Step-by-step explanation:
A + B = 0
A = -B
(-B)B) = -36
-B^2 = -36
B^2 = 36
B = 6, -6
So, A = -6, 6
A - B = -12
or
A - B = 12
Answer:
A - B = ± 12
Step-by-step explanation:
Given
A + B = 0 → (1)
AB = - 36 → (2)
Subtract B from both sides of (1)
A = - B ← substitute into (2)
- B(B) = - 36 ( multiply both sides by 0 1 )
B² = 36 ( take square root of both sides )
B = ± 6
Substitute into (1)
If B = 6 then A =- 6 and A-B = - 6 - 6 = - 12
If B = - 6 then A = 6 and A - B = 6 - (- 6) = 6 + 6 = 12
The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain
Answer:
Yes, the car was speeding the speed limit.
Step-by-step explanation:
The given equation to find the car's speed, s (in mph), is
[tex]s=\sqrt{30fd}[/tex]
where, d is the length of the skid and f is the friction factor.
Police measured a skid mark of 90 feet, so d=90
As the road is dry and of concrete, therefore the friction factor, f=0.8.
So, the speed of the car
[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph
The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.
Hence, the car was speeding the speed limit.
Nik scored 48 points in six games. How much did he score per game?
I
Answer:
8
Step-by-step explanation:
48/6 =8
PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
4 ( -x + 4 ) = 12
what is the value of x
Answer:
X=1
Step-by-step explanation:
Answer:
X = 1
Step-by-step explanation:
What is the value of 11,340 divided by 27
Answer:
420
Step-by-step explanation:
11340 / 27 = 420.
Plug it into your calculator.
One tank is filling at a rate of 5/8 gallon per 7/10 hour. What is the unit rate per hour?
Answer:
7.14
Step-by-step explanation:
hey ITSBLESIVGURL ill text you after school also what is 22+77?
Answer:
99
Step-by-step explanation:
cause im smart teehee
The weight of an object on the moon is of its weight on Earth. Write 1/6 as a decimal.
Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
Answer:
0.1666 continuing
Step-by-step explanation:
This is 1/6 as a decimal
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answer:
$ 2,273.25
Step-by-step explanation:
I need help on this problem I have 6 minutes left to solve this!.”
Chose 1 Answer:
A (1/3,2 5/6)
B (2/3,3 2/3)
C (-1/3,1 1/6)
D (-2/3,1/3)
Answer:
c
Step-by-step explanation:
bc ik
Steve earns $10.50 an hour working in a store. Last weekend
he earned a total of $73.50. Which equation can be used to
find n, the number of hours Steve worked last weekend?
Answer:
Steve worked 7 hours last weekend
Step-by-step explanation:
$73.50 (how much he earned during the weekend) ÷ $10.50 (how much he gets payed per hour) = 7 (how many hours he worked)
n=$10.50 x n
Which of the statements below is true for the following set of numbers?
20, 5, 50, 95, 75, 60
O The range and the midrange are equal.
O The range is 90 and the midrange is 45.
O The range is 95 and the midrange is 55.
O The range is 90 and the midrange is
Answer:
D
Step-by-step explanation:
The ratio of men to women working for a company is 3 to 2 . If there are 58 women working for the company, what is the total number of employees?
Answer:
145
Step-by-step explanation:
what is the value of 2x + 2(xy-z) where x=3, y=4 and z=-1
Answer:
32
Step-by-step explanation:
2(3)+2((3×4)-(-1))
=6+2(12+1)
=6+26
=32
simplify 5^-4/5^3
please help!! :)
Answer:
1/78125 or 0.0000128 or 5^-7
Step-by-step explanation:
Apply exponent rule: x^a/x^b = x^a-b
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Is the answer y=2x+3 ??
Answer:
y = -1/2x + 9
Step-by-step explanation:
y - 7 = -1/2(x - 4)
y - 7 = -1/2x + 2
y = -1/2x + 2 + 7
y = -1/2x + 9
What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?
:((((((((((((((((((
Answer:
132°
Step-by-step explanation:
Find the supplementary angle of 48°
To do this, subtract 48° from 180°
180 - 48 = 132°
Step-by-step explanation:
ABD = 180
[tex]180 - 48 = 132[/tex]
Round 11,900 to the nearest thousand.
