Answer:
(- 2, 4 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the original x- coordinate.
A translation of 6 units up means add 6 to the original y- coordinate.
Thus
(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )
The coordinates of the point (3,-2), translated 5 units left and 6
units up are (-2, 4) option (D) (-2, 4) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that:
The point (3,-2), translated 5 units left and 6 units up.
A 5-unit left translation entails taking 5 away from the initial x-coordinate.
A translation of six units upwards entails multiplying the initial y-coordinate by six.
After applying the translation:
(3, -2) → (3- 5, - 2 + 6) → (-2, 4)
Thus, the coordinates of the point (3,-2), translated 5 units left and 6
units up are (-2, 4) option (D) (-2, 4) is correct.
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What expression is equivalent to x2−x−6?
Answer:
[tex] - x + x 2 - 6[/tex]
that's it hope its helpful
Harriet has a square piece of paper she folds it in half to form a rectangle and then folds it in half again the perimeter of the second rectangle is 30cm
Answer:
area of the original square = 144 cm²
Step-by-step explanation:
You didn't include the whole question, but nonetheless this is the answer.
Take care. (:
Answer:
144 cm^2
Step-by-step explanation:
Please HELP!!!!!!!!!!!!!!!!!
Answer:
I think it might be the second one or maybe the first one
Step-by-step explanation:
Im not quite sure so dont blame me if its wrong
15/4 divided by -5/8 equals?
Answer:
-6
Step-by-step explanation:
15/4 ÷ -5/8
Copy dot flip
15/4 * -8/5
Rewrite
15/5 * -8/4
3 * -2
-6
Answer:
-6
Step 1) Do keep change flip if your beginner
After you do that
you get 15/4x-8/5 multiply and simply get -6
A boy carries a 2 kg bag and walks 8m on a level road to his house. How much work has he done by carrying the bag? a. 4 J b. 16 J c. zero
Answer:
160J
Step-by-step explanation:
I think this is the answer
Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction
Answer:
The correct option is (3) 40/9.
Step-by-step explanation:
Consider the right angled triangle attached below.
The angle FDE is the right angle.
Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:
tan (DFE) = DE/DF
= 40/9
Thus, the correct option is (3) 40/9.
Answer:
C. 40/9
Step-by-step explanation:
Find the 8th term of geometric sequence 2,-10,50...
Answer:
- 156250
Step-by-step explanation:
Find the ratio of the geometric sequence.
-10/2 = -5
50/-10 = -5
The common ratio is -5.
Apply the formula.
an = ar^(n-1)
Where a is the first term and r is the ratio.
a8 = 2(-5)^(8-1)
a8 = 2(-5)^7
a8 = 2(-71825)
a8 = -156250
given that £1=$1..62 what is 650 pounds in dollars
1 pound = 1.62 dollars.
Multiply total pounds by 1.62 for total dollars.
650 x 1.62 = $1,053
The population of Happyland is 15.8 Happys per acre exactly 553 Happys live in Happyland how many acres is Happyland enter only a numerical value in the answer blank
Answer:
35 acres
Step-by-step explanation:
We have 15.8 happys per acre and the we have exactly 553 happys living in happy land.
To calculate the number of acres, we just need to divide the number of happys we have by the number by the number of happys per acre
Mathematically, that would be 553/15.8 = 35 acres
Happyland have 35 acres of Land.
Given to us:
Population of Happyland = 553 Happys
Population of Happyland per acre = 15.8 Happys per acre,
Land with Happyland in acres:
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}[/tex]
Putting in the value we get,
[tex]\rm {Land with Happyland in acres =\dfrac{ Total\ number\ of\ Happys}{Population\ of\ Happyland\ per\ acre}}\\\\\rm {Land with Happyland in acres =\dfrac{553}{15.8}}\\\\\rm {Land with Happyland in acres = 35 acres[/tex]
Hence, Happyland have 35 acres of Land.
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∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
Answer:
[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Step-by-step explanation:
Given:
The scale factor = 1.25 and rotated =45°
Length of side =5 units; , 4.2 units; and , 4 units respectively.
As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .
Therefore sides of the ∆ PQR is
[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]
Hence the length of the ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]
Determine graphically whether the ordered pair (0, 2) is a solution of the following system of equations, and check using algebra.
x + 3y= 4
3x+y = -2
Answer: Not a solution of the System
Step-by-step explanation:
Plug in 0 for x and 2 for y for both equations.
Note, if only one of the equations is a true statement
(0.2) is not a solution. If either one of the equation is not true, the ordered pair is not a solution.
0+3(2)=4
3*2=6
0+6=6
6≠4
This was only the first equation but it was not true.
