Answer:
(-11, 3)
Step-by-step explanation:
When you move -8 to the left its on the x-axis and it's on the negative side. Moving it to the left would mean the number is lower than -8. Moving it to the left 3 units would mean its -11. When you move -1 up 4 units it's on the y axis on the negative side in the beginning. Moving it up would mean the number is higher than -1. Moving -1 up 4 units would mean its 3.
A translation moves a point a constant distance in a given direction. Given the point (-8,-1), if it is translated left 3 units and up 4 units, the new point, or image point, is (-11,3).
Explanation:In mathematics, a translation refers to a geometric transformation that moves every point a constant distance in a specific direction. In this instance, the point (-8,-1) is being moved left 3 units and up 4 units. To implement this translation, you subtract 3 from the x-coordinate and add 4 to the y-coordinate.
So, start with the original point (-8,-1). Subtract 3 from the x-coordinate which gives you -8 - 3 = -11. Then, add 4 to the y-coordinate which gives you -1 + 4 = 3. After the translation, your new point, or image point, is (-11,3).
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what is product of the complex numbers 3 - 4i and -6 + i, where i =
Option C:
The product of 3 - 4i and -6 + i is -14 + 27i.
Solution:
Given complex numbers are 3 - 4i and -6 + i.
To find the product of these numbers.
Product of 3 - 4i and -6 + i
[tex]=(3 - 4i)(-6 + i)[/tex]
Multiply each term of first number with each term of second number.
[tex]=3 (-6 + i)-4i(-6+i)[/tex]
[tex]=3 (-6) + 3i -4i (-6)-4i^2[/tex]
Since the value of i² = -1
[tex]=-18+ 3i +24i-4(-1)[/tex]
[tex]=-18+27i+4[/tex]
[tex]=-14+27i[/tex]
The product of 3 - 4i and -6 + i is -14 + 27i.
Option C is the correct answer.
Here we just want to find the product of two complex numbers, we will see that the solution is -14 + 27i
Remember that the complex number i has the property:
i^2 = -1
Now we want to perform the multiplication between 3 - 4i and -6 + i
Then we have:
(3 - 4i)*(-6 + i) = -18 + 3i + (4i)*6 - (4i)*i = -18 + 27i + 4 = -14 + 27i
So the correct option is C.
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Expand and simplify (5x+2)(2x-3)
Answer:
10x^2 - 11x - 6
Step-by-step explanation:
(5x+2)(2x-3)
= 10x^2 - 15x + 4x - 6
= 10x^2 - 11x - 6
Answer:
(5x+2)(2x-3)=5x(2x-3)+2(2x-3)=5x*2x-5x*3+2*2x-2*3=10x^2-15x+4x-6=
10x^2-11x-6
Step-by-step explanation:
A cookie company uses 1/6 of a foot of cookie dough to make a cookie. How many feet of cookie dough is needed to make 15 cookies?
Answer:
2 3/6 feet of cookie dough
Step-by-step explanation:
Final answer:
To make 15 cookies, 2.5 feet of cookie dough is needed.
Explanation:
To find how many feet of cookie dough is needed to make 15 cookies, we can set up a proportion using the given information. The ratio 1/6 represents the amount of cookie dough needed to make 1 cookie. We can set up the proportion:
1/6 = x/15
To solve for x, we can cross multiply:
15 * 1 = 6 * x
Simplifying the equation gives:
15 = 6x
To isolate x, we can divide both sides of the equation by 6:
x = 15/6 = 2.5 feet of cookie dough
Therefore, 2.5 feet of cookie dough is needed to make 15 cookies.
The school choir is getting ready for their spring concert. There are 48 members in the choir and each member expects to have 10 people in the audience, how many rows of chairs will need to be set up if each row has 30 in it
Answer: 16 Rows
Step-by-step explanation: 48*10= 480, meaning there is 480 people that will be attending. If each row has 30 chairs you divide 480/30 which equals 16. If you multiply 16 times 30 you will get 480 (to check your answer)
Answer:
16 rows
Step-by-step explanation:
There are 48 members in the choir .
Each member expects to have 10 people in the audience.
That’s
48 x 10 = 480 people
There will be 480 people in the audience.
If each row has 30 chairs in it
Number of rows to accommodate 480 people will be 480 divided by the number of seats in one row
That’s
= 480/30
= 16 rows
16 rows of chair will need to be set up
Suvita spent 25% of her pocket money on her clothes ,11% on her shoes and saved Rs. 1600 . What is her pocket money?
