Answer:
[tex]P' = (1,-2)[/tex]
Step-by-step explanation:
Given
[tex]P = (1.6)[/tex]
[tex]Q = (-6,1)[/tex]
Reflection over: [tex]y = 2[/tex]
Required
Determine the coordinates of P'
From the given coordinates, the y coordinates of P is 6 and the line of reflection is at y = 2
Since we are to reflect over y = 2, only the y coordinate of P will be affected.
The idea behind reflecting a point over a line is to have an equal distance between [the original point & the line of reflection] and [the new point & the line of reflection]
So, what to do is:
First, calculate the difference between the y coordinates of P and the line of reflection.
The y coordinate of P is 6 and the line of reflection is at y = 2.
So, the difference is: 6 -2 = 4
Next, subtract the calculated difference from the line of reflection to get the y coordinate of P'
y coordinate of P' = 2 - 4 = -2
Hence, the coordinate of P' is: (1,-2)
Which of the following pairs show two congruent triangles?
Answer:
B and C
Step-by-step explanation:
They're congruent
What’s the difference between length and dimension? pls provide some examples too.
Answer:
length is longer
Step-by-step explanation:
length is llonger than dimensions
Answer:
length, is how tall it is....... dimensions is like lenght width and depth
Step-by-step explanation:
a line going up would eb the length,
dimentsions....l lengths...._ width ..... depth /
A chemist calculated that the amount of baking soda required for an experiment is between
(Square root of 20) grams and 14/3 grams. Which value could be the number of grams of baking soda
required for the experiment?
A 4.5 g
B 4.79
C 10.39
D 13.4 g
Answer:
4.5g
Step-by-step explanation:
it's easy
Which equation represents a line which is perpendicular to the line
7x + 3y = -18?
Oy=7/3x +1
Oy= 3/7 x + 5
Oy= - 3/7 x + 2
Oy= -7/3 x + 6
Answer: y=3/7x + 5
Step-by-step explanation:
The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
we know that,
In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:
m1 = -1/(m2)
where m1 and m2 are the slopes of the lines.
Write the given equation in slope-intercept form to identify the slope m1, as follow:
7x + 3y = -18 subtract 7x both sides
3y = - 7x - 18 divide by 3 both sides
y = -7/3 x - 6
remind that the general form of the equation of a line can be written as follow:
y = mx + b
where m is the slope. Based on the expression for y = -7/3 x - 6, you have
m1 = -7/3
then, calculate m2:
m2 = -1/(m1)
m2 = -1/(-7/3)
m2 = 3/7
Hence, it is necessary that the perpendicular line has a positive slope of 3/7.
From the given answer choices, you can notice that the only option with the required slope is:
y = 3/7 x + 5
To learn more on slope click:
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En una tienda en la que todo está rebajado el 15% he comprado un pantalón por el que he pagado 102 €. ¿Cuál era el precio antes de la rebaja?
Answer:
120 euros
Step-by-step explanation:
X= 100% del precio (antes de la rebaja)
Pagaste el 85% pues habia descuento del 15%
85%--------------102
100%---------------x
CROSS MULTIPLICATION
85X = 10200
Divide cada parte por 85
x= 120
Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.
En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.
Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original, al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.
Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:
15% de p= (15×p) ÷10
Sabiendo que se ha pagado 102 € por el pantalón, entonces:
p - (15×p) ÷10 = 102
Resolviendo
p - 0,15×p= 102
0,85×p= 102
p= 102÷0.85
p= 120
Finalmente, el precio antes de la rebaja era 120 €.
Aprende mas con estos ejemplos:
https://brainly.com/question/23880934?referrer=searchResultshttps://brainly.com/question/20333251?referrer=searchResultshttps://brainly.com/question/21289921?referrer=searchResults PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?
Answer:
Step-by-step explanation:
Assuming the parking lot is along both widths of the field and only once along the length:
the length is (300 - 2x)
the width is (200 -x)
the area is (300-2x)(200-x) = 30000
60000 -300x - 400x +2x^2 = 30000
2x^2 -700x + 30000 = 0
x^2 - 350x + 15000 = 0
(x - 300 )(x - 50 ) = 0
x = 300 or x=50
x=300 results in negative measures.
the parking lot is x=50 wide
the length of the field is 200, the width of the field is 150
23 points!!!!!!
If the first 2 sides of a triangle are 6 cm and 4 cm, which of the following are possibilities for the other side? Choose all that apply.
