opposit side of parallelogram are equal and opposit angles are also equal
Write a formula for function g in terms of function h.
Answer:
g(x) = h(x + 7) + 5Step-by-step explanation:
Compare the corresponding points, the best is vertices
y = h(x) ⇒ (- 2, - 7)y = g(x) ⇒ (5, - 2)Find the difference of coordinates, the rule of translation right and up
x = 5 - (-2) = 7 y = - 2 - (- 7) = 5The formula of g(x) in therms of h(x) is:
g(x) = h(x + 7) + 5Answer:
g(x) = h(x - 7) + 5
Step-by-step explanation:
Vertex of a parabola
The turning point (stationary point) of the curve.
the minimum point of a parabola that opens upwardsthe maximum point of a parabola that opens downwardsTo find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.
Vertex of h(x) = (-2, -7)
Vertex of g(x) = (5, -2)
Therefore, y = h(x) has been translated 7 units to the right and 5 units up.
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
h(x) translated 7 units right = h(x - 7)h(x - 7) translated 5 units up = h(x - 7) + 5Therefore, the formula for g(x) in terms of h(x) is:
g(x) = h(x - 7) + 5
Learn more about transformations here:
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Find the lateral surface area of the triangular prism. refer to your staar 8th grade math reference sheet for the appropriate formula. question 8 options: 90 in2 110 in2 120 in2 130 in2
The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
What is the lateral surface area of the triangular prism?The lateral surface area of the triangular prism is the product of the perimeter of the base and length.
L = perimeter of the base × length.
The side of the base is given as 7in, 3in, and 3in
and the length is 10in
The lateral surface area of the triangular prism = perimeter of the base × length.
L = (7in + 3in + 3in) 10
L = 13 × 10
L = 130 in sq.
Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.
Learn more about prism;
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Answer:
130 ig
Step-by-step explanation:
the quotient of 40 and 5
Answer:
8
Step-by-step explanation:
Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.
If you multiply the quotient with the divisor, you get the dividend, as 8*5=40
What is the square root of 546 divided by 67 (100 points!)
Round answer to 2 decimal points
Answer: the answer is 0.35 because
Square root of 546 is 23.3666428911
23.3666428911 divided by 67 is 0.34875586404
0.34875586404 rounded to 2 decimal points is 0.34875586404
the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487
A line has a rise of 3 and a run of 12. What is the slope?
O 1/3
O 4
O 1/4
The sum of 2 numbers is 55 the greater number is 17 times the smaller number plus 1 find the number
Answer:
3, 52
Step-by-step explanation:
The given relation can be expressed by the equation ...
x +(17x +1) = 55 . . . . . . where x represents the smaller number
__
Solution
18x = 54 . . . . . . . . . collect terms, subtract 1
x = 3 . . . . . . . . . divide by 18
The smaller number is 3. The larger number is 55-3 = 52.
Jeffrey is looking at a map of his town to help him get from his school to the library. If 1 inch is equal to 9 miles, and the distance on the map is 1/4
inch, how far is it to the library?
Answer:
2.25 miles
Step-by-step explanation:
1/4 of 9 is 2.25
Answer:
2.25 miles away
Step-by-step explanation:
first make 1/4 a percent
second set up a proportion
then solve the proportion and then you get 2.25 and add a label
look at point C and D on the graph..
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
2.24 units
3.16 units
6.40 units
7.07 units
Answer: 7.07
Step-by-step explanation:
Solve this on your own and find the unit rate of miles per hour.
Solve the folllowing question-->2e+3=5
Answer:
[tex]\boxed{\sf{e=1}}[/tex]Step-by-step explanation:
Isolate the term of e from one side of the equation.
2e+3=5First, you subtract by 3 from both sides.
⇒ 2e+3-3=5-3
Solve.
Subtract the numbers from left to right.
⇒ 5-3=2
Rewrite the problem down.
⇒ 2e=2
Divide by 2 from both sides.
⇒ 2e/2=2/2
Solve.
Divide the numbers from left to right.
⇒ 2/2=1
⇒ e=1
Therefore, the correct answer is e=1.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
e = 1
Step-by-step explanation:
Subtract 3 both sides:
⇒ 2e + 3 = 5
⇒ 2e + 3 - 3 = 5 - 3
⇒ 2e = 2
Divide both sides by 2:
⇒ 2e = 2
⇒ 2e/2 = 2/2
⇒ e = 1
Which fraction does this line plot represent?
5/8
6/8
5/9
3/8
Answer:
5/8
Step-by-step explanation:
Just gonna fill up the required space here lol
Help With this Math problem
Answer:
a) c = 11.2
b) c = 2
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
c = line across from the right angle
pls help me to answer this
Answers:
Sample Variance = 31.03
Sample Standard Deviation = 5.57
See the table below.
===================================================
Explanation:
M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.
For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.
Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.
Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.
--------------------------------------------------------------------------
After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].