Answer:
Rs. 4,444
Step-by-step explanation:
Let her pocket money be represented as A
She spent 25% of A on her clothes and 11% on shoes and then saved Rs. 1600
Total percentage spent = 25 + 11 = 36%
So, she spent 36% of A and was left with Rs. 1600
This can be represented by the equation below
36% of A = 1600
36/100 x A = 1600
0.36 x A = 1600
Divide both sides by 0.36
0.36/0.36 A = 1600/0.36
A = 4444.44
A = Rs. 4,444
Her pocket money was approximately Rs. 4,444
Suvita's total pocket money is calculated by representing her total pocket money as variable x, relating it to the known percentages and the saved amount, and solving for x, which is found to be Rs. 2500.
Explanation:Suvita spent a certain percentage of her pocket money on clothes and shoes, and saved a specific amount. Given that she spent 25% on clothes, 11% on shoes, and saved Rs. 1600, we want to find her total pocket money. To do this, we can represent the total pocket money as x. The amount spent on clothes is 0.25x, and on shoes is 0.11x. The saved amount is known, which is Rs. 1600.
We know that the total pocket money is the sum of money spent on clothes, shoes, and savings. Therefore, x = 0.25x + 0.11x + 1600. Simplifying, we combine like terms to find the total percentage spent: 0.25 + 0.11 = 0.36. So, x = 0.36x + 1600. Subtract 0.36x from both sides to get 0.64x = 1600. To find x, we divide both sides by 0.64, which gives us x = 1600 / 0.64.
After calculating the division, we discover that Suvita's total pocket money is Rs. 2500. Therefore, she had Rs. 2500, out of which she spent 25% on clothes, 11% on shoes, and saved Rs. 1600.
Is the following relation a function? {(3, −2), (1, 2), (−1, −4), (−1, 2)} Yes No
Answer:
The ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.
Step-by-step explanation:
Considering the relation
{(3, −2), (1, 2), (−1, −4), (−1, 2)}
No! the following relation is not a function.
Here is the reason:
Check the table
x y occurrence of x
3 -2 1
1 2 1
-1 -4 1
-1 2 2
From the above table, it is clear that the value of input x is occurring more than once (twice here), so the set of ordered pairs is not a function.
Because a set of ordered pairs will be a function only if the ordered pairs do not have the same first coordinate with different second coordinates.
But the ordered pairs (-1, -4) an (-1, 2) have the same first coordinate i.e. -1 is occurring twice. Therefore, the given relation is not a function.
Answer:
no i have this on flvs who else does
Step-by-step explanation:
peter packed 32 pints of pickles in a minute.Find peters pickle packing rate in ounces per minute
Answer:
2 per minute
Step-by-step explanation:
Peter's pickle packing rate in ounces per minute is found by converting pints to ounces. By multiplying the 32 pints he packs in a minute by 16 ounces per pint, it is determined that Peter packs 512 ounces of pickles per minute.
Peter's pickle packing rate needs to be converted from pints to ounces to find how much he packs in ounces per minute. Since there are 16 ounces in a pint, we can find Peter's rate in ounces by multiplying the number of pints by 16.
Here are the calculation steps:
Identify the number of pints Peter packs in a minute, which is 32 pints.
Multiply the number of pints by the number of ounces in a pint. Since there are 16 ounces in a pint, the calculation is 32 pints * 16 ounces/pint.
Calculate the total to find Peter packs 512 ounces of pickles in a minute.
Therefore, Peter packs 512 ounces of pickles per minute.
A dolphin is observed to leap 10 feet above the water and dive to a depth of 50 feet below the water's surface. What vertical distance is travelled from the highest point to the lowest point
Answer: 60 feet
Step-by-step explanation:
50+10=60
(-7 -3) (-3, 5) write an equation of a line that passes through each pair of points
Answer:
y = 2x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 7, - 3) and (x₂, y₂ ) = (- 3, 5)
m = [tex]\frac{5+3}{-3+7}[/tex] = [tex]\frac{8}{4}[/tex] = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (- 3, 5 ), then
5 = - 6 + c ⇒ c = 5 + 6 = 11
y = 2x + 11 ← equation of line
To write an equation of a line that passes through two points, use the slope-intercept form. Find the slope using the formula and substitute the values into the equation.
Explanation:To write an equation of a line that passes through two points, we can use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Given the points (-7, -3) and (-3, 5), we can find the slope by using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get m = (5 - (-3)) / (-3 - (-7)) = 8 / 4 = 2.
