Answer:
The choose B) a=12, b=12
Step-by-step explanation:
sin45= a/12√2 —> a=12
cos 45= b/12√2 —> b=12
I hope I helped you^_^
Enlargements I cannot do can someone help plz
Answers:
The coordinates of the vertices are
(6,2)(8,2)(8,6)(4,6)These coordinates are from the red points shown in the diagram below.
=============================================================
Explanation:
Because the center of dilation is at the origin, we'll multiply each coordinate of each point by the scale factor.
Specifically, we'll double the coordinate values since the scale factor is 2.
A point like (3,1) becomes (6,2)A point like (4,1) becomes (8,2)and so on
The diagram is shown below. The original preimage is in blue while the dilated enlarged image is in red. Your teacher only wants the location of the red corner points.
The price of a sandwich decreases from $6 to $4. What is the percent decrease in the price of the sandwich?
Answer:
33.33%
Step-by-step explanation:
Decrease in price= Original price -- New price
= $6 - $4
= $2
Percentage decrease= $2÷$6 × 100
= 33.33%
If 18 drinks cost £54, how much will 7 drinks cost ?
Step-by-step explanation:
solution :
cost of 18 drinks (is)=52
In a survey of 60 students ,30 drink milk,25 drink curd and 10 students drink as well as curd then.Find the number of students who drink of them.draw a venn-diagram to illustrate the above information.
6(a+2b+3c)=6, left parenthesis, a, plus, 2, b, plus, 3, c, right parenthesis, equals
Show that the points (3,3) ,. (-2,3) are vertices of an isosceles triangle
Answer:
because the points are vertical and an isosceles has vertical sides
Write the interval notation represented by each description below:
1.
The set of all numbers less than negative ten.
2.
The set of all positive real numbers.
3.
The set of all numbers less than 4.242 and greater than 12.566.
4.
The set of all numbers that are greater than 15 and less than 50.
5.
The set of all numbers that are at most 5.
6.
The set of all numbers that are at least 18.
Thank you so much for your help!
Answer:
1. (-∞ , -10]
2. [0, ∞ )
3. [12.566, 4.242]
4. [15, 50]
5. (-∞ , 5]
6. [18, ∞)
Step-by-step explanation:
Answer:
1. The set of all numbers less than negative ten.
(- ∞, -10)2. The set of all positive real numbers.
(0, +∞)3. The set of all numbers less than 4.242 and greater than 12.566.
(-∞, 4.242 )∪ (12.566, +∞)4. The set of all numbers that are greater than 15 and less than 50.
(15, 50)5. The set of all numbers that are at most 5.
(-∞, 5]6. The set of all numbers that are at least 18.
[18, +∞)Help Please NO LINKS OR I WILL REPORT YOU PLEASE GIVE EXPLANATION PLEASE PRETTY PLEASE
Answer:
1.3
Step-by-step explanation:
I guess it's 1.8 - 0.5
I = V/R
make R the Subject formula
Answer:
R = V/I
Step-by-step explanation:
I = V/R
Multiply both sides by r
IR = V
Divide both sides by I
R = V/I
Ex:
2 = 6/3
3 = 6/2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Simplify the complex fraction: 8/9 / -4
Step-by-step explanation:
[tex] \frac{ \frac{8}{9} }{ - 4} \\ \frac{8}{9} \times \frac{1}{ - 4} \\ \frac{8 \times 1}{9 \times - 4} \\ \frac{8}{ - 36} \\ \frac{2}{ - 9} \\ - 0.22[/tex]
Answer:
B. [tex] - \frac{2}{9} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{ \frac{8}{9} }{ - 4} [/tex]
[tex] \frac{8}{9} \div 4 = \frac{8}{9} \times \frac{1}{4} [/tex]
[tex] \frac{8 \times 1}{9 \times 4} = \frac{8}{9 \times 4} [/tex]
[tex] - \frac{2}{9} [/tex] ✅
which of the following numbers falls between 2 and 3 on the number line square root of 8 or square root of 12
9514 1404 393
Answer:
√8
Step-by-step explanation:
8 is between 2² = 4 and 3² = 9. 12 is not.
