Step-by-step explanation:
1vector AB(3-(-6); 5-7)
vector AB(9;-2)
AB= [tex]\sqrt{9^{2}+(-2)^{2} }[/tex] = [tex]\sqrt{85}[/tex]
2M is the midpoint of AB
we have B(-5;10) and M(1;7)
let A(x;y)
(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7
(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4
so : A(7;4)
3the center of the circle is the midponit of the line joining both ends of the diameter
let A(x;y) be the other end
(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6
(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7
so the coordinates of the other end are (6; -7)
4A,B and C are collinear such as AB=BC so b is the midpoint of AC
(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2
((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17
so x= 17 and y = -2
There were 35,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold, nine times as many paperback copies as hardback copies were sold. If a total of 448,000 copies of the novel were sold in all, how many paperback copies were sold
Answer:
3,717,000
Step-by-step explanation:
The calculation of paperback copies is shown below:-
Let us assume hardback copies is x, so paperback copies will be 9x
now the equation is
35,000 + x + 9x = 448,000
10x = 448,000 - 35,000
10x = 413,000
[tex]= \frac{413,000}{10}[/tex]
= 41,300
Therefore, the paperback copies are
= [tex]9\times 41,300[/tex]
= 3,717,000
Hence, the paperback copies is 3,717,000
Which of the following best describes the data distribution of the histogram
below?
Answer:
negatively skewed
Step-by-step explanation:
because most of the value is on the right side .
The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the cone to the volume of the
prism?
base area = B
base area = B
A
1
volume of cone
volume of prism 2
O B.
volume of cone
volume of prism 3
C.
volume of cone 2
volume of prism 3
OD.
volume of cone
volume of prism
= 1
E.
volume of cone
volume of prism 2
الف لا
Answer:
C.
volume of cone 2
volume of prism 3
OD.
Step-by-step explanation:
Answer:
I just took the test and the correct option is B.
Step-by-step explanation:
help with this I don't know how to solve please
Answer:
The right answer is the first one, 6,245.
Step-by-step explanation:
[tex]EG^2=DG*GF \\ EG^2 = ab\\ EG^2 = 3*13\\ EG^2=39\\ EG=\sqrt{39}[/tex]
[tex]\sqrt{39} = 6,2449... = 6,245[/tex]
Find the length of a leg of a right triangle (in inches) if the other leg measures 9 in. and the hypotenuse measures 19 in. Round to the nearest thousandth. __________________ in
Answer:
a = 16.733
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
a^2 + 9^2 = 19^2
a^2 = 19^2 - 9^2
a^2 = 361-81
a^2 =280
Taking the square root of each side
sqrt(a^2) = sqrt(280)
a = 16.73320053
Rounding to the nearest thousandth
a = 16.733
How does a perpendicular bisector divide a triangle
graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=-x-6
Answer:
hope u get it.......!!
What is HCF and what is the formula for that?
Answer:
HCF means Highest common factor
there's no formula dear....
Simplify completely, help me:(
Answer:
a.
[tex] \frac{3a}{7 {b}^{2} } [/tex]
b.
[tex] \frac{2}{x} [/tex]
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
g9x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answer:
B. 5 + 2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
5 + 6 + 4x = x + 3x + 3
11 + 4x = 4x + 3
4x - 4x = 3 - 11
0 = - 8
There are no solutions.
Answer:
A
4(x+3)+2x=6(x+2)
4x+12+2x=6x+12
6x+12=6x+12
6x-6x=12-12
0=0
terry buys an orange for 43p. He pays with £1 coin how much change does he get?
Answer:
57p
Step-by-step explanation:
so 1 pound is just 1.00 so
1.00-0.43=0.57
so terry will get 57p change
PLEASE HELP.........
The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them?
A. Ix +3I < -5
B. Ix + 8I < 2
C. Ix + 3I < 5
=======================================================
Explanation:
Let's go through each answer choice and solve for x
----------------------------------------------------------------------
Choice A
|x+3| < -5
This has no solutions because |x+3| is never negative. It is either 0 or positive. Therefore, it can never be smaller than -5. So we can rule this out right away.
----------------------------------------------------------------------
Choice B
|x+8| < 2
-2 < x+8 < 2 .... see note below
-2-8 < x+8-8 < 2-8 ... subtract 8 from all sides
-10 < x < -6
We will have a graph where the open circles are at -10 and -6, with shading in between. This does not fit the original description. So we can rule this out too.
----------------------------------------------------------------------
Choice C
|x+3| < 5
-5 < x+3 < 5 .... see note below
-5-3 < x+3-3 < 5-3 .... subtracting 3 from all sides to isolate x
-8 < x < 2
We found our match. This graph has open circles at -8 and 2, with shading in between. The open circles indicate to the reader "do not include this value as a solution".