Now that we have the slope, we can choose either point and substitute the values into the equation. Let's use the first point (-7, -3): -3 = 2(-7) + b. Solving for b, we get b = -3 - 2(-7) = -3 + 14 = 11.
Therefore, the equation of the line that passes through the points (-7, -3) and (-3, 5) is y = 2x + 11.
Kerion has a beaded necklace business. She can make 15 necklaces in 2 hours how long will it take her to make 45?
6 hours
Hope this helped
Answer:
6 hours
Step-by-step explanation:
She can make 15 necklaces in 2 hours. Which means, in another 2 hours, she's going to make another 15 necklaces. So in 2+2 hours, she would be making 15+15 necklaces.
That is, in 4 hours, she would be making 30 necklaces.
And in another 2 hours, another 15 necklaces would be made.
In 4+2 hours, she would have made a total of 30+15 necklaces. Which means, in 6 hours, she would make 45 necklaces.
Another way to get this is:
If she makes 15 necklaces in 2 hours.
Then 45/15 gives 3.
Multiply the 3 to 2 gives 6 hours.
O is the midpoint of segment IU. If I is (-7, 2) and O is (5, -8), what are the coordinates of U?
The coordinates of U, the endpoint of the segment, can be found by using the midpoint formula. The x-coordinate of U is (-7 + 5) / 2 = -1, and the y-coordinate is (2 + (-8)) / 2 = -3. Thus, the coordinates of U are (-1, -3).
Explanation:The coordinates of the midpoint O are given as (5, -8). To find the coordinates of the endpoint U, we can use the midpoint formula. The x-coordinate of the midpoint can be found by taking the average of the x-coordinates of the endpoints, and the y-coordinate can be found by taking the average of the y-coordinates. So, the x-coordinate of U is (-7 + 5) / 2 = -1, and the y-coordinate is (2 + (-8)) / 2 = -3. Therefore, the coordinates of U are (-1, -3).
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if y=5x-7, determine the value of y when x=-3
Answer:-22
Step-by-step explanation:
5 times -3 equals -15, and the combine it with -7 to get -22
Answer:
y = -22
Step-by-step explanation:
y=5x-7
Let x=-3 and substitute it into the equation
y = 5(-3) -7
Multiply
y = -15-7
y = -22
a parabolic dome is 2002 feet in diameter with a maximum height of 50 feet. Find the equation of the cross-sectional parabola of the dome
Answer:
Step-by-step explanation:
"The equation of the cross-sectional parabola of the dome is [tex]\( y = -\frac{1}{800}x^2 + 50 \).[/tex]
To find the equation of the cross-sectional parabola of the dome, we can use the standard form of a parabola, which is[tex]\( y = ax^2 + bx + c \).[/tex]Since the parabola is symmetric and the vertex is at the origin (0,50), the equation simplifies to [tex]\( y = ax^2 + c \),[/tex]where determines the width of the parabola and \is the maximum height of the dome.
Given that the maximum height of the dome is 50 feet, we have[tex]\( c = 50 \)[/tex]. The diameter of the dome is 2002 feet, so the radius is half of that, which is 1001 feet. The radius corresponds to the x-coordinate at the base of the dome where the height \ is 0.
Using the point (1001, 0) and the vertex (0, 50), we can set up the equation [tex]\( 0 = a(1001)^2 + 50 \).[/tex] Solving for [tex]\( a \)[/tex]gives us:
[tex]\[ 0 = a(1001)^2 + 50 \] \[ -50 = a(1001)^2 \] \[ a = -\frac{50}{(1001)^2} \] \[ a = -\frac{50}{1002001} \] \[ a \approx -\frac{1}{20040} \][/tex]
For simplicity, we can round [tex]\( a \) to \( -\frac{1}{2000} \)[/tex]or even more simply to [tex]\( -\frac{1}{800} \)[/tex] to make the calculations easier without significantly changing the shape of the parabola for practical purposes.
Thus, the equation of the cross-sectional parabola of the dome is:
[tex]\[ y = -\frac{1}{800}x^2 + 50 \]"[/tex]
Charles has a rectangular flower garden that is 5yd long and 12yd wide. One bag of fertilizer can comer 6 squares yard. How many bags will he need to buy to cover the entire garden?
