Answer:
y = -1/2x + 5/2 or y = -0.5x + 2.5
Step-by-step explanation:
perpendicular lines have reciprocated slopes (opposite signs and values)
y = 2x + 1 → y = (-1/2x) + b
plug in (3,1) to find b
1 = -1/2(3) + b
1 = -1.5 + b
2.5 = b
y = -1/2x + 5/2 or y = -0.5x + 2.5
Answer:
y = -1/2 x +5/2
Step-by-step explanation:
y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope
We want a line perpendicular
Perpendicular lines have slopes that multiply to -1
m * 2 = -1
Divide by 2
m = -1/2
The slope of the perpendicular line is -1/2
y = mx+b
y = -1/2x +b
Using the point (3,1)
1 = -1/2 *3 +b
1 = -3/2 +b
Add 3/2 to each side
2/2 +3/2 = b
5/2 = b
y = -1/2 x +5/2
Can someone help pleassssssseeeeee!!!!!!!!!????????? ILL MARK BRAINLIEST!!!!
Answer:
[tex]b-17[/tex]
Step-by-step explanation:
So, Tanvi started with b buttons.
And she gave away 17.
Since she "gave away," this means that we should use subtraction.
Therefore, she now has b-17 buttons.
Our expression is:
[tex]b-17[/tex]
The Y is the diameter
Find Y
Area of the circle
Answer:
Y = 22.56 cmStep-by-step explanation:
To find the diameter Y of the circle we must first find the radius of the circle
Area of a circle = πr²
where
r is the radius
From the question
Area = 400cm²
Substitute the value into the above formula and solve for the radius
That's
400 = πr²
Divide both sides by π
We have
[tex] {r}^{2} = \frac{400}{\pi} [/tex]
Find the square root of both sides
[tex]r = \sqrt{ \frac{400}{\pi} } [/tex]
radius = 11.28 cm
Since we have the radius we can use it to find the diameter Y using the formula
diameter = radius × 2
radius = 11.28
Y = 11. 28 × 2
We have the final answer as
Y = 22.56 cmHope this helps you
find the distance between (-3,-5) (4,8)
Answer:
14.765 units
Step-by-step explanation:
distance formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 + 3)² + (8 + 5)²]
d = √(7²) + (13²)
d = √(49 + 169)
d = √218
d = 14.765
What is the square root of 5
Hey There!
Answer:
2.23Step-by-step explanation:
[tex]\sqrt{x} 5[/tex]= 2.23The square root of 5 is 2.23Hope this helps!!
Have a nice day!!:)
[✖‿X]
Answer:
Hey!
The square root of 5 is precisely 2.23606797749979
If you want to round it up...
(1.d.p) -- 2.2
(2.d.p) -- 2.24
(3.d.p) -- 2.236
I HOPE THIS HELPED YOU!
James truck shows that his average gas mileage per day is 29 miles per gallon of gas. If james drives about 87 miles each day about how much gas does he use in 14 days of driving
Answer: 42 gallons
Step-by-step explanation:
given data:
average gas mileage/day = 29miles/gallon
distance travelled each day by James = 87miles
How much gas does he use in 14days drive.
solution:
james drives 87miles daily, so in 14 days he would have travelled
= 87miles * 14
= 1218miles travelled.
gas used in 14days
1218miles distance traveled in 14 days
29miles/gallon
= 1218miles / 29miles
= 42gallons of gas have been used by janew to fuel his truck in 14days.
If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term? A) 12 B) 2 C) -35 D) 35
Answer:
B) 2
Step-by-step explanation:
a3 = 7 , d = -5 (GIVEN)
a4 = a3 + d
= 7 + (-5)
= 7 - 5
a4 = 2
HOPE IT HELPS (✷‿✷)
Answer:
[tex]\Huge \boxed{a_4=2}[/tex]
Step-by-step explanation:
The third term in an arithmetic sequence is 7.
The common difference is -5.
The common difference of an arithmetic sequence is found by subtracting a term in the sequence with the previous term.
[tex]d=a_4-a_3[/tex]
Solving for the fourth term.
[tex]a_4 = a_3 + d[/tex]
Plugging in the values and evaluating.
[tex]a_4=7+-5[/tex]
[tex]a_4=2[/tex]
The value of the fourth term is 2.
Can someone please help me with this question ASAP...