Answer:
12,000
Step-by-step explanation:
the answer is 12,000 bc if its over 11,500 you round up and if its 11,400 then you round it to 11,000.
Select the correct answer.
What is the simplest form of this expression?
(2x + 1)(x2 - 9x+11)
OA. 2x3 - 19x2 + 11x + 11
OB. 2x3 - 17x2 + 13x + 11
OC. 2x2 + 18x2 + 22x+11
OD
2x3 - 18x2 - 9x + 11
Answer:
2x^3-17x^2+13x+11
Step-by-step explanation:
Answer:
2x^3 -17 x^2 + 13 x + 11
Step-by-step explanation:
I really need help asappp
Answer:
d
Step-by-step explanation:
Answer:I say D the other wont work so D
Step-by-step explanation:
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
x=y
Step-by-step explanation:
The answer is x=y if the slope is 1,1 | 2,2 | 3,3 | etc
Which expression is equivalent to 4x^2Sqrt5x^4 • 3sqrt5x^8, if x ≠ 0?
A) 12x^10sqrt5
B) 60x^8
C) 35x^18
D) 7x^10sqrt5
the equivalent expression is:
60*x^8
Which is option B.
How to get the equivalent expression?
Here we start with:
4*x^2*√(5x^4)*3*√(5x^8)
Remember that square roots are distributive, then we can just write:
(4*3)*(x^2)*(√(5x^4)*√(5x^8))
12*x^2*√(25x^12)
Now, the square root can now be solved
12*x^2*√(25x^12) = 12*x^2*5*x^6
= (12*6)*(x^2*x^6)
Remember that in the right side, the exponents just add, then we get:
(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8
Then the equivalent expression is:
60*x^8
Which is option B.
If you want to learn more about equivalent expressions:
https://brainly.com/question/2972832
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Nilda has $25 in her savings account. She plans to save 6.50 per week from her salary. Iona has $50 in her account but can save $13 per week from her paycheck. Nilda gets paid twice a month, but Iona only gets paid once a month. How many weeks will it take before the amount in each savings account is the same?
Answer:
3
Step-by-step explanation:
$25×6.50=152.5
50÷13=0.26
The slope between (250,120) and (300,90)
m = − 3/ 5 your welcome
Answer:I think it's -3/5
Step-by-step explanation:mhm
given the equation f(x)= -10x-4 and g(x)=6-2x, find f(x) - g(x)
Answer:
Step-by-step explanation:
[tex]f(x) = - 10x - 4[/tex]
[tex]g(x) = 6 - 2x[/tex]
_________________________________
[tex]f(x) - g(x) = [/tex]
[tex]( - 10x - 4) - (6 - 2x) = [/tex]
[tex] - 10x - 4 - 6 + 2x = [/tex]
[tex] - 8x - 10[/tex]
Thus ;
[tex]f(x) - g(x) = - 8x - 10[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
I need help and make sure to explain.
This is not rounding.
453.89
Would it be thousandths or hundredths? Explain why.
Kyle has 22 more cards than 3 times the number of cards that Stan owns. Together, they own less than 58 cards. How many cards are in stand collection?
A- Stan owns 9 cards or less
B- Stan owns 9 cards or more
C- Stan owns less than 9 cards
D- Stan owns more than 9 cards
Answer:
i think the answer is c
Step-by-step explanation:
22x3=66 66-58=8
In stand collection, Stan owns less than 9 cards.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Let x represnets the number of Kyle's cards and y be the number of Stan's cards.
We know that Kyle has 22 more cards than 3 times the number of cards that Stan owns, so:
k = 3s + 22 equation (1)
We also knows that together, they own less than 58 cards, so:
k + s < 58 equation (2)
Replace (1) in (2) and solve for :
s + 3s + 22 <58
s <58
Hence, Stan owns less than 9 cards.
Learn more about inequalities here:
https://brainly.com/question/27425770
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simplify
-2.5·4
thanks hhhhhhhhh
Answer:
-10
Step-by-step explanation:
-2.5 times 4
-10
Answer:
-10
Step-by-step explanation:
Multiply the number -2.5 * 4
= -10