The equation is not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
To determine graphically whether the ordered pair (0, 2) is a solution of the system of equations, we can plot the two equations on a graph. If the point (0, 2) lies on both lines, then it is a solution of the system.
The first equation is x + 3y = 4. To plot this equation, we can first solve for y:
y = -(1/3)x + 4/3
This equation has a slope of -1/3 and a y-intercept of 4/3. So, the line will rise 1 unit for every 3 units it moves to the left. The y-intercept is 4/3, so the line will pass through the point (0, 4/3). Three units to the left of (0, 4/3) is (-3, 7/3), so the line will also pass through this point.
The second equation is 3x + y = -2. To plot this equation, we can first solve for y:
y = -3x - 2
This equation has a slope of -3 and a y-intercept of -2. So, the line will fall 3 units for every 1 unit it moves to the right. The y-intercept is -2, so the line will pass through the point (0, -2). One unit to the right of (0, -2) is (1, -5), so the line will also pass through this point.
We can check this algebraically. Substituting (0, 2) into the first equation, we get:
0 + 3× 2 = 4
6 ≠ 4
This equation is not true, so (0, 2) is not a solution of the first equation. Substituting (0, 2) into the second equation, we get:
3 × 0 + 2 = -2
2 = -2
This equation is also not true, so (0, 2) is not a solution of the second equation. Therefore, (0, 2) is not a solution of the system of equations.
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the diagram shows wxy. which term describes point z?
Answer:
You need to upload a picture of the problem in order to get the answer.
Multiply the polynomial (12x^4 - 4x^3 + 5) by (-4x^2) *
0 -16x^6 + 8x^5 + 9x12
048x^6 - 16x^6 + 20x^2
048x^6 + 16x^5 + 20x^2
0 -48x^6 + 16x^5 - 20x^2
Answer:
[tex] - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
Option D is the correct option.
Solution,
[tex] - 4 {x}^{2} (12 {x}^{4} - 4 {x}^{3} + 5) \\ = - 4 {x}^{2} \times 12 {x}^{4} + 4 {x}^{2} \times 4 {x}^{3} - 4 {x}^{2} \times 5 \\ = - 48 {x}^{6} + 16 {x}^{5} - 20 {x}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Select all of the following that are ordered pairs of the given function.
f(x) = 3 - 2x
(-2,-1)
(-1,5)
(0, 3)
(1, 0)
(2,-1)
Answer:
(-1, 5), (2, -1), (0, 3)
Which equation is represented by the graph below? y=ln x y=ln x+1 y=e^x y=e^x+1
Answer:
y = e^x
Step-by-step explanation:
The fastest way to do this is to use a graphing calc or an online graphing platform and check to see which graph matches the one given.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The graph of the logarithm function approaches the infinity as the value of x approaches zero. So the given graph can not be a logarithm graph.
The graph of the exponential function approaches zero as the value of x approaches negative infinity. And at x = 0, the value of the function is 1.
More about the function link is given below.
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Christine must buy at least $45$ fluid ounces of milk at the store. The store only sells milk in $200$ milliliter bottles. If there are $33.8$ fluid ounces in $1$ liter, then what is the smallest number of bottles that Christine could buy? (You may use a calculator on this problem.)
Answer:
7 bottles
Step-by-step explanation:
Christie needs to buy at least 45 fluid ounces of milk at the store.
33.8 fluid ounces=1 Liter
1 fluid ounce = [tex]\dfrac{1}{33.8}[/tex] Liters
45 fluid ounces = [tex]\dfrac{1}{33.8} \times 45 =1.3313$ Liters[/tex]
Now:
1 Liter =1000 Milliliter
Therefore:
1.3313 Liter= 1000 X 1.3313 Milliliters
1.3313 Liter= 1331.3 Milliliter
Therefore, the smallest number of 200 milliliter bottles Christie must buy is:
[tex]=\dfrac{1331.3}{200}=6.7 \\\approx 7$ bottles[/tex]
Answer:
7
Step-by-step explanation:
(5•5•5) • (5•5•5•5•5•5)
Answer:
1953125
Step-by-step explanation:
Step 1: Simplify
(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]
Step 2: Combine exponents
[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]
Step 3: Evaluate
[tex]5^9[/tex] = 1953125
Answer:
15750
Step-by-step explanation:
First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.
