Answer:
B) twice v
Step-by-step explanation:
because if there is no any sign between a number and a variable then you know that there is sign of multiplication
The coordinates of three vertices of a parallelogram are (2, 3), (6, 3) and (4, 7). What are the coordinates of the fourth vertex?
The correct option is B)
Let the fourth vertex D =(x,y)
We know that the diagonals of a parallelogram bisect each other. So, the.
What is the midpoint?The midpoint of AC is the same as the midpoint of BD.
Midpoint of two points (x 1 ,y 1 ) and (x 2,y 2) is calculated by the formula ( 2x 1+x 2, 2y 1+y2 )
So, the midpoint of AC= Midpoint of BD
=>( 2−2+8, 23+3)=( 26+x, 27+y
=>( 6, 26)=( 26+x, 27+y)
=>6+x=6;7+y=6
=>x=0;y=−1
Hence, D=(0,−1)
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What is -4 square root of 12 + the square root of 75 in simplest radical form?
1. The maximum value of Sin A and Cos A is:
help I will give you brainliest if you do
A projectile is launched into the air following the equation h(t)=-40t^2+200t, where h(t) is the height of the projectile above the ground in feet, and it is the time, in seconds. How much times elapses, in seconds, from the time the projectile is launched to the time the projectile hits the ground?
a)1
b)4
c)5
d)16
Answer:
Step-by-step explanation:
If the position function is
[tex]h(t)=-40t^2+200t[/tex] and we are looking for time when the height is 0, we sub in a 0 for h(t) and solve for t:
[tex]0=-40t^2+200t[/tex] and the easiest way to do this is to factor by taking the GCF of -40t:
0 = -40t(t - 5) and by the Zero Product Property,
-40t = 0 or t - 5 = 0. Solving for t, we get
t = 0 (which is before the object is launched) and
t = 5 (which is how long it takes the object to go from the ground, up to its max height, and then back to the ground again).
Your choice is c) 5
Write the slope-intercept form of the equation of the line described. Through (-1,-1) parallel to y=6x-2
Answer:
[tex]\boxed {\boxed {\sf y= 6x+5}}[/tex]
Step-by-step explanation:
We are asked to find the slope-intercept equation of a line. Slope-intercept form is one way to write the equation of a line. It is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
We are given a point (-1, -1) and the line is parallel to the line y= 6x-2. Since the line is parallel to the other line, they have the same slope, which is 6. We have a point and a slope, so we should use the point-slope formula to find the equation of the line.
[tex]y-y_1= m (x-x_1)[/tex]
Here, m is the slope and (x₁, y₁) is the point. We know the slope is 6 and the point is (-1, -1). Therefore:
m= 6x₁= -1y₁= -1Substitute the values into the formula.
[tex]y- -1 = 6(x- -1) \\y+1= 6(x+1)[/tex]
Distribute the 6. Multiply each value inside the parentheses by 6.
[tex]y+1 = (6*x)+ (6*1) \\y+1= 6x+6[/tex]
Slope-intercept form requires y to be isolated. 1 is being added to y. The inverse of addition is subtraction. Subtract 1 from both sides.
[tex]y+1-1=6x+6-1 \\y= 6x+5[/tex]
The equation of the line in slope-intercept form is y=6x+5
A cabinet maker used 2.8 gallons of varnish on 8 cabinet doors. At this rate, how many gallons of varnish are required for 60 cabinet doors?
Answer:
21
Step-by-step explanation:
2.8 for 8 means a ratio of
2.8/8
now we need to transform this ratio to show x/60.
for that we need to multiply the numerator and the denominator with the same factor.
which factor ?
well, the one turning 8 into 60.
so,
8×f = 60
f = 60/8 = 15/2 = 7.5
so,
x = 2.8 × 7.5 = 21
he will need 22 gains for 60 doors.
I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???
Answer:
Yes
Step-by-step explanation:
From the origin means from the centre or middle but about a vertex is from a named point.