Answer:
A = 1.11
n = - 6
Step-by-step explanation:
[tex] \frac{0,0001\times 1,11}{0,1\times 10^4} = A \times 10^n\\\\
\frac{1\times 1,11}{1\times 10^4} = A \times 10^n\\\\
\frac{1,11}{10^4} = A \times 10^n\\\\
{1,11\times 10^{-4} } = A \times 10^n\\\\
{1.11\times 10^{-6} } = A \times 10^n\\\\[/tex]
Equating like terms on both sides :
A = 1.11
n = - 6
10 subtracted from the sum of a triple number and 12
Answer:
(3x+12)-10
Step-by-step explanation:
One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number and add the resulting number to the original number you get 88 . Find the original number
Answer:
62
Step-by-step explanation:
well, we start by expressing the number:
a b
we understand that using the above expression, the value of the number is 10a + b
using the information in the question,
a = 3b (1)
and,
11b + 11a = 88 (2) (derived using 10a + b form)
hence, when substituting (1) into (2):
11b + 33b = 88
44b = 88
b = 2 (3)
sub (3) into (1)
a = 6
hence, the number is 62
find
[tex] \frac{dy}{dx \: } of \: \frac{x {}^{2} }{a {}^{2} } + \frac{y {}^{2} }{b { }^{2} } = 1 \\ \\ if \: x = a \cos( \alpha \:) \: and \: \: y \: = b \sin( \alpha ) [/tex]
pls help me
Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
Is 6837 cm less than, greater than or equal to 68hm
Answer:
6837 cm is less than 68 hm
Step-by-step explanation:
1 hectometres = 100 meters
1 centimetres = 0.01 meters
Therefore;
6837 centimetres = 6837 × 0.01 meters = 68.37 meter
6837 centimetres = 68.37 meter
Also, we have;
68 hectometres = 68 × 100 meters = 6800 meters
68 hectometres = 6800 meters
Therefore,
6837 centimetres = 68.37 meter < 68 hectometres = 6800 meters
6837 centimetres < 68 hectometres
6837 cm < 68 hm
6837 cm is less than 68 hm.
the two legs of a right triangle are 33 and 56. The missing hypotenuse length is ?
Answer:
65
Step-by-step explanation:
a^2+b^2=c^2
33=a, 56=b
Put them into the equation, then do the algebra and solve it for c.
Answer:
65
Step-by-step explanation:
33²+56²=c²
1089+3136=c²
4225=c²
c=√4225
c=65
Please answer this quick
Answer:
x = 18
∠A = 83
Step-by-step explanation:
Since you have a line intersecting two parallel lines, the angles formed from the intersection will be equal to 180. This means that you can add up the two angle measures and set them equal to 180.
(6x - 35) + (3x + 53) = 180
6x - 35 + 3x + 53 = 180
9x + 18 = 180
(9x + 18) - 18 = 180 - 18
9x = 162
x = 18
Now to solve for ∠A, plug in the x-value and solve.
∠A = 6x - 35
∠A = 6(18) - 35
∠A = 118 - 35
∠A = 83
PLEASE HELP ME :(((((
Umar drove his taxi from Ipoh to Kuala Lumpur via the highway. He stopped at Tapah to
pick up some goods before proceeding to Kuala Lumpur. He drove from Ipoh to Tapah at an
average speed of 100 km/h over a distance of 60 km. If the average speed of his taxi from Ipoh
to Kuala Lumpur is 110 km/h over a distance of 220 km, calculate the average speed of Umar's
taxi from Tapah to Kuala Lumpur.
Answer:
approximately 114.28 km/h
Step-by-step explanation:
Distance = rate * time (d = rt)
The distance from Ipoh to Tapah is 60 km, and the rate is 100 km/h. Therefore, the time it took to drive from Ipoh to Tapah is:
60 = 100t
t = 0.6 hours
The total distance from Ipoh to Kuala Lumpur is 220 km, and the average rate is 110 km.
Therefore, the time it took to drive from Ipoh to Kuala Lumpur is:
220 = 110t
t = 2 hours
So since we know that the time taken to go Ipoh -> Tapah is 0.6 hours and the time taken to go Ipoh -> Tapah -> Kuala Lumpur is 2 hours, the time taken to go Tapah -> Kuala Lumpur must be:
2 - 0.6 = 1.4 hours
And the distance from Tapah to Kuala Lumpur must be:
220 - 60 = 160 km
So the speed driven from Tapah to Kuala Lumpur must be:
160 = r * 1.4
r ≈ 114.28 km/h
Answer:
114.3 km/h
Step-by-step explanation:
We need to find te average speed from Tapah to Kuala Lumpur.
speed = distance/time
We need to find the distance and time from Tapah to Kuala Lumpur.