√8 falls between 2 and 3.
__
Your calculator can help with this.
√8 ≈ 2.828 . . . . . between 2 and 3
√12 ≈ 3.464 . . . . not between 2 and 3 (between 3 and 4)
The unit circle with center at the origin is a relation but not a function. Find the two functions which are lie in one of the semicircle in part a, and determine their domains and ranges?
Answer:
Step-by-step explanation:
All real number
If Marty spent $66 on movie tickets and one ticket costs $8.25 how many tickets did he buy
Answer:
8 tickets
Step-by-step explanation:
To find how many tickets he bought, we can divide.
66 / 8.25 = 8
Best of Luck!
Answer:
8
Step-by-step explanation:
66 divided by 8.25, bringing it to 8.
-2/3-8=14 please help
Answer:
-33
Step-by-step explanation:
this math equation looks relatively simple so i assume the actual equation is -2/3x - 8 = 14
add 8
-2/3x =22
multiply by -3/2
answer is -33
___ minus 14 = 9 times 3
Answer: x=41
Step-by-step explanation:
Let x be the number missing
Given expression
x - 14 = 9 × 3
Simplify by multiplication
x - 14 = 27
Add 14 on both sides
x - 14 + 14 = 27 + 14
[tex]\boxed {x=41}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
[tex]x - 14 = 9 \times 3 \\ x - 14 = 27 \\ x = 27 + 14 \\ x = 41 \\ thank \: you[/tex]
Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .
- 11 - z =?
Answer:
-11 - z
(-11) - (-11)
= 0
I hope I have helped.
expressions equal to 10^3
Answer:
1000
Step-by-step explanation:
10³
= 1000
Answer:
10 * 10 * 10
Step-by-step explanation:
Cubing a number just means you are multiplying that number 3 times to itself. Since we have 10^3, we multiply 10 to itself three times.
Best of Luck!
Solve the equation e2x dy/dx 1 given that y = 5 when x = 0
Answer:
The equation is
[tex]{ \underline{ \sf{y = - 2 {e}^{ - 2x} + 7 }}}[/tex]
Step-by-step explanation:
[tex]{ \sf{ {e}^{2x} \frac{dy}{dx} = 1}} \\ \\ { \sf{dy = {e}^{ - 2x} dx}}[/tex]
integrate:
[tex]{ \sf{ \int dy = \int { - e}^{2x} dx}} \\ { \sf{y = - 2 {e}^{ - 2x} + c}}[/tex]
c is a constant.
when y is 5, x is 0:
[tex]{ \sf{y = { - 2e}^{ - 2x} + c}} \\ { \sf{5 = - 2 {e}^{( - 2 \times 0)} + c }} \\ { \sf{5 = - 2 {e}^{0} + c }} \\ { \sf{5 = ( - 2 \times 1) + c}} \\ { \sf{5 = - 2 + c}} \\ { \sf{c = 7}}[/tex]
therefore, equation:
[tex]y = - 2 {e}^{ - 2x} + 7[/tex]
A rectangular plot 72 metres long and 20 metres wide on a school farm sided into 18 equal plots. What the area of each plot?
Answer:
Step-by-step explanation:
There are many ways this could be done, but the simplest way is to divide 18 into 72. That gives 4. So each plot is 4 * 20 = 80 m^2
If you are willing to use fractions, the answer could be 20*72 / 18 = 8 * 10 which is more feasible and still gives 80, but the land may not permit it. However math will.
It's hard to give an exact answer when it is this open ended.
Find the value of:
7- (1/2)3
Answer:
6.875
Step-by-step explanation:
7- (1/2)^3 = 7-1/8 = 6.875
Customer are charged a late fee of 20% of their bill. This person is a week late on a bill of $200.00 What should we charge for the late fee?
Multiply the amount owed by 20% by changing the percent to a decimal.