10 bags of fertilizer
order the numbers from least to greatest 7/8 1/2 3/8 3/4
Answer:
3/8, 1/2, 3/4, 7/8
Step-by-step explanation:
If you turn them into decimals it makes it clearer if not
To order the fractions (7/8, 1/2, 3/8, and 3/4) from least to greatest, they are first expressed with a common denominator and then arranged accordingly, resulting in the order being 3/8, 1/2, 3/4, and 7/8.
The question involves ordering the fractions 7/8, 1/2, 3/8, and 3/4 from least to greatest. To compare these fractions easily, they should be converted to have a common denominator. The least common denominator for 8, 2, and 4 is 8. Thus, the fractions become 7/8, 4/8 (1/2), 3/8, and 6/8 (3/4).
3/8
4/8 (1/2)
6/8 (3/4)
7/8
Therefore, the numbers ordered from least to greatest are 3/8, 1/2, 3/4, and 7/8.
factor the gcf: 6x^4y^3*21x^y^2-9x^2y
Answer:
GCF is [tex]9x^2y[/tex]
Step-by-step explanation:
When the GCF or the greatest common factor of the expression is required to be found, then take the common terms, and write the expression in the factor form first.
Now, here we have to find the factor of the expression:
[tex]6x^4y^3\cdot 21x^2y^2-9x^2y\\[/tex]
which can be re-written as:
[tex]6x^4y^3\cdot 21x^2y^2-9x^2y\\=126x^6y^5-9x^2y[/tex]
Now, this is further written as:
[tex]126x^6y^5-9x^2y\\=14\cdot \:9x^2x^4yy^4-9x^2y\\[/tex]
Here taking the term [tex]9x^2y[/tex] common, we will get:
[tex]14\cdot \:9x^2x^4yy^4-9x^2y\\=9x^2y\left(14x^4y^4-1\right)\\[/tex]
So we have the expression:
[tex]6x^4y^3\cdot 21x^2y^2-9x^2y= 9x^2y\left(14x^4y^4-1\right)\\[/tex]
So the GCF or the greatest common factor is
[tex]9x^2y[/tex]
HELP 12 pts!
thank you in advanced
ΔABC is similar to ΔMNO. Solve for the value of the missing side.
a. x = 0.384 cm
b. x = 0.48 cm
c. x = 2.4 cm
d. x = 3.75 cm
Nate worked for 28 hours last week. This is 40% of the total hours
he worked this month. How much did he work this month?
Answer:70
Step-by-step explanation:since 28b is 40% of 28,divide 100 by 48 because 100 is the whole and you need to find how to get the whole,100 divide by 48 is 2.083 then you multiply it to 28 to get 70.
Answer:
70
Step-by-step explanation:
hope its helpful....
20. There were 16 teams at a gymnastics
meet. Each team had 12 members. How
many gymnasts participated in the meet?
Answer:
192 gymnasts
Step-by-step explanation:
16*12=192
Answer:
12 x 16 = 192 gymnasts
James drove 6 miles south and then 3 miles west.how far is he from his starting point
Answer:
9 miles
Step-by-step explanation:
A 6+3 is nine
Describe and correct the error.
x + 4 > 13
Answer:
x=10
Step-by-step explanation:
13-4=9
For it to be bigger than 13, it has to be one more than 9 which is 10.
Solve the following equation.
66 = 6n
Perform the indicated operation and write the result in the form a + bi.
4i(-i + 3) - 3(6 - 2i)
Answer:
- 14 + 18i
Step-by-step explanation:
Note that i² = ([tex]\sqrt{-1}[/tex] )² = - 1
Given
4i(- i + 3) - 3(6 - 21) ← distribute both parenthesis
= - 4i² + 12i - 18 + 6i
= - 4(- 1) - 18 + 18i
= 4 - 18 + 18i
= - 14 + 18i
The indicated operation of 4i(-i + 3) - 3(6 - 2i) in the form a + bi is -14 + 18i.
To perform the indicated operation and write the result in the form a + bi, we have to distribute and combine like terms carefully.
Starting with 4i(-i + 3), we distribute 4i:
4i * (-i) = -4i^2 = 4 (since i^2 = -1)
4i * 3 = 12i
This gives us 4 + 12i.
Now addressing the second part, -3(6 - 2i), we also distribute:
-3 * 6 = -18
-3 * (-2i) = 6i
This results in -18 + 6i.
