The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure.
The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
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-A farmer decides to pack 1,231 mangoes into sacks If a sack contains 25 mangoes, how many sacks can be parked full / Can fully be packed. How many remained?
Find the tangent of angle Θ in the triangle below.
A. 4(sqroot)65/65
B. 9/5
C. 4/9
D. (sqroot)65/4
E. 9/4
Answer: [tex]\frac{\sqrt{65}}{4}[/tex]
Step-by-step explanation:
By the Pythagorean theorem, the unknown side has length
[tex]\sqrt{9^{2}-4^{2}}=\sqrt{65}[/tex]
Therefore,
[tex]\tan \theta=\boxed{\frac{\sqrt{65}}{4}}[/tex]
HELP HELP HELP HELP
HELP HELP HELP HELP
PLSSSSS
Answer:
5 (rounded)
Step-by-step explanation:
by using the Pythagorean theorem you can calculate b
[tex]a^{2} + b^{2} = c^{2}[/tex]
here we have a and c
first lets times it by themselves
16 + b^2 = 36
now lets isolate b^2
b^2 = 36-16
= 20
now we have to get rid of the exponent ^2
b = 4.47....
rounding it would be 5!
Hope that helps :>
PLSS HELPP DUE IN 20 MIN. I NEED SOME STEP BY STEP TOO.
What is the length of GH?
5
10
15
25
Question 3
What is the value of y?
2
4
16
20
Question 4
What is the measure of angle DBE?
20
30
40
6
Question 5
If the measure of angle ABE?
20
30
40
60
Question 6
Which ray is a bisector of angle ABC?
ray BC
ray BD
ray AB
ray BF
The length of GH is 15.
How to calculate the length?GH = IG
GH = 5x - 10
IG = 3x
5x - 10 = 3x
5x - 3x = 10
2x = 10
x = 10/2 = 5
GH = 5x - 10
= 5 * 5 - 10 = 25 - 10
GH = 15
<ABD = < DBC
<ABD = 10y°
<DBC = (8y + 4)°
10y° = (8y + 4)°
10y = 8y + 4
10y - 8y = 4
2y = 4
y = 4/2 = 2
The value of y is 2
<DBE = <DBC + <CBE
<DBC = 10y°
<CBE = <DBC = 10y°
y = 2
<DBC = <CBE = 10y° = 10*2° = 20°
<DBE = 20° + 20° = 40°
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i really need help before tomorrow, but my question is,
what is x⋅(-1)⋅(-x)⋅(1) simplified?
thanks!!
Answer:
[tex] \tt \: x.( - 1).( - x).(1)[/tex]
[tex] \longrightarrow \tt ( - x). (- x)[/tex]
[tex] \longrightarrow \boxed{\tt{x}^{2} }[/tex]
Our final answer : x^2------- HappY LearninG <3 --------------
please help! write the function for the graph:
Answer: y=[tex]\sqrt[3]{x}[/tex]-4
Step-by-step explanation:
Please help!! What is the product of the 2x and...
Answer:
The answer is option c
Answer:
The answer is B.
A cone and a cylinder have the same base and height, as shown below.
A cone is inside of a cylinder with same base and height.
The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The statement that apply is that the volume of the cone is One-third the volume of the cylinder
How to find the volume of a cone and cylinder?volume of a cone = 1 / 3 πr²h
where
r = radiush = height of the coneVolume of a cylinder = πr²h
where
r = radiush = heightThe cone and the cylinder has the same base and height. Therefore, the radius and height are the same .
volume of the cylinder = 84π
Therefore, the volume of the cone is One-third the volume of the cylinder.
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What was the ratio of the number of goggles sold to the number of swimsuits sold?
Answer: Give me the full answer and i will be able to answer it
Step-by-step explanation:
What is this problem
The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
How to find the vertex of a Parabola?The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
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Consider the set of real numbers and the set of complex numbers. Is every real number also a complex number? Is every complex number also a real number? Explain.
You define complex numbers as the reals, i, as usually defined, and their linear combinations using real coefficients, then,
The reals are complex numbers, even if you haven’t fully defined their properties.
If you define complex numbers as the form (a,b) with and a, b are real numbers, then you can say that each real number a is isomorphic with that complex number,
if b=0 once you define their properties.
What is the complex number?A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
Of course, (0,1) will be i. You’ll have to define the multiplication rule, etc.