The sum of a number and 3 is greater than 10
x < 7
x > 7
x < 13
x > 13
Answer:
x > 7
Step-by-step explanation:
Let x be the unknown number
x+3 > 10
Subtract 3 from each side
x+3-3 > 10-3
x > 7
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{\underline{The sum of a number and 3 is greater than 10.}}[/tex]
[tex]\large\textsf{Well, the word sum simply means add. The word number}\\\large\textsf{ is unknown so we will label it as x.}[/tex]
[tex]\large\textsf{We will make this your equation: x + 3 } \mathsf{ > } \large\textsf{ 10}[/tex]
[tex]\large\textsf{Now lets solve for your answer.}\downarrow[/tex]
[tex]\large\textsf{x + 3 }\mathsf{>}\large\textsf{ 10}[/tex]
[tex]\large\textsf{SUBTRACT 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 3 - 3 } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{CANCEL out: 3 - 3 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 10 - 3 because that helps what is being compared to the x-value}[/tex]
[tex]\large\textsf{x } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{10 - 3 = \bf 7}[/tex]
[tex]\large\textsf{\bf x } \mathsf{\bf >\ } \large\textsf{ \bf 7}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: \bf x}>\textsf{\bf 7}\huge\textsf{ (Option B.)}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Determine which quadratic equations have
1 real solution. Select two that apply.
Answer:
second and fourth has real solution.
Step-by-step explanation:
hope this helps.
Someone please help me out!! I’m struggling
Answer:
This is called "completing the square"
It is a technique to solve a quadratic equation. It involves "moving all
of the constants to the right" , then doing a "move" on the left hand side. This move "creates a perfect square".. This is done by taking 1/f of the "B" term and squaring it... this will "un-balance" the sides of the equation... to balance it out you have to "add" some stuff to the right hand side... when done the left side will be "a perfect square" .. last step will be take the square root of both sides.
Step-by-step explanation:
[tex]x^2 + 12x + 15 = 0[/tex]
[tex]x^2 + 12x + 15 -15 = -15[/tex]
[tex]x^2 + 12x = -15[/tex]
[tex]b = 12 ... (1/2 b)^2 = 6^2 = 36[/tex]
[tex]x^2 + 12x + 36 = -15 + 36[/tex]
[tex]x^2 + 12x + 36 = 21[/tex]
[tex](x+ 6)^2 = 21[/tex]
[tex]\sqrt{(x+ 6)^2 } =[/tex] ± [tex]\sqrt{21}[/tex]
[tex]x+ 6[/tex]= ± [tex]\sqrt{21}[/tex]
x = -6 ±[tex]\sqrt{21}[/tex]
Answer:
Step 1: -15
Step 2: b = 12, c = 36
Step 3-4: x² + 12x + 36 = -15 + 36, which simples to (x + 6)² = 21
If there is a step that has you solve for x, it should be -6 + √21 or -6 - √21.
Step-by-step explanation:
Step 1 is pretty simple. All we have to do is subtract 15 from 0 to get the first blank.
x² + 12x = 0 - 15
x² + 12x = -15
Step 2:
b is the coefficient on x, which is 12.
Then, use the formula mentioned:
[tex]c = ( \frac{b}{2})^{2} \\ c = ( \frac{12}{2} )^{2} \\ c ={6}^{2} \\ c = 36[/tex]
As a result of that, c is 36.
Now to substitute and simplify. (Steps 3-4)
x² + 12x + 36 = -15 + 36
To factor an equation, think about it like this: Find two numbers that add to the coefficient of x, and multiply to the constant. So what two numbers add to 12, and multiply to 36? That would be 6 & 6 (6 + 6 = 12; 6 × 6 = 36).
(x + 6)² = -15 + 36
Add 36 to -15 to get 21.
(x + 6)² = 21
That should solve steps 1-4, but I will go on ahead and give the final answer to the entire problem.
(x + 6)² = 21
Yes, you are about see what I just factored be expanded back over again. It's part of the process.
x² + 12x + 36 = 21
Now subtract 21 from both sides.
x² + 12x + 36 - 21 = 21 - 21
x² + 12x + 15 = 0
Now onto the hard part of this: the quadratic formula. a = (the understood) 1, b = 12, and c = 15.
x = (-b ± √b² - 4ac)/2a
x = -12 ± √12² - 4(15)/2
x = -12 ± √144 - 60/2
x = -12 ± ✓84/2
x = -6 + √21 or -6 - √21
What is the value of this variable
9514 1404 393
Answer:
48
Step-by-step explanation:
The measure of the angle where the chords cross is the average of the measures of the intercepted arcs.
