The coordinates of the fourth vertex, H is; (-6.056, 7.302)
How to find the Coordinates of a Kite?
A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.
We are given the coordinates of its' vertices as;
E(1,6), F(3,5), and G(4,-3).
The two diagonals are perpendicular;
Slope of EG = (-3 - 6)/(4 - 1)
Slope of EG = -9/5
Equation of line passing through G is;
y = mx + c
-3 = -9/5(4) + c
-15 = -36 + 15c
c = 51/15 = 17/5
y = (-9/5)x + 17/5 ------(1)
Equation of line passing through F is;
y = mx + c
6 = (5/9)(1) + c
54 = -9 + 9c
c = 7
y = (5/9)x + 7 -----(2)
Solving eq 1 and eq 2 simultaneously gives;
x = -1.528 and y = 6.151
If (a, b) are coordinates of vertex H, then;
(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151
Thus;
a = -6.056 and b = 7.302
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The graphs of f(x) and g(x) are shown below:
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answer:
A. g(x)=(x+9)^2
Step-by-step explanation:
if it’s plus inside the parentheses it’s goes left and if it’s - it’s right
Hope this helps! ;-)
Find the prime factorization of 945
Answer:
3 × 3 × 3 × 5 × 7
Which function is increasing?
Use three different values of n to demonstrate that 2 n + 3 n is equivalent to 5 n .
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number :)
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
Solve for the variable and give an exact answer.
Answer:
4√ 2
Step-by-step explanation:
2x^2=64 and x^2 = 32 so x= 4√ 2
Help me answer this please
Answer:
scale factor = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , Q to P , then
scale factor = [tex]\frac{3}{4}[/tex]
Find (a) arc length and (b) Area of a sector.
Answer:
a) 19.63 mm (2 dp)
b) 245.44 mm² (2 dp)
Step-by-step explanation:
Formula
[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]
[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]
Calculation
Given:
[tex]\theta[/tex] = 45°r = 25 mm[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (25)\left(\dfrac{45^{\circ}}{360^{\circ}}\right)\\ & = 50 \pi \left(\dfrac{1}{8}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf mm \:(2\:dp)\end{aligned}[/tex]
[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{45^{\circ}}{360^{\circ}}\right) \pi (25)^2\\& = \left(\dfrac{1}{8}\right)\pi \cdot 625\\& = \dfrac{625}{8} \pi\\& = 245.44\: \sf mm^2 \:(2\:dp)\end{aligned}[/tex]
Please note: As you have not specified if π should be approximated, I have not used an approximation for π.
Find the vertex. f(x)=2^2 - 8
Answer:
(0, -√2)
Step-by-step explanation:
Given :
f(x) = x² - 8Finding vertex :
Given by (h, k)h = -b/2a = 0k = -D/4aD = √0 - 4(1)(-8) = √32 = 4√2k = -4√2/4 = -√2Vertex is (0, -√2)The midpoint of overline AB is M(-4, -3). If the coordinates of A are (-1, -2) what are the coordinates of B?
Answer:
(-2.5,-2.5)
Step-by-step explanation:
(-4+-1)÷2=-2.5
(-3+-2)÷2=-2.5
Answer:
(-7, -4)
Step-by-step explanation:
Equating A and B to the Midpoint (M) :
(-4, -3) = (-1 + x / 2, -2 + y / 2)Equations formed :
-1 + x / 2 = -4-1 + x = -8x = -72. -2 + y / 2 = -3
-2 + y = -6y = -4Coordinates of B :
(x, y)(-7, -4)I am a bit confused on how to solve it so please explain
Answer:
Step-by-step explanation:
You could do it either way, but I have attached an image with one way to do it.
Then, using the exterior angle theorem, you can do:
(180-4x) + 100 = 3x
280 - 4x = 3x
280 = 7x
x = 40
From there, don't forget to plug in the numbers if you need to do so :)
Identify the initial mount (A) and the growth factor (B) be in each exponential function break into (1+r) where the r is the rate of growth. Give r as a percentage.
y = 1.4 (1.02)
a=
b=
r (as a percentage) =
Help me please!!!!!!!!!!!!!!!
Answer:
y= -x to the power of 2
so the answer is the first one!
Hope this helps!!
Spencer took $21 with him to the mall. At the music store he spent 2/3 of his money on a DVD. He spent ¼ of what he had left on a drink. How much money did Spencer have left after he bought the drink?
Answer:
$10.50
Step-by-step explanation:
2/3 of $21 = $14
1/4 of $14 = $3.50
$14 - $3.5 = $10.50
HELP PELASE ILL MARK BRAINLIEST AND POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.
and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.
that is ~
[tex]\qquad \sf \dashrightarrow \: x + y = 3[/tex]
put y = - 2,we will get :
[tex]\qquad \sf \dashrightarrow \: x - 2 = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
so, 1st equation satifys the condition. let's check out 2nd one.