Ipoh to Tapah:
100 km/h over a distance of 60 km
Ipoh to Kuala Lumpur:
110 km/h over a distance of 220 km
The total distance is from Ipoh to Kuala Lumpur.
speed = distance/time
distance = speed * time
time = distance/speed
time = 220 km / 110 km/h = 2 hours
Ipoh to Tapah.
time = distance/speed
time = 60 km / 100 km/h = 0.6 hour
Distance & time from Tapah to Kuala Lumpur:
220 km - 60 km = 160 km
2 hours - 0.6 hours = 1.4 hours
average speed from Tapah to Kuala Lumpur:
speed = distance/time = 160 km / 1.4 hours
speed = 114.3 km/h
(70) Find the volume. Don't forget your label.
Answer: If the lengths are 3 1/2, 2, and 4 2/3, the volume is 32 2/3
Step-by-step explanation:
3 1/2 * 2 * 4 2/3 = 32 2/3.
c. The cost price of 12 bananas is equal to the SP of 15 bananas.Find loss or gain percent.
Answer:
20% loss.
Step-by-step explanation:
Suppose the cost of each banana is $1
Then cost of 12 = $12.
You sell 15 bananas for $12, therefore the price of each banana is 12/15
= $0.80.
So the loss percent is (1 - 0.80) * 100
= 20%.
12-(4) - 1
2
Please helppp!!! :)
Answer:
17
Step-by-step explanation:
Simplify:
[tex]12\frac{1}{2} = \frac{25}{2}[/tex]
[tex]-4\frac{1}{2} = \frac{-9}{2}[/tex]
[tex]\frac{25}{2} - (\frac{-9}{2} ) = \frac{25}{2} + \frac{9}{2} = \frac{34}{2} = 17[/tex]
When you have a subtraction sign next to a negative number, the negative number will turn positive since it's understood as -1 multiplied by the number when it's a negative number.
7. Which of the following statements is NOT true? a. All integers are rational numbers. b. Some rational numbers are whole numbers. c. All whole numbers are natural numbers. d. All irrational numbers are real numbers.
Here, a,c and d are not true because,
a) all integers are not rational numbers because 2/10 is a rational number but not an integer.
c) all whole numbers are not natural numbers because 0 is not a natural number.
d) all irrational numbers are not real numbers because root2 is not a real number.
b) it is true.
Hope it was helpful,
pls mark this as a brainliest answer.
thank you.
^_^
Statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
As we know,
The integer can be defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.
A rational number is a sort of real number that has the form p/q and does not equal zero.
Thus, statements (1), (3), and (4) are correct these are NOT true after using the definition of the numbers.
Learn more about the number here:
brainly.com/question/17429689
#SPJ2
13. Distributive Property
3(x - 1) = 3x - ?
Answer:
[tex]\huge\boxed{3x-3}[/tex]
Step-by-step explanation:
[tex]3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}[/tex]
The distributive property is a very important property used in algebra.
It states that when we have the statement a(b + c), we can "distribute" the
a by multiplying a times both terms that are inside the parenthses.
So that would give us a(b) + b(c) or ab + bc.
The same process is done here.
Distribute the 3 through both terms to get 3(x) - 3(1) or 3x - 3.
Uma barraca de tiro ao alvo de um parque de diversão dará um prêmio de r$ 20ao participante cada vez que ele acertar o alvo por outro lado cada vez que ele errar o alvo da deverápagar r$ 10 não há cobrança inicial para participar do jogo um participante deu 80 tiros e ao final recebeu r$ 100 qual foi o número de vezes que esse participante acertou o alvo
Resposta: 30
Explicação passo a passo:
Dado o seguinte:
Preço para atingir a meta = $ 20
Penalidade por falta de alvo = $ 10
Se 80 tiros forem disparados e os participantes receberem $ 100.
Número de vezes que o participante atinge o alvo.
Deixe o número de erros = m
Deixe o número de acertos = h
h + m = 80 - - - - (1)
20h - 10m = 100 - - - (2)
h = 80 - m
Substitua h = 80 - m em (2)
20 (80 - m) - 10m = 100
1600 - 20m - 10m = 100
-30m = 100 - 1600
-30m = - 1500
m = 50
De (h = 80 - m)
h = 80 - 50
h = 30
Número de acertos = 30
O participante acerta o alvo 30 vezes
does this table show y as a function of x ?
: (-3,1) (0,-5) (4,7) (-3,0)
Answer:
No.
Step-by-step explanation:
The definition of a function is that every output (x) has only one input (y).
Here -3 gives two different outputs which contradicts the definition of a function.
A 15 foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the wall. How high up the wall is the ladder? Round to the nearest tenth if necessary.