This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03
This is the sample variance.
The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.
For each interval on the table indicate whether is increasing decreasing or neither
The intervals indicated on the graph are:
-7 < x < -3, -3 < x < -1, & 1 < x < 3 are increasing
-1 < x < 1, & 3 < x < 5 are decreasing
5 < x < 7 is neither
When does an Interval of a Function Decrease or Increase?The interval of a function is increasing when the line slopes upward to the right along the interval. This means that the function value would increase as the input values decrease within the given interval.
On the other hand, the interval decreases when the line of the function slopes downwards within the interval. This implies that as the function value decreases, the input values increase within the given interval.
Therefore, from the graph given, we can conclude that:
-7 < x < -3: increasing
-3 < x < -1: increasing
-1 < x < 1: decreasing
1 < x < 3: increasing
3 < x < 5: decreasing
5 < x < 7: neither
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(HELP!!!)
Identify the variable expression that is “not” a polynomial.
A. x+2
B. XA+7
C. 24
D. y + x
Identify the variable expression that is “not” a polynomial.
Try looking for the one that breaks the rules of it being a polynomial.
Genevieve needs to buy some uniform shirts for her new job. Store A sells uniform shirts for $12 each. Store B sells uniform shirts for $14. 50 each. Genevieve has a coupon for $10 off her purchase at Store A and another coupon for $20 off her purchase at Store B.
Write an
equation that can be used to determine s, the number of uniform shirts Genevieve can buy to
make the total purchase price the same for each store.
Therefore, the resulting expression for the price Genevieve will pay
will be: p - 100 - 3/20p
-lukelaws
Which number is a rational number?
13
549
16
√34
Answer:
all numbers except √34
Step-by-step explanation:
the top three are whole numbers and therefore rational
Pls help me
What is the volume of this figure?
Enter your answer in the box.
Answer:
Step-by-step explanation:
Volume of the figure = Base area * height
Base area:
Base area = area of trpezium + area of triangle
Trapezium:
a, b area the length of parallel sides and h is the height of trapezium.
a = 8 m ; b = 5 m & h = 3 m
[tex]\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}[/tex]
[tex]=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}[/tex]
Triangle:
height = 4 m & base = 8 m
[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}[/tex]
Base area = 19.5 + 16
= 35.5 m²
Volume of the figure = Base area * height
= 35.5 * 14
= 497 m³
If x=y and y= 2, then 3x=
~Denki Kaminari here~
Answer:
6
Step-by-step explanation:
because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!
hope this helps :D
Answer:
6
Step-by-step explanation:
Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.
So substitute x = 2 in 3x:
3(2) = 6
Therefore, the solution is 6
The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 18
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line
Answer:
They are the same line. It means that they are overlapping line.
Answer:
Overlapping
Step-by-step explanation:
Divide every term of the second equation, it would be 2x + y = 6, which is the same as the first equation.
Let f be the function defined by 1 2 1 1 4 3 2 f x( ) = x − x + x − x 4 3 2 2 . For how many values of x in the open interval (0, 1.565) is the instantaneous rate of change of f equal to the average rate of change of f on the closed interval [0, 1.565] ?
There are three values of x where the instantaneous rate of change of f(x) are equal in the open and closed intervals
How to determine the number of x values?The function is given as:
[tex]f(x) = \frac 14x^4 - \frac 23x^3 + \frac 12x^2 - \frac 12x[/tex]
Calculate f(0)
[tex]f(0) = \frac 14 * 0^4 - \frac 23 * 0^3 + \frac 12 *0^2 - \frac 12 * 0[/tex]
[tex]f(0) = 0[/tex]
Calculate f(1.565)
[tex]f(1.565) = \frac 14 * 1.565^4 - \frac 23 * 1.565^3 + \frac 12 *1.565^2 - \frac 12 * 1.565[/tex]
[tex]f(1.565) = -0.613[/tex]
The average rate of change is then calculated using:
[tex]m = \frac{f(1.565) - f(0)}{1.565 - 0}[/tex]
This gives
[tex]m = \frac{-0.613 - 0}{1.565 - 0}[/tex]
[tex]m = -0.392[/tex]
Differentiate the function f(x)
[tex]f'(x) = x^3 - 2x^2 + x - \frac 12[/tex]
Set f'(x) to [tex]m = -0.392[/tex]
[tex]x^3 - 2x^2 + x - \frac 12 = -0.392[/tex]
From the graph of the above equation (see attachment), we have three values of x at:
x = 0.1492, x = 0.5614 and x = 1.2894
Hence, there are three values of x in the open interval (0,1.565)
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Kia's plant is 8 1/5 inches tall and is growing 2/3 inch each week. Lyric's plant is 10 7/10 inches tall and is growing 1/6 inch each week. Write and solve an equation to find how many weeks it will take for the height of the two plants to be the same.