[tex]\qquad \sf \dashrightarrow \: x + 2y = 1[/tex]
put y = -2
[tex]\qquad \sf \dashrightarrow \: x + (2 \times - 2) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4 = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Hence, we can conclude that the Correct choice is D
Find the surface area of the prism.
Answer:
252m^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).
we just plug in the values.
2(12 x 6) + 2(12 x 3) + 2(6 x 3)
= 2(72) + 2(36) + 2(18) then simplify
= 144 + 72 + 36
= 252
NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK
Answer:
i thing it is 2，if i wrong so sorry
in 130426 the digit 2 is in the ____ place?
Answer:
A Tens place.
Step-by-step explanation:
last 2 digits are twenty six.
Idil wants to ride her bicycle 41.4 miles this week. She has already ridden 15 miles. If she rides for 4 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
6.6
Step-by-step explanation:
41.4-15 = 26.4
26.4 divided by 4 equals 6.6
Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.
How find the average number of miles she would have to ride each day to meet her goal?To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:
Average miles per day = (Total miles - Miles already ridden) / Number of days remaining
Given information:
Total miles she wants to ride = 41.4 miles
Miles already ridden = 15 miles
Number of days remaining = 4 days
Now, let's calculate the average miles per day:
Average miles per day = (41.4 - 15) / 4
Average miles per day = 26.4 / 4
Average miles per day = 6.6
So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.
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Please help giving 80 points
Graph the function on the coordinate plain
A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value
Answer:
X Intercepts: (2, 0), (-6, 0),
Y Intercepts: (0, – 12)
minimum: (-2,-16)
Step-by-step explanation:
A) what are the x intercepts
X- axis interception points of x²+ 4x– 12:
(2,0), (-6,0)
B)what is the y intercepts
Y-axis interception point of x² + 4X – 12:
(0, – 12)
X Intercepts: (2, 0), (-6, 0), Y Intercepts: (0, – 12)
C)what is the maximum and minimum value
Parabola equation in polynomial form
The parabola params are:
a=1, b=4,c= -12
xv= -b/2a
xv= -4/2.1
simplify
xv=-2
Plug in xv = -2 to find the yv value
yv= -16
Therefore the parabola vertex is (-2, – 16)
If a<0. then the vertex is a maximum value
If a>0. then the vertex is a minimum value
a=1
minimum=(-2,-16)
Which property is demonstrated below? startfraction 17 over 3 endfraction times startfraction 3 over 17 endfraction = 1 associative property of multiplication inverse property of multiplication identity property of multiplication commutative property of multiplication
The property applied to the expression is (b) inverse property of multiplication
How to determine the property?The expression is given as:
[tex]\frac{17}{3} * \frac{3}{17} = 1[/tex]
The numbers 17/3 and 3/17 are multiplicative inverses.
This means that the property applied to the expression is (b) inverse property of multiplication
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Answer:
Inverse Multiplication
Step-by-step explanation:
If you want the work to be shown, look up, otherwise my answer was B on Edge 2022
ECA is a semi equilateral triangle at C,
where EÂC= 30°
B is point on [AC] such that BC = 2cm
and BE = 3cm.
Calculate AE.
Answer: its 50
Step-by-step explanation:
1.Judy put 50 cents and 1 quarter into a vending machine to buy a bottle of fruit juice. She got 2 dimes and 1 nickel back from the vending machine. How much did the bottle of fruit juice cost
Nickel - 5 cents
Dime - 10 cents
Quarter - 25 cents
Judy put in: 50 + 25 = 75 cents
The machine gave back: 10 + 10 + 5 = 25
Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents
Answer:
Nickel - 5 cents
Dime - 10 cents
Quarter - 25 cents
Judy put in: 50 + 25 = 75 cents
The machine gave back: 10 + 10 + 5 = 25
Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents
Step-by-step explanation:
General rule nth term)
6;11;16; 21; .....
Answer:
The rule is increase by 5. That means the next term would be 26.
How many right angles are on this shape?
Explanation:
The term "right angle" is another way of saying "90 degree angle".
Such angles are marked as squares. Usually there are tiny square symbols inside the angle to be very clear that we have 90 degree angles. Some diagrams may not do this, and simply imply that anything that looks like a square 90 degree angle actually is one.
With this in mind, the angles that fit the description are angles J and M at the bottom of the figure. Therefore, there are 2 right angles in this shape.
Side note: This figure is a trapezoid because it has exactly one set of parallel sides KJ and LM.
?÷9 resto:6 resultado:476 me ayudan necesito saber cual es el numero que se divide por 9 para que la division quede completa.
Porfa doy coronita y les doy mis puntos.