2.5 cm
2 cm
1 cm
4 cm
Answer:
2.5cm and 4cmStep-by-step explanation:
According to Triangle Inequality Property:
Measurement of any two sides of the triangle should be greater than the third side
So,
For 2.5,
6 + 4 = 10 > 2.5
4 + 2.5 = 6.5 > 6
6 + 2.5 = 8.5 > 4
For 4,
6 + 4 = 10 > 4
4 + 6 = 10 > 4
4 + 4 = 8 > 6
While for 1 and 2,
4 + 1 = 5 < 6
and
4 + 2 = 6 = 6
Hence,
Only 2.5 and 4 are the possible measurements.
36abc + 54ad = ? im struggling with math
Answer:
18a(2bc+3d)
Step-by-step explanation:
36abc + 54ad = ?
Rewrite as ;
=2*18abc+3*18ad
Factor out common term 18a
18a(2bc+3d)
I HOPE THIS HELPED!!!
The function f(x) = x2 is shifted up five units. Which of the following function equations represents this translation?
A)
f(x) = (x + 5)2
B)
f(x) = (x – 5)2
C)
f(x) = x2 – 5
D)
f(x) = x2 + 5
Type the correct answer in each box. Round your answers to the nearest dollar.
These are the cost and revenue functions for a line of 24-pound bags of dog food sold by a large distributor:
R(x) = -31.72x2 + 2,030x
C(x) = -126.96x + 26,391
The maximum profit of $ Blank
can be made when the selling price of the dog food is set to $ Blank
per bag.
there are two answers
Answer:
$10,277.32
Step-by-step explanation:
Given the revenue and cost function
R(x) = -31.72x^2 + 2,030x
C(x) = -126.96x + 26,391
The profit function is expressed as;
P(x) = R(x) - C(x)
P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,030x+126.96x - 26,391
P(x) = -31.72x^2 + 2,156.96x - 26,391
To have maximum profit, d
The maximum profit dP/dx = 0
dP/dx = -63.44x+2156.96
-63.44x+2156.96=0
63.44x = 2156.96
X = 2156.96/63.44
x = 34
Get the profit
P(34) = -31.72(34)² + 2,156.96(34)- 26,391
P(34) = -36668.32+73336.64-26391
P(34) = 10,277.32
Hence the maximum profit that can be made is $10,277.32
pls help, ill give brainliest
Answer:
https://www.calculatorsoup.com/calculators/geometry-plane/polygon.php
that might help
Step-by-step explanation:
LAST QUESTION!!!!!!!!!!!
segment AB had a mid point at (-1,-1). point A coordinates (3,2). what are the coordinates of B?
Answer:
Just put the opposite coordinates on the other side of the segment and thats your answer!
Step-by-step explanation:
add all these numbers together im too lazy to
Answer:
874
Step-by-step explanation:
702 is correct
quick mathz
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 6% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.
In a lab experiment, the decay of a radioactive isotope is being observed.
At the beginning of the first day of the experiment, the mass of the substance was 1300 grams and the mass decreased by 6% per day.
What is the formula of the nth term?
[tex]a_n=a_1r^{n-1}[/tex]
Use the given value in the formula so we get,
[tex]a_{13}=1100(0.9)^{13-1}[/tex]
Simplify the given term
[tex]a_{13}=310.7[/tex]
Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.
To learn more about the nth term visit:
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Answer:
389
Step-by-step explanation:
What is the Alternate Hypothesis for the following situation:
At most 60% of American vote in the presidential elections.
Answer:
The alternative hypothesis is; Hₐ;
[tex]\hat p[/tex] > 60%
Step-by-step explanation:
The given hypothesis of the number of Americans that vote in the presidential election is;
Hypothesis; At most 60% of Americans vote in the presidential elections
Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%
The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =
The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%
Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.
what is the next term of the geometric sequence?
WILL MARK BRAINLIEST
Answer:
-12
Step-by-step explanation:
I believe they multiply each term by -3/1
4/1 * -3/1 = -12/1 = -12
PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM
Use the function f(x) = 2 sin x-1 to identify the following.
A. amplitude =
B. period =
C. midline=
Answer:
See below for answers
Step-by-step explanation:
Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?
Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].
Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].
Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.
1, 3, 5, 7,...
Find the 50th term of the sequence.
Answer:
99
Step-by-step explanation:
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51 ,53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99
Just go up 2 numbers 50 times
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
7x + 2y - 3 = 0 in slope intercept form.
Answer:
y=(-7/2)x+3
Step-by-step explanation:
7x+2y-3=0
7x+2y=3
2y=-7x+3
y=(-7/2)x+3
Answer:
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )
2y = - 7x + 3 ( divide each term by 2 )
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form
A point (–2, 6) is translated 4 units up. What are the coordinates of the new point?
Answer:
(-2,10)
Step-by-step explanation:
Which list of numbers is ordered from greatest to least?