----------------------------------------------------------------------
note: For choices B and C I used the rule that [tex]|x| < k[/tex] turns into [tex]-k < x < k[/tex] where k is some positive number. For choice A, we have k = -5 which is negative so this formula would not apply.
The area of this parallelogram is 120 ft2 find the value of h
Answer: 6
Step-by-step explanation:
A=bh plus 120 for A and 20 for B
120=20b
/20 divide by 20 each side
H=6
Chloe has a budget of $800 for costumes for the 18 members of her musical theater group. What is the maximum she can spend for each costume?
Answer:
$42.10
Step-by-step explanation:
Assuming that she did not yet buy a costume for herself, 800 dollars divided among 18 people plus herself is equal to $42.10 maximum per person.
Answer:
44.44
Step-by-step explanation:
800 didvided by 18.
A. Translation: (x,y) → (x – 5,y); Reflection across y-axis
B. Translation: (x,y) → (x,y + 5); Reflection across x-axis
C. Translation: (x,y) → (x,y – 5); Reflection across y-axis
D. Translation: (x,y) → (x,y + 5); Reflection across y-axis
Answer:
Option D
Step-by-step explanation:
Let's choose a point A to understand the transformations given in the picture attached,
Coordinates of A → (2, -1)
Coordinates of image A' → (-2, 4)
From these coordinates of A and A' we can calculate the vertical shift of point A = [4 - (-1)] = 5 units
Rule used for the translation,
(x, y) → (x, y + 5)
A(2, -1) → A"(2, 4)
Followed by the reflection across y - axis,
Rule for the reflection of a point across y-axis,
(x, y) → (-x, y)
By this rule, A"(2, 4) → A'(-2, 4)
Therefore, There is a translation of 5 units upwards and reflection across y-axis.
Option D will be the answer.
Factor completely
7a^2+53a+28
Hello! :)
____________ ☆ ☆____________________
Answer:
(7a+4)⋅(a+7)
Step-by-step explanation:
First you have to multiply... 7x28=196
Now find the factors of 196
Factor: 53
Add the first two terms
Add up the four terms and you get your answer
ANSWER: (7a + 4) • (a + 7)
_____________ ☆ ☆___________________
Hope this helps! :)
By BrainlyMember ^-^
Good luck!
A satellite dish has cross-sections shaped like parabolas. The receiver is located 13 inches from the base along the axis of symmetry. If the satellite dish is 26 inches across at the opening, what is its depth in inches? (Round your answer to the nearest tenth if necessary.)
Answer:
Depth = 3.3 inches
Step-by-step explanation:
Given that the shape of the satellite looks like a parabola
The equation of parabola is given as follows
[tex]x^2=4\times a\times y[/tex]
Where
a= 13
Therefore
[tex]x^2=4\times 13\times y[/tex]
[tex]x^2=52\times y[/tex]
Lets take (13 , y) is a
Now by putting the values in the above equation we get
[tex]13^2=52\times y[/tex]
[tex]y=\dfrac{13^2}{52}=3.25[/tex]
y=3.25 in
Therefore the depth of the satellite at the nearest integer will be 3.3 inches.
Depth = 3.3 inches
The oblique pyramid has a square base. What is the volume of the pyramid? 2.5 cm3 5 cm3 6 cm3 7.5 cm3
Take a look at the attachment below. It fills in for the attachment that wasn't provided in the question -
An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -
[tex]\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3[/tex]
And thus, you're solution is 5 cm^3, or in other words option b!
Answer:
The answer is B
Step-by-step explanation:
Which of the following is a solution of x2 + 5x = −2? (2 points) 5 plus or minus the square root of 33 divided by two. 5 plus or minus the square root of 17 divided by two. negative 5 plus or minus the square root of 33 divided by two. negative 5 plus or minus the square root of 17 divided by two.
Answer:
Solutions to the equation are [tex]=\frac{-5+/-\sqrt{17} }{2}[/tex]
which agrees with the last option listed among the possible answers
Step-by-step explanation:
We solve this quadratic equation via the quadratic formula:
[tex]x^2+5x=-2\\x^2+5x+2=0\\ \\x=\frac{-5+/-\sqrt{25-4(1)(2)} }{2\,(1)} \\x=\frac{-5+/-\sqrt{17} }{2}[/tex]
Solve for v. -8(v+7)=3v-23 Simplify your answer as much as possible. v=
Answer:
v = -3
Step-by-step explanation:
-8(v + 7) = 3v - 23
Expand.
-8v - 56 = 3v - 23
Add -3v and 56 on both sides.
-8v - 56 + 56 - 3v = 3v - 23 + 56 - 3v
-8v - 3v = -23 + 56
Combine like terms.
-11v = 33
Divide -11 into both sides.