Answer:
4289.4
Step-by-step explanation:
El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6
Vincent bought a movie ticket with a promo of free pizza, popcorn and a drink. How many possible meals can vincent choose from given that there is 8 flavors of pizza, 4 flavors of popcorn and 3 kinds of drinks?
A. 15
B. 56
C. 72
D. 96
Answer:
D. 96
Step-by-step explanation:
Using the Multiplication Principle, we multiply the number of choices for each item together:
[tex]8 \cdot 4 \cdot 3 = 96[/tex]
Tandem Cycling Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5 km from home and their walking speed is 4 kilometres per hour. a On Monday, Nikita and Peter cycle and Reeta walks. On reaching the point four-fifths of the way home the bike gets a puncture, so Nikita and Peter walk the rest of the way home. How far from school is Reeta when the cyclists arrive home? b On Tuesday, Peter and Reeta ride the bike and Nikita walks. When the cyclists arrive home, Peter hops off the bike and Reeta rides back towards school to collect Nikita. How far from school is Nikita when Reeta reaches her? c On Wednesday, Reeta and Nikita take the bike and Peter walks. When the cyclists are halfway home, Reeta off and walks the rest of the way, while Nikita heads back to pick up Peter. How far from school is Reeta when her siblings pass her on the bike? d On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home. Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off and pick-up points?
The distance between Reeta and the school when the cyclists arrive the home for this case is found to be 2 km
How to form mathematical expressions from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example, if it is asked to increase some items by 4, then you can add 4 in that item to increase it by 4. If something is, for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert descriptions to mathematical expressions.
How to find the speed of an object?
If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it travelled to the time it took to travel that distance.
If the object travelled D distance in T units of time, then that object's speed is
[tex]Speed = \dfrac{D}{T}[/tex]
Given that:
Distance from school to home = 5 kmWalking speed = 4 km / hoursCycling speed = 5 times walking speed = 20 km / hourThey all go and come together to and from school/home.On Monday: Nikita and Peter are coming by cycle, and Reeta walks.Cycle punctures at four-fifth of the way home = [tex]\dfrac{4}{5}\times 5[/tex] from school (as they're coming towards home, so went from school)After a puncture, cyclists walk to homeTo find the Distance of Reeta from school when the cyclist reaches home.Suppose at time 0 hours, all three people departed from school (on that Monday).
After 't' hours, suppose the cycle gets punctured.
Then, as the cycle was going by 20 km/hour speed, so in 't' hours, it must have covered d kilometres (suppose),
then we get:
[tex]S =\dfrac{D}{T}[/tex]
[tex]20=\dfrac{d}{t}[/tex]
d = 20t
This distance is measured from school. But we know that this distance is 4 km, so we get:
20t = 4
t = 1 / 4
The remaining 1 km (as the home is 5 km away from school and 4 km is already travelled) is walked by Cyclists. And walking speed is 5 km/hour, so let they take T hours to travel that 1 km walking, then we get:
5 = 1 / T
t = 0.2 hours
So, the total time cyclists took to reach home from school is: 0.2+0.2=0.4 hours
Reeta is walking that whole 5 km.
The time the cyclist reached home, Reeta had walked for 0.4 hours as they had started at the same time, and it took cyclists 0.4 hours to reach home.
Thus, we have:
Time is taken 0.4 hours, speed of Reeta = walking speed= 5 km/hour, then we get:
D = S x T
D = 5 x 0.4 = 2 km
So Reeta was 2 km away from school when cyclists reached home on that Monday.
Thus, the distance between Reeta and the school when the cyclists arrive at the home for this case is found to be 2 km
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Belle runs 16 times around a track that measures 1/4 mile long.
What fraction shows the distance that Belle runs?
How many whole miles does Belle run?
What is 1/4 of 12? I can’t figure it out.
Answer:
3
Step-by-step explanation:
1/4 of 12 means (1/4) x 12
=> (1/4)x12
=> 12/4
=> 3
Answer: Heyaa! ~
Your Answer would be 3!
Step-by-step explanation:
We can write 1/4 of 12 as 1/4 × 12
To multiply fractions, follow the given steps:
Multiply the numerators.
Multiply the denominators.
Reduce the resultant fraction to its lowest terms.
Now,
1/4 × 12 = (1 × 12) / 4 = 12/4 = 3
Meaning the answer is.. 1/4 of 12 = 3
Hopefully this helps you!
Which of the following functions would best model the progression of the points in the scatter plot?
A: a quadratic function
B: a linear function
C: a square root function
D: an exponential function
The function that would best model the progression of points in the given scatter plot is: D. an exponential function.
What is an Exponential Function?If a function is an exponential function, as the x-value increases, the value of y approaches infinity, or as x-value decreases, the value of y approaches 0.
The graph given is a typical example of how an exponential function graph behaves.
Therefore, the best model for the progression of points is: D. an exponential function.
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