20% = 0.20
200 x 0.20 = 40
The late fee is $40
(-1,-6)(-1,-3)(-1,-2)(-4,-2)(-4,1)(-4,4) range
Answer:
range is the y part and domain is the x so the range is the y coordinates
-6,-3,-2,-2,1,4
Step-by-step explanation:
-2/5 + 1/2 plz answer need help
Answer:
solution -2/5+1/2 =-2*2+1*5/5*2 =-4+5/10 =1/10
Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.
Answer:
First mapping is a function because there is no more than one output for each input.Second mapping is not a function because there is more than one output for input B.Third mapping is a function because there is no more than one output for each input.Fourth mapping is a function because there is more than one output for each input.Step-by-step explanation:
A function can be defined as two variables (independent and dependent) which cannot have more than one output for each input.
Step-by-step explanation:
1. the first mapping is a function
2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.
3. the third mapping is a function
4. the fourth mapping is not a function, because B has no relation.
Find the area of this circle
Answer:
153.86 ft^2
Step-by-step explanation:
π=3.14
r=7ft
πr^2=3.14*7*7
=153.86 ft^2
Area of circle = π r²
Here , We have
π = 3.14r = diameter/2r = 14/2 r = 7 ft.Area of circle = 3.14 × (7)²
Area of circle = 3.14 × 49 ft²
Area of circle = 153.86 ft²
The expression 2x³+ ax² + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.
I will give brainliest to correct answer
Answer:
a = 5, b = - 13
Step-by-step explanation:
The Remainder theorem states that the remainder when f(x) is divided by (x - a) is equal to f(a)
Thus the remainder for division by (x + 2) is zero , then by substituting x = - 2 into the expression.
2(- 2)³ + a(- 2)² + b(- 2) - 30 = 0
2(- 8) + 4a - 2b - 30 = 0
- 16 + 4a - 2b - 30 = 0
- 46 + 4a - 2b = 0 ( add 46 to both sides )
4a - 2b = 46 → (1)
----------------------------------------------------
Similarly when f(x) is divided by (cx - a) the remainder is f([tex]\frac{c}{a}[/tex] )
The remainder on dividing by (2x - 1) is - 35, then by substituting x = [tex]\frac{1}{2}[/tex]
2([tex]\frac{1}{2}[/tex] )³ + a([tex]\frac{1}{2}[/tex] )² + [tex]\frac{1}{2}[/tex] b - 30 = - 35
2([tex]\frac{1}{8}[/tex] ) + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b - 30 = - 35 ( add 30 to both sides )
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] a + [tex]\frac{1}{2}[/tex] b = - 5 ( multiply through by 4 to clear the fractions )
1 + a + 2b = - 20 ( subtract 1 from both sides )
a + 2b = - 21 → (2)
Solve (1) and (2) simultaneously )
Add (1) and (2) term by term to eliminate b
5a = 25 ( divide both sides by 5 )
a = 5
Substitute a = 5 into (2)
5 + 2b = - 21 ( subtract 5 from both sides )
2b = - 26 ( divide both sides by 2 )
b = - 13
According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). The value of a and b are 5 and -13, respectively.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
Using the remainder theorem we can write,
f(x) = 2x³+ ax² + bx - 30
f(-2) = 2(-2)³ + a(-2)² + b(-2) - 30 = 0
-16 + 4a - 2b - 30 = 0
4a - 2b = 46 ........ equation 1
f(x) = 2x³+ ax² + bx - 30
f(1/2) = 2(1/2)³ + a(1/2)² + b(1/2) - 30 = -35
(1/4) + a(1/4) + b(1/2) = -35 + 30
(1+a+2b)/4 = -5
1 + a + 2b = -5 × 4
a + 2b = -21 .......... equation 2
Adding the two equations,
4a + 2b + a - 2b = 46 - 21
5a = 25
a = 25/5
a = 5
Substitute the value of a in any one of the equation,
a + 2b = -21
5 + 2b = -21
2b = -21 - 5
2b = -26
b = -26/2
b = -13
Hence, the value of a and b are 5 and -13, respectively.
Learn more about the Remainder Theorem here:
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1.