Combining both parts (4 + 12i and -18 + 6i):
(4 + 12i) + (-18 + 6i) = (4 - 18) + (12i + 6i)
= -14 + 18i
I NEED HELP ON THIS FAST PLZ
Answer:
d
Step-by-step explanation:
bjkbj
Four consecutive integers just greater than -9
Answer: -8 -7 -6 -5
Step-by-step explanation:
The four consecutive integers just greater than -9 are -8 -7 -6 -5
Answer:
-8, -7, -6, -5
Step-by-step explanation:
write these as a product
a) (2b–5)^2–36
b) 9–(7+3a)^2
c) (4–11m)^2–1
thanks in advance :)
Answer
a)
[tex]{(2b - 5)}^{2} - 36 =( 2b - 11)(2b + 1)[/tex]
b)
[tex]9 - {(7 + 3a)}^{2} = (3a - 4)(3a + 11)[/tex]
c)
[tex]( {4 - 11m)}^{2} - 1 =( 3 - 11m )( 5 - 11m )[/tex]
Explanation
a) The given expresion is
[tex] {(2b - 5)}^{2} - 36[/tex]
We rewrite as difference of two squares
[tex]{(2b - 5)}^{2} - 36 = {(2b - 5)}^{2} - {6}^{2} [/tex]
Recall that:
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
This implies that:
[tex]{(2b - 5)}^{2} - 36 =( {(2b - 5)} -6)(2b - 5 )+ 6)[/tex]
Or
[tex]{(2b - 5)}^{2} - 36 =( 2b - 5-6)(2b - 5 + 6)[/tex]
This simplifies to give:
[tex]{(2b - 5)}^{2} - 36 =( 2b - 11)(2b + 1)[/tex]
b) The second expression is
[tex]9 - {(7 + 3a)}^{2} [/tex]
We rewrite as perfect squares yo get:
[tex]9 - {(7 + 3a)}^{2} = {3}^{2} - {(7 + 3a)}^{2} [/tex]
This gives:
[tex]9 - {(7 + 3a)}^{2} = ({3} - {(7 + 3a)})({3} + {(7 + 3a)})[/tex]
This implies that
[tex]9 - {(7 + 3a)}^{2} = ({3} - 7 + 3a)({3} + 7 + 3a)[/tex]
We simplify to get:
[tex]9 - {(7 + 3a)}^{2} = (3a - 4)(3a + 11)[/tex]
c) The third expression is:
[tex]( {4 - 11m)}^{2} - 1[/tex]
We obtain the difference of two squares as:
[tex]( {4 - 11m)}^{2} - 1 =( ( {4 - 11m)} - 1 )( ( {4 - 11m)} + 1 )[/tex]
We simplify within the parenthesis to get:
[tex]( {4 - 11m)}^{2} - 1 =( 4 - 11m - 1 )( 4 - 11m+ 1 )[/tex]
We simplify further to get;
[tex]( {4 - 11m)}^{2} - 1 =( 3 - 11m )( 5 - 11m )[/tex]
Distributive property Use the distributive property to remove the parentheses .{y+10}12=
Answer:
12y + 120
Step-by-step explanation:
First of, what is the distributive property?
The distributive property is the property that helps distribute numbers under the parenthesis.
For example, lets use {x+1}4. You distribute the 4 towards the x and the one like this:
4(x) + 1(4)
4x + 4
Now, let's go back to your problem
Solution:
{y+10}12
12(y) +12(10)
= 12y + 120
Hope this helps! Make sure to give me the brainliest answer since it would be greatly appreciated! Thank You!
Hara asked 5 more Friends to choose their favorite flavor. 3 friends chose berry and 2 friends chose lime. Do more friends like berry or vanilla now? Explain
Answer:
Step-by-step explanation:they are even
More friends like berry than vanilla now because 3 friends chose berry and there is no mention of any friends choosing vanilla.
To determine whether more friends like berry or vanilla now, let's break down the information provided. Hara asked 5 friends, out of whom 3 chose berry and 2 chose lime. The key here is to note that there is no mention of any friends choosing vanilla. Therefore, based on the new information:
Number of friends who chose berry: 3Number of friends who chose lime: 2Number of friends who chose vanilla: 0Since 3 friends chose berry, and no friends chose vanilla, more friends like berry than vanilla now. This comparison clearly shows that berry is the favorite among the provided options.
write a algebric expression that means six divided by two times a number
i need help
Answer:
number= n
6/2n
i think this is how you do it
Answer:
the correct answer is 6/2*x
The 6-foot man casts a shadow that is 10 feet
long. If the pyramid casts a 48 feet long
shadow, how tall is the pyramid?
Answer:
80 feetStep-by-step explanation:
6:10 ratio
6x8=48 10x8=80