-11v/-11 = 33/-11
v = -3
Answer:
v=-3
Step-by-step explanation:
-8v-56=3v-23 (brackets expanded)
-56+23=3v+8v (like termz together)
-33=11v (simplified according to maths operation )
-3=v
Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
If yall can help me for Pre-Calc, that would be great.
-Thanks.
If the equation is
[tex]7\sin^2x-14\sin x+2=-5[/tex]
then rewrite the equation as
[tex]7\sin^2x-14\sin x+7=0[/tex]
Divide boths sides by 7:
[tex]\sin^2x-2\sin x+1=0[/tex]
Since [tex]x^2-2x+1=(x-1)^2[/tex], we can factorize this as
[tex](\sin x-1)^2=0[/tex]
Now solve for x :
[tex]\sin x-1=0[/tex]
[tex]\sin x=1[/tex]
[tex]\implies\boxed{x=\dfrac\pi2+2n\pi}[/tex]
where n is any integer.
If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...
Four horizontal forces of magnitudes 1 N, 2 N, 3N and 4N act at a point in the direction whose bearings are 000, 060, 120 and 270 respectively. a Calculate the magnitude of their resultant. b. A 5th horizontal force of magnitude 3 N now acts at the same points so that the resultant of all five forces has a bearing of 090. Find the bearing of the 5th force
Answer:
resultant = 0.356N 202.1°
Step-by-step explanation:
Resultant force = √((x component)² + (y component)²)
X component= 1 cos 90 + 2 cos 30 + 3 cos 30 -4 cos 0
X component = 0 + 1.732 + 2.598 - 4
X component = 0.33
Y component = 1 sin 90 + 2 sin 60 -3sin 60 + 3 sin 0
Y component= 1+1.732-2.598
Y component= 0.134
Resultant = √( (0.33)² +(0.134)²)
Resultant= √(0.1089+0.017956)
Resultant= √ 0.126856
Resultant= 0.3562 N
Tan tita = 0.134/0.33
Tan tita = 0.406
Tita = 22.1°
Tab is positive In the third quadrant and first quadrant but the magnitude of the force lies mainly on the third so resultant = 0.356N 202.1°
For the fifth force.
X component =- 0.356 cos 67.9 +x
X component= -0.134 +x
Y component = 0.356sin22.1 +0
Y component= 0.1334
Tan tita = 0.1334/(-0.134+x)
Tita = tan^-1 0.1334/(-0.134+x)
90 = 0.1334/(-0.134+x)
Tan 90 is undefined so no more solution
A car is traveling on Michigan Street towards Ward Street. The car planes to turn right into Ward Street. what is the angle measure of the turn.
Pls help ASAP
Find an equation of the tangent line to the curve at the given point. y = x , (16, 4) Step 1 To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16, 4), we know that (16, 4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula mtan = lim x→a f(x) − f(a) x − a . In this situation, the function is f(x) = and a =
The question is incomplete. The complete question is:
Find an equation of the tangent line to the curve y = [tex]\sqrt{x}[/tex] at the given point (16,4). To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (16,4) we know that (16,4) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula m tan = lim x↔a f(x) - f(a)/ x - a.
Answer: y = [tex]\frac{x}{8} + 2[/tex]
Step-by-step explanation: The tangent line is a line that intercepts a curve in only one point. The point-slope formula for a line is [tex]y-y_{0} = m(x-x_{0})[/tex], where m is the slope of the line and can be calculated by the first derivative of the given curve. For this case:
y = [tex]\sqrt{x}[/tex]
f'(x) = [tex]\frac{dy}{dx} = \sqrt{x}[/tex]
f'(x) = [tex]\frac{1}{2\sqrt{x} }[/tex]
At point (16,4), the slope will be:
m = f'(16) = [tex]\frac{1}{2.\sqrt{16} }[/tex]
m = [tex]\frac{1}{8}[/tex]
With slope and a point, the line function will be:
[tex]y-y_{0} = m(x-x_{0})[/tex]
y - 4 = [tex]\frac{1}{8}[/tex](x - 16)
y = [tex]\frac{x}{8}[/tex] - 2 + 4
y = [tex]\frac{x}{8}[/tex] + 2
The tangent line to the curve is y = x/8 + 2
. Jayvon bakes two small circular cakes that are 8 inches across their widest point and 3 inches high. He removes the cake from the pans to frost them. Jayvon would like a consistent quarter-inch deep layer of frosting. How many cubic inches of frosting does he need for the cakes if he wants to frost only the top and sides of each cake
Answer:
20π in³ or 62.832 in³
Step-by-step explanation:
The surface area for each cake is given by:
[tex]S=\pi r^2+2\pi rh[/tex]
Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:
[tex]A=2*(\pi r^2+2\pi rh)\\A=2*(\pi 4^2+2\pi*4*3)\\A=80\pi\ in^2[/tex]
If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:
[tex]V=80\pi *0.25\\V=20\pi\ in^3 = 62.832\ in^3[/tex]
He needs 20π in³ or 62.832 in³ of frosting.
pleasssssseeeeeeeeeeeeeeeeeeee
━━━━━━━☆☆━━━━━━━
▹ Answer
0.5 = 1/2 and the rectangle with 3 cubes shaded in
0.6 = 60/100 and circle with three parts shaded in
0.8 = Rectangle with 8 cubes shaded and 4/5
▹ Step-by-Step Explanation
You can convert the fractions into decimals, and count the shaded parts for the shaded images.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The half-life of a certain substance is 5.9 days. How many days will it take for 30g of the substance to decay to 12g?