a number between 891 and 909 that is divisible by 10
Answer:
[tex]900[/tex]
Step-by-step explanation:
[tex]892/10=89.2\\893/10=89.3\\894/10=89.4\\895/10=89.5\\896/10=89.6\\897/10=89.7\\898/10=89.8\\899/10=89.9\\900/10=90\\901/10=90.1\\902/10=90.2\\903/10=90.3\\904/10=90.4\\905/10=90.5\\906/10=90.6\\907/10=90.7\\908/10=90.8\\909/10=90.9[/tex]
a^2-b^2+4b-4 please solve it step by step i will mark you brainlest
Answer:
b = a + 2 or b = 2 - a
Step-by-step explanation:
Solve for b:
-4 + a^2 + 4 b - b^2 = 0
The left hand side factors into a product with two terms:
(2 + a - b) (-2 + a + b) = 0
Split into two equations:
2 + a - b = 0 or -2 + a + b = 0
Subtract a + 2 from both sides:
-b = -a - 2 or -2 + a + b = 0
Multiply both sides by -1:
b = a + 2 or -2 + a + b = 0
Subtract a - 2 from both sides:
Answer:
b = a + 2 or b = 2 - a
Jacob is asked to simplify the expression-3a+4b+5a+(-7b) -3a+4b+5a+(-7b) = -3a+5a+4b+(-7b) which property is this ?
Answer:
B
Step-by-step explanation:Communative property.
Triangle ABC has one side equal to 10 inches and one side equal to 7 inches. What could be the area of the triangle? I. 25 square inches II. 35 square inches III. 40 square inches
Answer: 35 square inches
Step-by-step explanation:
Area of triangle = (l * w) / 2
Multiply
10 * 7 = 70
Divide by 2
70 / 2 = 35
Answer:
35 square inches
Step-by-step explanation:
area=base times height divided by one-half
7x10=70
70/2=35
I don’t know how to solve help pls
Answer:
The measure of angle a is 43 degrees.
Step-by-step explanation:
Angle P is congruent to Angle R. A triangle's angles add up to 180 degrees. 47*2=94. 180-94=86 degrees. 86/2=43 degrees.
Answer: 43°
Step-by-step explanation:
The degree of a triangle adds up to 180. We are given an angle of 47 and there is a right angle of 90
We now have 90 + 47 + a = 180
137 + a = 180
a = 43
Alexandra and her children went into a movie theater and will buy bags of popcorn
and drinks. She must buy at most 12 bags of popcorn and drinks altogether. Write an
inequality that would represent the possible values for the number of bags of popcorn
purchased, b, and the number of drinks purchased, d.
Answer:
let number of bags of popcorn = b
let number of drinks = d
at most = maximum
b + d ≤ 12
how do you write 25 x 10^6 in standard form
Answer:
2.5*10^7
Step-by-step explanation:
Answer:
Brainliest!!!
Step-by-step explanation:
See picture
Each term in the sequence below is 9 more than 1/3 the previous term. What is the value of y-x?
81, 36, x, y,...
Plz explain
Answer:
y - x = - 5
Step-by-step explanation:
Applying the rule gives
x = [tex]\frac{1}{3}[/tex] × 36 + 9 = 12 + 9 = 21
y = [tex]\frac{1}{3}[/tex] × 21 + 9 = 7 + 9 = 16
Thus
y - x = 16 - 21 = - 5
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be used to write an expression and then find the number of peanuts that ended up in each bag
Answer:
342/6 = 57
Step-by-step explanation:
Just basic division
Which of the following statements are correct?
Answer:
Triangle DEF is congruent to triangle GHI.
Step-by-step explanation:
There are theorems of congruency. They are SSS, SAS, ASA, and AAS. You can look these up if you are willing to master identifying similarity and congruency in triangles. It is an ideal concept. You can tell based off of marks of eqaulity which triangles are truly congruent. Just remember these theorems dela with angles and sides being eqaul.
(Khan academy is sure to help you master this. They have practice aswell)
Answer:
Option B is correct.....
Austin runs 3.6 km and makes 40 rounds in his circle shaped gym. What is the diameter of gym? (π=3)
3.6 km / 40 rounds = 0.09 km per round.
0.09 km x 1000 m/km = 90 meters
The circumference of the circle is 90 meters
Using 3 as pi as told, divide the circumference by 3 to get the diameter:
Diameter = 90 meters/ 3 = 30 meters
What 7÷56+3 I'm boreeeddxxxxxxxxx
Answer:
The answer is 3.125.
Answer:
It's 3.125
Step-by-step explanation:
Hope this help lol
The fifth-grade classes at Harvest Elementary School had an apple-tasting party. They tasted red, yellow, and green apples. There were 130 apples at the party altogether. There were 3 times as many yellow apples as green apples. There were twice as many red apples as yellow apples. How many red apples were at the party?
Answer:
78 red apples
Step-by-step explanation:
Set up the equations
r + y + g = 130
y = 3g
r = 2y
If r = 2y and y = 3g, then r = 6g
Plug in the two equations, y = 3g, and r = 6g
6g + 3g + g = 130
10g = 130
g = 13
Plug in 13 as g in the equation r = 6g
r = 6(13)
r = 78
There were 78 red apples