Equation:
Solution:
Answer:
See below
Step-by-step explanation:
8.2 + 2/3w = 10.7 + 1/6 w
1/2 w = 2.5
w = 5 weeks
Please tell me how to solve this. if two people answer and one is the most specific, I will mark Brainliest.
Answer:
3.
Step-by-step explanation:
You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.
"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle
and again, 7-10.. thanks!!
unhelpful answers will be deleted.
In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111
What is a parallelogram?
A parallelogram is a quadrilateral with equal opposite and parallel sides. Opposite angles are equal.
In parallelogram SAVE:
m∠VAS = m∠SEV
3x - 5 = 2x + 15
x = 20
m∠VAS = 3(20) - 5 = 55 degrees
m∠VAS + m∠SEV = 180 (consecutive interior angles)
55 + m∠SEV = 180
m∠SEV = 125°
In parallelogram MORE:
∠MOR + ∠ORE = 180 (consecutive interior angles)
4x - 5 + 2x + 11 = 180
x = 29
∠MOR = 4(29) - 5 = 111
In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111
Find out more on parallelogram at: https://brainly.com/question/970600
Determine the volume of a rectangular prism if
length = 5 inches
width = 4 inches
height = 4 inches
Answer:
80 inches cubed
Step-by-step explanation:
V=bh
b= 5 x4 h=4
5 x 4 x 4 = 80
Work out the size of one of the exterior angles
Given Information :-
⠀
A polygon with 10 sides ( Decagon )⠀
To Find :-
⠀
The value of one of the exterior angles⠀
Formula Used :-
⠀
[tex] \qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star[/tex]
⠀
Solution :-
⠀
Putting the given values, we get,
⠀
[tex]\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\ [/tex]
Thus, the value of the exterior angles of a Decagon is 36°.
⠀
[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]
Answer:
36° .⠀
Explanation :
⠀
For a regular polygon of n sides, we have
[tex]{ \longrightarrow \qquad \pmb{ \it{Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)^{ \circ} }}}}[/tex]
⠀
Here, We are to find the measure of each exterior angle of a regular decagon.
⠀
So, we know a regular decagon has 10 sides, so n = 10 .⠀
Now, substituting the value :
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]
⠀
[tex]{\pmb{ \frak{ \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }}}[/tex]
⠀
Therefore,
The measure of each exterior angle of a regular decagon is 36° .A boat is traveling at 28 knots in a direction of 36 degrees. It encounters wind moving at 10 knots in a direction of 22 degrees. What is the true velocity and direction of the boat? round to the nearest whole #
a) 38knots;58 degrees
b) 32knots;30 degrees
c) 1,427knots;58 degrees
d) 38knots;32 degrees
The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.
How to get the velocity of the boat?
First, we need to write need to find the component of the two given velocities.
For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:
x-component = (28 knots)*cos(36°) = 22.65 knotsy-component = (28 knots)*sin(36°) = 16.46 knotsFor the wind, the components are:
x-component = (10 knots)*cos(22°) = 9.27 knotsy-component = (10 knots)*sin(22°) = 3.75 knotsAdding these, the total components of the boat's velocity are:
x-comp = 22.65 knots+ 9.27 knots = 31.92 knotsy-comp = 16.46 knots + 3.75 knots = 20.21 knotsThen the magnitude of the velocity is:
|V| = √( (31.92 knots)^2 + (20.21 knots)^2) =37.78 knots
That can be rounded to 38 knots
To get the angle, we take the arctangent of the quotient between the y-component and the x-component:
a = Atan(20.21 knots/31.92 knots) = 32.34°
Then the correct option is d) 38 knots and 32°
If you want to learn more about velocity, you can read:
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Answer:
It is 38 knots; 32 degrees
Step-by-step explanation:
The answer below is right
I took the test
Convert 0.631 to a fraction in simplest form and a percent.
Answer:
63.1%
631/1,000
Step-by-step explanation:
Consider the quadratic equation x2+7x+8=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
x=7 ±(7)2−4(1)(8)√2(1)
x=(7)2−4(1)(8)√2(1)
x=−7 ±(7)2−(1)(8)√2(1)
x=−7 ±(7)2−4(1)(8)√2(1)
Answer:
x=−7 ±(7)2−4(1)(8)√2(1)
Step-by-step explanation:
I risked it all and got it right
Ben has a dog that has a mass of 9 kilograms. What is the mass of the dog in grams?
Answer:
9000 grams
Step-by-step explanation:
Keep in mind the conversion 1 kilogram = 1000 grams, as 1 kilo means 1000.
⇒ 1 kilogram = 1000 grams
⇒ Ben's dog = 9 kilogram = x kilograms = 1000x grams
⇒ x = 9
⇒ Ben's dog = 9 kilogram = 1000x grams
= 1000(9) grams
= 9000 grams
Answer:
Your answer is,
9000 grams
Step-by-step explanation:
Hope this helps you :)
pls mark brainliest <3
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``Tori