A. –2 1/5, 2 1/4, 2.23, –2
B. 2 1/4, 2.23, –2, –2 1/5
C. –2, –2 1/5, 2 1/4, 2.23
D. –2 1/5, –2, 2.23, 2 1/4
Answer: B
Step-by-step explanation:
2 1/4 in decimal form: 2.25
-2 1/5 in decimal form: 2.20
B converted into decimals: 2.25, 2.23, -2, -2.20
Barnie hopped onto his bicycle and pedaled to the park at 15 miles per hour then he wizzed back at 20 miles per hour if the total trip took 7 hours how far was it to the park
5 yd
4 yd
6 yd
4 yd
9 yd
Answer:
thats nice??
Step-by-step explanation:
7556 divided by 3
Answer:
The answer is 2518.66666667.
Step-by-step explanation:
Answer:
If you meant 7556 divided by 3, then the answer is 2518 2/3
Step-by-step explanation:
A=4 b=3 and c=2 work out 2b-3ac
Answer:
-18
Step-by-step explanation:
2b-3ac
2(3)-3(4×2)
6-3(8)
6-24
-18
Find the area of the shaded region. The radius of the large circle is 10 m. Round answer to the nearest hundredth.
Answer:
hello the figure related to your question is missing attached below is the missing figure
answer : 157.08 m^2
Step-by-step explanation:
Calculate the area of the shaded area
= Area of the large circle - Areas of the small circles
= (( [tex]\frac{\pi }{4}[/tex] ) * D^2) - 2( ( [tex]\frac{\pi }{4}[/tex] ) * d^2 ) given that the small circles are congruent
= (( [tex]\frac{\pi }{4}[/tex] ) * 20^2 ) - 2 ( ( [tex]\frac{\pi }{4}[/tex] ) * 10^2 )
= 314.16 - 157.08
= 157.08 m^2
I need help with this.
Answer:
(3z+15) cm
Step-by-step explanation:
Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.
Mhanifa can you please help me? This is due asap! Look at the picture attached. I will mark brainliest!
Answer:
1. a = 16, b = 14
2. a = 16.5, b = 23.2
3. a = 7.25, b = 6.5
4. a = 8.4, b = 20
Step-by-step explanation:
Problem One:
2a + 6 = 3a - 10
6 = a - 10
16 = a
6b - 3 = 81
6b = 84
b = 14
Problem Two:
4a - 8 + 8a - 10 = 180
12a - 18 = 180
12a = 198
a = 16.5
8(16.5) - 10 = 5b + 6
122 = 5b + 6
116 = 5b
b = 23.2
Problem Three:
5b - 7 = 3b + 6
2b - 7 = 6
2b = 13
b = 6.5
2a = 3(6.5) - 5
2a = 14.5
a = 7.25
Problem Four:
3a + 1.8 = 4a - 6.6
1.8 = a - 6.6
8.4 = a
10(b + 8) = 10(1.4b)
10b + 80 = 14b
80 = 4b
20 = b
Answer:
Properties of a parallelogram
Opposite sides and angles are congruentDiagonals bisect each otherAdjacent interior angles are supplementary#13Opposite sides
2a + 6 = 3a - 10 ⇒ 3a - 2a = 6 + 10 ⇒ a = 166b - 3 = 5*16 + 1 ⇒ 6b = 81 + 3 ⇒ b = 84/6 ⇒ b = 14#14Opposite and adjacent angles
(4a - 8) + (8a - 10)= 180 ⇒ 12a= 180 + 18 ⇒ 12a= 198 ⇒ a= 16.5°5b + 6 = 8*16.5 - 10 ⇒ 5b = 122 - 6 ⇒ 5b = 116 ⇒ b = 116/5 ⇒ b = 23.2°#15Diagonals
5b - 7 = 3b + 6 ⇒ 5b - 3b = 6 + 7 ⇒ 2b = 13 ⇒ b = 6.52a = 3*6.5 - 5 ⇒ 2a = 14.5 ⇒ a = 7.25#16Opposite sides and alternate interior angles
1.4b = b + 8 ⇒ 0.4b = 8 ⇒ b = 8/0.4 ⇒ b = 203a + 1.8 = 4a - 6.6 ⇒ 4a - 3a = 1.8 + 6.6 ⇒ a = 8.4Kelly had a part-time job last year. She paid the state $234 in income tax. The state income tax rate is 5.2%. How much did Kelly earn?
Answer:
$4500
Step-by-step explanation:
Find how much she earned by dividing 234 by 0.052
234/0.052
= 4500
So, she earned $4500
Answer: see below
Step-by-step explanation:
Divide 234 by 5.2 to get one percent of her earnings, $45.
Multiply 45 by 100 to get 100% of her earnings, $4,500
If it asking for the gross earnings, leave it at $4,500
If it is asking for net earnings, subtract 234 from 4500 to get $4,266