In actual usage, we gloss over the distinction, and real numbers are complex numbers with no imaginary part.
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Use the graph of the piecewise function to answer the question.
Over which intervals is the function decreasing?
Select all that apply.
x > 6
x ≤ -6
1 < x ≤ 5
-5 < x ≤ 1
5 < x ≤ 6
-6 < x ≤ -5
The decreasing interval of the function are x ≤ -6, 1 < x ≤ 5 and x > 6
How to determine the decreasing interval?From the given graph, the function value decrease at the following x values
Negative infinity to x = -6x = 1 to x = 5x = 6 to x = infinityThis can be properly represented as:
x ≤ -6, 1 < x ≤ 5 and x > 6
Hence, the decreasing interval of the function are x ≤ -6, 1 < x ≤ 5 and x > 6
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Which function is represented by the graph?
The parent absolute value function is translated
3 units and
1 unit.
The function that is graphed is f(x) =
✓.
The function that is graphed is f(x) = |x - 3| + 1
How to determine the graphed function?The parent absolute function is:
f(x) = |x|
From the graph, we have the following transformations:
3 units left1 unit upThis is represented as:
(x, y) = (x - 3, y + 1)
So, we have:
f(x) = |x - 3| + 1
Hence, the function that is graphed is f(x) = |x - 3| + 1
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soybeans have a conversion factor of 36.744 (bu/t). how much do 45 bushels weight. Show your work pls
The weight of 45 bushels of soya beans is 1.2247 Tons
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The conversion factor of soyabeans is 36.744 (bu/t). Hence:
45 bushels = 45 bushels / 36.744 (bu/t) = 1.2247 Tons
The weight of 45 bushels of soya beans is 1.2247 Tons
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What else would need to be congruent to show that triangle ABC is congruent to triangle DEF by ASA?
BC = EF
the side has to lie between the two angles
Which angle is an exterior angle?
k°
i°
g°
Answer:
k
Step-by-step explanation:
Find the equivalent expression of 12.6 − (5.1 + 2.2).
12.6
5.1
5.3
2.2
Answer: 5.3
Step-by-step explanation:
[tex]12.6-(5.1+2.2)\\\\=12.6-7.3\\\\=5.3[/tex]
Aiden and Jacob share a reward of $60 in a ratio of 2:3. what fraction of the total reward does Jacob get?
look at image.........
The verbal description matches option D; Gene earns 2% interest after depositing $150 into his account.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The function given;
f(x) = 0.02 x +150
Gene earns 2% interest after depositing $150 into his account.
Thus, this verbal description matches the function given as it represents, the total account balance Gene.
Hence, Option D is the correct answer.
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Solve x ^ 2 + 13x + 22 = 0using the quadratic formula.
Answer:
x= -2, -11
Step-by-step explanation:
Name an angle supplementary to
Customers can pick blueberries for $1.75 per quart. How much would one dozen quarts of berries cost?
What are the solutions to the system of equations?
y = 2x² + 6x - 10
\ y =
y = -x + 5
Answer:
x= 1.5, y= 3.5
or x= -5, y= 10
Step-by-step explanation:
Let's solve by substitution.
Label the two equations:
y= 2x² +6x -10 -----(1)
y= -x +5 -----(2)
Substitute (2) into (1):
2x² +6x -10= -x +5
2x² +6x +x -10 -5= 0
Simplify:
2x² +7x -15= 0
Factorise:
(2x -3)(x +5)= 0
2x -3= 0 or x +5= 0
2x= 3 or x= -5
x= 1.5
Now that we have found the value of x, we can find the value of y through substitution.
Substitute into (2):
y= -1.5 +5 or y= -(-5) +5
y= 3.5 or y= 10
Supplementary:
Do check out the following should you wish to learn more about solving quadratic equations!
https://brainly.com/question/12187987Simplify the expression to a polynomial in standard form:
(−x+1)(x^2+6x−4)
Answer:
-x^3-5x^2+10x-4
Step-by-step explanation:
(−x + 1) (x ^ 2 + 6x − 4) = (-x)(x ^ 2 + 6x − 4) + 1(x ^ 2 + 6x − 4)
= -x^3-6x^2+4x+x^2+6x-4 = -x^3-5x^2+10x-4
Alan bought 3 pencils and a notebook. The notebook cost $6, and he spent a total of $12. How much did each pencil cost? Use p to represent how much each pencil costs.