.? ESSENTIAL QUESTION
How are the
midpoint and length of a segment on the
coordinate plane determined?
Answer:
to find midpoint add both"X" coordinates and divide by 2
also add "Y" coordinates and divide by 2
then for line of segment use distance formula which is D=√[(x2-x1)²+(y2-y1)²]
Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex].
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
To determine the midpoint of two coordinates (x₁,y₁) and (x₂,y₂ )
Midpoint = [ (x₁ + x₂)/2 + (y₁ + y₂)/2 ]
The distance between two points (x₁,y₁) and (x₂,y₂ )
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
Hence "Midpoint is the average of x and y coordinates of the endpoint while the length of a line segment is given by the formula [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]".
For more about line segment,
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Determine all values of the constant k for which the given set of vectors is linearly independent in R4.{(1,1,0,−1), (1,k,1,1),(5,1,k,1), (−1,1,1,k)}
If these vectors are to be linearly independent, then there exists some not-all-zero choice for scalars [tex]c_1,c_2,c_3,c_4[/tex] such that
[tex]c_1(1,1,0,-1) + c_2(1,k,1,1) + c_3(5,1,k,1) + c_4(-1,1,1,k) = (0,0,0,0)[/tex]
We can recast this as a system of linear equations,
[tex]\begin{bmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\\c_4\end{bmatrix} = \begin{bmatrix}0\\0\\0\\0\end{bmatrix}[/tex]
This system has a solution if the coefficient matrix on the left side is not singular. So we attempt to find k such that it *is* singular, i.e. the determinant is zero:
• A cofactor expansion along the first column gives
[tex]\begin{vmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{vmatrix} = \begin{vmatrix}k&1&1\\1&k&1\\1&1&k\end{vmatrix} - \begin{vmatrix}1&5&-1\\1&k&1\\1&1&k\end{vmatrix} + \begin{vmatrix}1&5&-1\\k&1&1\\1&k&1\end{vmatrix}[/tex]
• Cofactor expansions along the first columns of the remaining 3x3 matrices give
[tex]\begin{vmatrix}k&1&1\\1&k&1\\1&1&k\end{vmatrix} = k \begin{vmatrix}k&1\\1&k\end{vmatrix} - \begin{vmatrix}1&1\\1&k\end{vmatrix} + \begin{vmatrix}1&1\\k&1\end{vmatrix} = k^3-3k+2[/tex]
[tex]\begin{vmatrix}1&5&-1\\1&k&1\\1&1&k\end{vmatrix} = \begin{vmatrix}k&1\\1&k\end{vmatrix} - \begin{vmatrix}5&-1\\1&k\end{vmatrix} + \begin{vmatrix}5&-1\\k&1\end{vmatrix} = k^2-4k+3[/tex]
[tex]\begin{vmatrix}1&5&-1\\k&1&1\\1&k&1\end{vmatrix} = \begin{vmatrix}1&1\\k&1\end{vmatrix} - \begin{vmatrix}5&-1\\k&1\end{vmatrix} + \begin{vmatrix}5&-1\\1&1\end{vmatrix} = -k^2 - 6k + 7[/tex]
It follows that
[tex]\begin{vmatrix}1&1&5&-1\\1&k&1&1\\0&1&k&1\\-1&1&1&k\end{vmatrix} = (k^3-3k+2) - (k^2-4k+3) + (-k^2 - 6k + 7) \\\\ \begin{vmatrix}\cdots\end{vmatrix} = k^3 - 2k^2 - 5k + 6 = (k-3)(k-1)(k+2)[/tex]
which makes the coefficient matrix singular if k = 3, k = 1, or k = -2.
Then the four vectors are linearly independent for
[tex]\left\{ k\in\mathbb R \mid k\not\in\{-2,1,3\}\right\}[/tex]
Tickets to a band concert cost 10 dollars each
Answer:
10
Step-by-step explanation:
It 10 bucks each ticket
Write the number in expanded form 68,020
Answer:
hope it is helpful
Step-by-step explanation:
68,020-
6= 60,000
8= 8,000
0=0
2= 20
0=0