Answer:
13.26
Step-by-step explanation:
The computation of the height should be computed by using the Pythagoras theorem
As we know that
Hypothenuse^2 = base^2 + height^2
where,
Hypothenuse is 15 foot
And, the foot of the ladder i.e base is 7
So now placing these values
The height is
15^2 = 7^2 + height^2
225= 49 + height^2
After solving this, the height is 13.26
mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest
Answer:
uttar pradesh
Step-by-step explanation:
see map
Answer:
S.No. State/ UT Wheat (Th. tonnes)
1 Uttar Pradesh 26,874
2 Madhya Pradesh 17,689
3 Punjab 16,081
4 Haryana 11,352
5 Rajasthan 9,871
6 Bihar 4,753
7 Gujarat 2,484
8 West Bengal 960
9 Uttarakhand 761
10 Maharashtra 758
Step-by-step explanation:
Refer this link for map!
HOPE IT HELPS AND THANK ME BY MARKING AS BRAINLIEST!
A chord subtends an angle 120° at the centre of the circle of radius 3.5cm. Find the perimeter of the minor sector.[r=22/7]
Answer:
Step-by-step explanation:as we know that arc length is
s=r*∅
as given angle in degree so convert it in radian we get
angle=2.09 rad
r=3.5 cm
hence we get
s=3.5*2.09 =7.315 cm
perimeter of sector = s +d where d=2*r=2*3.5=7 cm
perimeter of sector=7.315+7=14.315 cm
if you like it then hit the stars and tag it a brain-list
Simplify the following expression:
-6x + 4(-x - 3)
Answer:
[tex] - 10x - 12[/tex]
Step-by-step explanation:
[tex] - 6x + 4( - x - 3) \\ - 6x - 4x - 12 \\ - 10x - 12 \\ = - 2(5x + 6)[/tex]
Two fair dice are tossed together once. Find the probability that the sum of the outcome is at least 10
Answer: p = 1/6.
Step-by-step explanation:
First, we have two fair dice, so we have two events.
The number of outcomes for each dice is 6, then the total number of outcomes for the two dice is equal to the product of the number of outcomes in each event.
C = 6*6 = 36.
Now, the combinations that have a sum larger than 10 are:
4 and 6.
6 and 4
5 and 5
5 and 6
6 and 5
6 and 6.
So we have 6 outcomes where the sum of both numbers is larger than 10.
Now, the probability will be equal to the quotient between the number of outcomes where the sum is larger or equal than 10, and the total number of outcomes:
P = 6/36 = 1/6.
ASAP. please.. need answer. please
sugar is sold at MVR 4 1/2 per kg
find the cost of 10kg sugar.
if you got it correct will mark your answer as brainliest.
please help me.
Answer:
$45.00
Step-by-step explanation:
each kilogram of sugar costs $4.50
we want to find the cost of 10 kg
multiply the cost of 1 kg ($4.50) by 10 kg:
4.50*10=$45.00
The cost of 10 kg is $45.00.
8 mph above the speed limit. -8 8+8 8 8-8
Answer:
Below
Step-by-step explanation:
Hey there!
Well, 8 mph over the speed limit is speeding because you can only go 5 above.
If the speed limit is 40 it's okay to go 45 but bot 48.
Hope this helps :)
The cost to download music from an Internet site is shown.
According to the information in the table, which equation describes the relationship between the number of songs downloaded and the cost to download?
A. c = 1.5n
B. c = 1.5n + 25
C. c = 7.75n
D. c = 7.75n + 25
Answer:
Option (B)
Step-by-step explanation:
If we graph the points given in the table, a straight line is obtained which shows that the table given represents a linear function.
Let the two points on the graph are (4, 31) and (8, 37)
Slope of the line passing through these points,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{37-31}{8-4}[/tex]
= 1.5
Equation of the line passing through a point (4, 31) and slope = 1.5 will be,
y - y' = m(x - x')
y - 31 = 1.5(x - 4)
y = 1.5x - 6 + 31
y = 1.5x + 25
Therefore, Option (B) will be the answer.
Jeremy spends 44 minutes eating dinner with his family. Jeremy finishes eating dinner at 6:09. What time did the clock show when Jeremy started eating dinner?
Answer:
5:25
Step-by-step explanation:
Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.
6:09 is the same as 5:69.
6:09 = 5:69
Now subtract 44 minutes from 69 minutes.
5:69 = 0:44 = 5:25
Answer: 5:25
Answer:
5:25
Step-by-step explanation:
Borrow 1 hour from 6 hours, change it to 60 minutes, and add it to 9 minutes.
6:09 is the same as 5:69.
6:09 = 5:69
Now subtract 44 minutes from 69 minutes.
5:69 = 0:44 = 5:25
Answer: 5:25