Answer:
7.8 DAYS
Step-by-step explanation:
The time taken for the substance to reach 12g is 7.8 days
The half-life of a substance is the time taken for it to reach half it's initial value.
I will list some formula and concepts which are of importance to this topic but not necessarily this question.
In solving this problem, we may need the formula to calculate half life of a substance which is given as.
[tex]T_\frac{1}{2}= In2/[/tex]λ
where λ = Disintegration constant.
Disintegration ConstantBut to find this constant, we need to use another formula
[tex]N=N_oe^-yt\\\frac{N}{N_o}= e^-yt\\[/tex]
where the values are
N = Mass of sample at time (t)No = Initial mass of sampleλ = Disintegration constantt = time Time TakenHowever,
[tex]n=\frac{Log_e\frac{No}{N} }{Log_e2}[/tex]
Everything remains the same as above but only a slight change now
n = number of half livesSubstituting the values,
[tex]n = \frac{Log_e(\frac{30}{12}) }{log_e2}\\n = 1.32[/tex]
Since n stands for the half life passed within time (t)
The time taken would be
[tex]t = 1.32 * 5.9\\t =7.8[/tex]
The time taken for the substance to reach 12g is 7.8 days.
Learn more about half-life here;
https://brainly.com/question/2320811
The sum of two numbers is 58. The first number is 8 less than half the second number. Let c represent the first number. Let d represent the second number. Which statements about solving for the two numbers are true? Check all that apply. The equation c + d = 58 represents the sum of the two numbers. The equation c + d = 58 represents the sentence “The first number is 8 less than half the second number.” The equation c = one-half d minus 8 represents the relationship between the two numbers. The equation c = one-half d minus 8 represents the sum of the two numbers. The number d is 14. The number c is 44. The number c is 14. The number d is 44.
Answer: A ,C,G and H are correct statements. Look into the step by step for more understanding.
Step-by-step explanation:
To solve for this problem let's find the actually numbers.
so we know that c + d=58 and also c= 1/2d-8
We have two systems of equations
c+d = 58
c= 1/2d - 8
Solve for c by substitution. Substitute the second equation into the first one.
1/2d -8 + d = 58 Add 8 to both sides
1/2 +d = 66
3/2d =66 Divide both sides by 3/2
d=44 Now we know the d which is the second number is 44 so subtract it from 58 to find the first number.
58 - 44 = 14
we will represent the statements by letters from A going.
A. The equation c + d = 58 represents the sum of the two numbers
B. The equation c+d=58 represents the sentence "The first number is 8 less than half the second number."
C.The equation c= 1/2d -8 represents the relationship between the two numbers.
D. The equation c= 1/2d - 8 represents the sum of the two numbers.
E. The number d is 14.
F. The number c is 44.
G. The number c is 14.
H. The number d is 44.
Now looking at the statements, A ,C,G and H are all correct.
Answer:
A,B,G,H
Step-by-step explanation:
Took test on edge
Kathy wants to buy a camera with an original price of $389. The camera is on sale with a 33% discount. What is the amount of discount?
Answer:
$128.37
Step-by-step explanation:
Find 33% of 389:
389(0.33) = 128.37
The amount of the discount is $128.37
Which equation represents the line passing through points A and C on the graph below? On a coordinate plane, point A is at (2, 3), point B is at (negative 2, 1), point C is at (negative 4, negative 3), and point D is at (4, negative 5). y= negative x minus 1 y = negative x + 1 y = x minus 1 y = x + 1
The equation that represents the line that passes through the points A and C is y = x + 1
What is a linear equation?A linear equation is an equation that has a constant rate or slope, and is represented by a straight line
The points are given as:
(x,y) = (2,3) and (-4,-3)
Calculate the slope, m using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{-3 -3}{-4 - 2}[/tex]
Evaluate
m = 1
The equation is then calculated as:
y = m *(x - x1) + y1
So, we have:
y = 1 * (x - 2) + 3
Evaluate
y = x - 2 + 3
This gives
y = x + 1
Hence, the equation that represents the line that passes through the points A and C is y = x + 1
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ2
Answer:
y = x + 1
Step-by-step explanation:
Edge2020