(70 +x)/2 = 59
x = 2×59 -70
x = 48
help me friends write in copy
20 pts so don't spam
Answer:
ii
Step-by-step explanation:
from what you've written in the comments I think this question requires you to find the equation that can be expressed in two variables,so the best way to do this is to solve the pairs as simultaneous equations and see the ones that will give you two answers x and y
if you solve the first pair you will have
x + y = 5
2x+2y=10
2(x + y =5)
1(2x+2y=10)
2x+2y=10
2x+2y=10--
now from this you will see that it cannot be expressed as two variables because the answer is just zero..
for the second equation it can be expressed as two variables
x - y = 8
3x-3y =16
3(x-y =8)
1(x-3y=16)
3x-3y=24
x - 3y=16
2x/2=8/2
x=4
x-y=8
4-y=8
-y=8-4
-y/-1=4/-1
y=-4...
so you see it can be expressed as two variables..
if you solve the third one it will also give you an answer which is zero so it can't be expressed as two variables.
and the fourth one also cannot.
I hope this helps and if you don't understand feel free to ask..and sorry if it's wrong
Instructions: Identify the type of sequence and write the recursive rule.
Sequence: −11,−3,5,13,…
Type: Geometric or Arithmetic?
an=an−1 - ?
a1= ?
Answer:
[tex]a_n=a_{n-1}+8,n\geq 1[/tex]
[tex]a_1=-11[/tex]
Step-by-step explanation:
We are given that a sequence
-11,-3,5,13,...
[tex]a=a_1=-11[/tex]
[tex]a_2=-3[/tex]
[tex]a_3=5[/tex]
[tex]a_2-a_1=-3-(-11)=-3+11=8[/tex]
[tex]a_3-a_2=5-(-3)=5+3[/tex]
[tex]a_3-a_2=8[/tex]
Common difference between two consecutive terms is equal.
Hence, the sequence is Arithmetic.
Common difference, d=8
[tex]a_2=a_1+8=-3[/tex]
[tex]a_3=a_2+8=5[/tex]
[tex]a_4=a_3+8=13[/tex]
:
:
:
[tex]a_n=a_{n-1}+8, n\geq 1[/tex]
[tex]a_1=-11[/tex]
what inequalities is represented by this graph?
Answer:
[tex]\sf [0,∞)[/tex] is the inequality.
Step-by-step explanation:
This is the inequality represented by this graph. The main reason is this inequality contains zero to infinity.
Answer:
[tex]\sf{[0,\infty) }[/tex]
Step-by-step explanation:
x>0this inequality contains zero to infinity
What is the nth term of the quadratic sequence
3 11 24 45
9514 1404 393
Answer:
[tex]a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3[/tex]
Step-by-step explanation:
The first differences are 8, 13, 21. The second differences are 5, 8. The second differences are not constant, so this is not a quadratic sequence.
If we assume it is a cubic sequence, a calculator tells us the formula is ...
[tex]a_n=\dfrac{1}{2}n^3-\dfrac{1}{2}n^2+6n-3[/tex]
Solve: -15/2 + 5y divided by 5/2
Answer:
- 3 + 2y
Step-by-step explanation:
[tex]\frac{-\frac{15}{2} +5y}{\frac{5}{2} }[/tex]
[tex]\frac{2}{5}( -\frac{15}{2} +5y} )[/tex]
[tex]-3+2y[/tex]
Step-by-step explanation:
Division by a fraction such as 5/2 is equivalent to multiplication by the reciprocal of the fraction (2/5).
Multiplying (-15/2 + 5y) by 2/5 yields:
-3 + 2y (answer)
Add the first 94 terms of this sequence: 9, 33, 57, 81, 105,
Answer: 105750
Step-by-step explanation:
From the sequence 9, 33, 57, 81, 105, the following can be derived:
a = First term = 9.
d = Common difference = 33 - 9 = 24
n = Number of terms = 94
The sum of the nth term will be:
= n/2[2a + (n – 1)d]
= 94/2 [(2 × 9) + (94 - 1) × 24]
= 47 [18 + (93 × 24)]
= 47[18 + 2232]
= 47 × 2250
= 105750
Therefore, the sum of the 94 terms of the sequence is 105750.
If PQRS is a parallelogram, what is the value of y
S11R13P11
A. 44
B. 60
C. 52
D. 26
E. 48
F. Cannot be determined
HELLPPPPPP
Answer:
C.52
Step-by-step explanation:
In a parallelograms opposite sides are congruent
This means that side SP = side RQ as they are opposites
Hence 1/4y = 13
Note that we've just created an equation that we can use to solve for y.
We now solve for y algebraically using the equation we've just created
1/4y = 13
Divide both sides by 1/4
1/4y / 1/4 = y
13 / 1/4 = 52
We're left with y = 52
If PQRS is a parallelogram, the value of y in the parallelogram PQRS is 52. Therefore, option C, 52, is the correct answer.
