>
PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time
the Length , breadth and thickness of a brick are 18 cm 8 cm and 5 cm respectively find its area of the largest face and volume
Step-by-step explanation:
vol: 18* 8* 5 cm³
720 cm³
hope this help
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 8 inches and the radius of the base as 3 inches. Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.) 3.34 minutes 5.02 minutes 13.39 minutes 15.07 minutes
Answer:
B
Step-by-step explanation:
r=3 in
h=8 in
Volume of funnel
[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]
Answer:
5.02 is right
Step-by-step explanation:
i hope this helps
50 Points:
What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5
A. 1,2
B. 0,5/3
C. 2,3
D. -1,1
Answer:
(-2,3)
Step-by-step explanation:
For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1
Now, we can use the internal section formula to get the coordinates of this point
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
where (m,n) = (2,1)
(x1,y1) = (-4,-1)
(x2,y2) = (5,5)
(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)
(x,y) = (-4-2)/3, (-1 + 10)/3
(x,y) = (-2,3)
A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.
Answer:
12 centimeters
Step-by-step explanation:
The side lengths of the triangle are: 26, 28, and 30 centimeters
a = 26 cm, b = 28 cm, c = 30 cm
To find the area, we first must find the semi-perimeter with the following equation:
s = (a+b+c)/2
= (28+26+30)/2
= 42 centimeters
Now, to find the area, we can use Heron's formula:
A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]
[tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]
[tex]\sqrt{42(14)(16)(12)}[/tex]
[tex]\sqrt{112896}[/tex]
336 squared centimeters
Since the area of the parallelogram is equal to the area of our triangle:
Area of Parallelogram = Area of Triangle
base ⋅ height = 336 squared centimeters
28 ⋅ height = 336 squared centimeters
height = 336/28
height = 12 centimeters
Find the value of each variable.
Step-by-step explanation:
180 - 37 = x angles on a straight line
x = 40
180 - 40 = y angles on a straight line
y = 140
180 - 140 = z angles om a straight line
z = 40
Which of the
x
xx-values are solutions to the following inequality?
x
>
111
x>111x, \gt, 111
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
x
=
97
x=97x, equals, 97
(Choice B)
B
x
=
101
x=101x, equals, 101
(Choice C)
C
x
=
119
x=119x, equals, 119
Given:
The inequality is:
[tex]x>111[/tex]
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
[tex]x>111[/tex]
It means all the real numbers greater than 111 are the solutions to the given inequality.
[tex]97<111[/tex], so 97 is not a solution.
[tex]101<111[/tex], so 101 is not a solution.
[tex]119>111[/tex], so 119 is a solution.
Therefore, the correct option is C.
Given:
The inequality is:
To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,
It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
What happens when the weather gets colder?
A.The air pressure will decrease slowly.
B. The air pressure will rise.
C.The air pressure will decrease quickly.
D. The air pressure will not change.
Step-by-step explanation:
B. The air pressure will rise.
hope this helps you
have a nice day
Answer:
B
Step-by-step explanation:
HELP ASAP Simplify the following polynomial expression. The polynomial simplifies to an expression that is a ____ _______ with a degree of ___.
Answer:
The polynomial simplifies to an expression that is a
quadratic trinomial with a degree of 2 .
Step-by-step explanation:
trial and error
Answer:
Have a great rest of your day :)
Step-by-step explanation:
Simplify 3x+2x
BRAINLIEST
Answer:
5x
Step-by-step explanation:
3x+2x
Combine like terms
x(3+2)
x(5)
5x
Answer:
5x
Step-by-step explanation:
3x + 2x
Step 1 :- Calculate like terms by adding their coefficient.
( 2 + 3 ) xStep 2 :- Combine like terms.
( 5 ) xStep 3 :- Multiply ; 5 times x.
5xCarlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Find the height in centimeters of a square pyramid with a volume of 72cm^ 3 and a base edge length equal to the height
Answer:
The height of the pyramid is 6 cm.
Step-by-step explanation:
The volume of a square pyramid is given by:
[tex] V = \frac{1}{3}A_{b}h = 72 cm^{3} [/tex]
Where:
[tex]A_{b}[/tex]: is the area of the base
h: is the height
Since the base edge length is equal to the height, the area of the base is:
[tex]A_{b} = l^{2} = h^{2} [/tex]
Hence, the height is:
[tex] 72 cm^{3} = \frac{1}{3}A_{b}h = \frac{1}{3}h^{2}h [/tex]
[tex] h = (3*72 cm^{3})^{1/3} = 6 cm [/tex]
Therefore, the height of the pyramid is 6 cm.
I hope it helps you!