Answer:
$2
Step-by-step explanation:
If the total is $12, and he spent $6 on a notebook, he has $6 left for his 3 pencils. If each pencil costs the same, he paid $2 for each pencil.
A basketball hoop is shown. Lisa is standing 10 feet from the basketball net. The basketball net is 8.5 feet high. Lisa apostrophe s line of vision is 5 feet off the ground. When she looks up to the net, a right triangle is formed.
Use the diagram and complete the steps to find the measure of the angle of depression from the top of the hoop to Lisa.
The length of the shortest leg of the right triangle that is formed is
feet.
The angle of depression from the hoop to Lisa is
to the angle of elevation from Lisa’s line of sight to the hoop.
Because the lengths of the opposite and adjacent sides are known, use the
function.
The angle of depression, rounded to the nearest degree, is approximately
degrees.
By critically observing the basketball hoop (see attachment), we can logically deduce that the basket's height from Lisa's horizontal sight is the same as the length of the shortest leg of the right-angle triangle:
Shortest leg = 8.5 - 5
Shortest leg = 3.5 feet.
In Geometry, the sum of all the angles in a triangle is equal to 180°:
x + y + z = 180
x + y + 90 = 180
x + y = 180 - 90
x + y = 90° (complementary angle).
Therefore, the angle of depression is complementary to the angle of elevation.
Also, you should use the inverse tangent function because the lengths of the opposite and adjacent sides of the right-angle triangle are known.
How to find the angle of depression?Angle of depression = tan⁻¹(Opposite/Adjacent)
Angle of depression = tan⁻¹(3.5/10)
Angle of depression = 19.29° ≈ 19°.
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Answer:
3.5
congruent
inverse tangent
19
Step-by-step explanation:
−5(5x+3)−5x+1= -44
solve for X
Answer:
x=1
Step-by-step explanation:
Original Equation:
[tex]-5(5x+3)-5x+1= -44[/tex]
Distribute the -5
[tex]-25x-15-5x+1= -44[/tex]
Add like terms
[tex]-30x-14=-44[/tex]
Add 14 to both sides
[tex]-30x=-30[/tex]
Divide both sides by -30
[tex]x=1[/tex]
Answer:
x = 1
Step-by-step explanation:
-5(5x+3) - 5x + 1 = -44
(-5*5x -5*3) - 5x + 1 = -44
(-25x - 15) - 5x + 1 = -44
-25x - 5x - 15 + 1 = -44
-30x - 14 = -44
-30x = -44 + 14
-30x = -30
x = -30/-30
x = 1
Check:
-5(/5*1) + 3) - 5*1 + 1 = -44
-5(5+3) - 5 + 1 = -44
-5*8 - 5 + 1 = -44
-40 - 5 + 1 = -44
-45 + 1 = -44
Find 0,8,3 round the nearest degree
The measure of [tex]\theta[/tex] is 68 degrees
How to solve the angle?The complete question is in the attached image
The value of [tex]\theta[/tex] is calculate using the following cosine function
[tex]\cos(\theta) = \frac 38[/tex]
Evaluate the quotient'
[tex]\cos(\theta) = 0.375[/tex]
Take the arc cos of both sides
[tex]\theta = \cos^{-1}(0.375)[/tex]
Evaluate the arc cos
[tex]\theta = 67.97[/tex]
Approximate to the nearest degree
[tex]\theta = 68[/tex]
Hence, the measure of [tex]\theta[/tex] is 68 degrees
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The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y
5(x-y)
Answer:
3.5Step-by-step explanation:
We already know that x-y equals to 0.7,so 5(x-y) would just be 5(0.7), with this the answer would equal to 3.5.***I hope this helps and the explanation is helpful!***
Step-by-step explanation:
5 x 0.7 = 3.5
ASAP!!! Question 7 (Essay Worth 5 points)
(02.03)
Part A: Use ratio language to describe the relationship of any two things you can think of.
Example: For every 5 minutes of jogging, I ran 500 yards.
Be creative and come up with your own idea.
Part B: Determine the unit rate in your example.
this is what i have for part a: For every 1 student out of school, there are 10 students going to school
help me with part B pls I need to find the unit rate for my part a.
The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A unit rate is a ratio between two different units with a denominator of one.
If For every 1 student out of school, there are 10 students going to school, hence:
Unit rate = 10/1 = 10 students going to school per 1 student out of school
The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school
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