To find the value of y in the parallelogram PQRS, we can use the properties of parallelograms.
In a parallelogram, opposite sides are equal in length. Therefore, PQ is equal to RS, and QR is equal to SP.
Given that PQ = 11 and RS = 11, we can conclude that QR = SP.
Substituting the given values, we have:
1/4 y = 13
To isolate y, we multiply both sides of the equation by 4:
4 * (1/4 y) = 4 * 13
This simplifies to:
y = 52
Using the property of a parallelogram where opposite sides are equal, we determine that QR is equal to SP. Substituting the given values, we find that 1/4 y is equal to 13. By multiplying both sides of the equation by 4, we isolate y and find that its value is 52.
Therefore, option C, 52, is the correct answer.
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If R ={(a,1),(b,2)} then which one is the inverse of the relation R?
Answer:
R’ = {(1,a) , (2,b)}
Step-by-step explanation:
For us to get the inverse, we switch the places of the x and y variables
The x variable goes to the place of the y variable and the y variable goes to the place of the x variable
we have this as;
R’ = {(1,a) , (2,b)}
what is 1*24 equals to
1*24= 24....
when any number is multiplied by one it gines the same no. for eg 241526×1=241526..
doesn't matter how greayer or smaller the number is....
photo, giving brainliest
Answer:
Ruby is sphere
Shriya's is incorrect
Abhishek's is correct
Step-by-step explanation:
Ruby's definition matches a sphere because it is 3D and Shriya's is wrong.
please help!! if you’re good at these i have a few more of them can you continue to help me i’m begging !!
Answer:
Step-by-step explanation:
y = 1/2x + 3
pls help simple measurement question
Answer:
<2 = 40
Step-by-step explanation:
Angles 2 and 3 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<2 =<3 = 40
If f(x) = 3x - 2 and g(x) = x2 +1, find (f +g)(x).
A. 2x+3
B. x+3x+1
C. 4X2-1
O D. x2 + 3x - 1
Answer:
D
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 3x - 2 + x² + 1 ← collect like terms
= x² + 3x - 1 → D
The combination function (f+g)(x) is x²+3x-2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=3x-2 and g(x)=x²+1.
Here, (f+g)(x)=f(x)+g(x)
= (3x-2)+x²+1
= x²+3x-2
Therefore, the combination function (f+g)(x) is x²+3x-2.
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Divide Rs 84 in 1:2 ratio
Answer:
Rs . 28 and Rs.56
Step-by-step explanation:
Explaination in figure
Please mark me as brainliest
x + a = 10 . Find the vale of x if a = 10.
Answer:
x = 0
Step-by-step explanation:
a = 10
=> x + a = 10
=> x + 10 = 10
=> x = 10 - 10
=> x = 0
Please help me with this question please help me rn
Answer:
Check the explanation for the answer please. Thank you!
Step-by-step explanation:
a. Nina is correct, because the formula P = 2l + 2w would be a correct perimeter formula. Alexander, however, is wrong, because the formula P = 2(l + w) would be an incorrect perimeter formula.
b. P = L + L + W + W would be another correct perimeter formula, as it is the same thing to P = 2l + 2w.
c. One reason the paint was empty after their calculations were correct would be because of their argument before determining the perimeter amount of paint that they need. Another reason the paint was empty after their calculations were correct was because of the fact that they probably don't know how to perfectly do the paint within the perimeter. [I might be wrong about this, but it should be an opinion question anyway.] DO NOT WRITE/TYPE THE PARENTHESIS INTO THIS PROBLEM!!!
Hope this helped!
Given the slope of y+2=3(x-7) and a point on the line
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 3
(7, -2)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The equation given is in point-slope form.
⸻⸻⸻⸻
[tex]y - y_1 = m(x-x_1)\\\\m-\text{slope}\\\\(x_1,y_1)-\text{point}[/tex]
⸻⸻⸻⸻
The '3' is in the 'm' spot.
The y value is '-2', (y -(-2)) and the 'x' value is 7.
The point of the line is (7, -2) and the slope is 3.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!
Answer:
(x-3)^2+(y-16)^2=9
Step-by-step explanation:
Answer:
The answer is 9
Step-by-step explanation:
(x-3)^2+(y-16)^2=9
Hope this helps :)
the slope of a line is 2. the y-intercept of the line is -6. which statements accurately describe how to graph the function