Answer: {-14,-26}
Step-by-step explanation:
Let x be the number.
Given statements: If 20 is added to the number, the absolute value of the result is 6.
i.e. |x+20| =6
Since [tex]|y|=c \Rightarrow y= c \text{ or } y = -c[/tex]
So, [tex]|x+20| =6\Rightarrow\ x+20=6\text{ or }x+20=-6[/tex]
[tex]\Rightarrow\ x= 6-20\text{ or } x= -6-20\\\\\Rightarrow\ x=-14\text{ or } x=-26[/tex]
hence, set of values of x = {-14,-26}
the sum of two numbers is-5.When twice the first number is added to the second number the result is -2,find the two numbers
Answer:
Step-by-step explanation:
First write the question as an equation
x+y = -5
2x+y = -2
From the given equations, we can create a third one.
x+y+2x+y = -7 or 3x+2y = -7
Use trial and error method for the possible values x and y
We know that at least one of these two have to be negative.
x can be 1, in which case y has to be 5.
Check this for
x+y ≠ -5
x can be -1
Try another one where x = -1 and y has to equal -2
Check this
X
x+y = -5
but,
2x+y ≠ -2
Another one,
Answer:
3 and -8
3 x 2 = 6
6 + -8 = 2
3 + -8 = 5
You have to find out which numbers add up to -5
Mainly trial and error
Step-by-step explanation:
Which is the distance betweeen parallel lines with the equations 3x - 5y = 1 and 3x-5y=-3
Answer:
Distance between the two parallel lines
[tex]d = \frac{4}{\sqrt{34} } = 0.6859[/tex]
Step-by-step explanation:
Step(i):-
Given the two equations are 3 x - 5 y = 1 ...(i)
and 3 x - 5 y = - 3....(ii)
Distance between the two parallel lines
[tex]d = \frac{|C_{1} - C_{2} | }{\sqrt{a^{2}+b^{2} } }[/tex]
Given equations
a = 3 , b = -5 and C₁ = 1 and C₂ = -3
Step(ii):-
Distance between the two parallel lines
[tex]d = \frac{|C_{1} - C_{2} | }{\sqrt{a^{2}+b^{2} } }[/tex]
[tex]d = \frac{|1 - (-3)| }{\sqrt{9+25 } }[/tex]
[tex]d = \frac{4}{\sqrt{34} }[/tex]
Final answer:-
Distance between the two parallel lines
[tex]d = \frac{4}{\sqrt{34} }[/tex]
Answer:
The Answer is C. The person above is almost correct, but they did not simplify to 2sqrt34/17
Step-by-step explanation:
Solve for the width in the formula for the area of a rectangle.
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
Answer:
2.5
Step-by-step explanation:
42/16.8=2.5
Answer:
w=A/I
2.5in
Step-by-step explanation:
This is the full answer
Dana has to pay 10% tax on any income above £18,000 per year. Dana is paid £24,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£21,600
Step-by-step explanation:
First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.
this is simple! hope u guys can do it so i can give out brainliest!!
Answer:
A) 27.6
B) 978.3
C) 42.9
D) 9
Step-by-step explanation:
I'm pretty sure its suppose to b 1 answer but i didn't do this question.
Answer:
A)= 27.6 B)= 978.3 C)= 42.9 D=9
Step-by-step explanation:
What is the decimal multiplier to decrease by 6.9%
Step-by-step explanation:
it is 1 - 6.9/100 =0.931
What is the height of the prism if there is 3 meters,2 meters,and 36 cubic meters
Answer:
hope its what you are searching for....
The segments shown below could form a triangle.
sorry i don,t unerstan what u wn,t
A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting is 8 cm across. Each time he extends the saw out with his arm, there is 5 cm of blade between the handle and the wood. When he pulls the saw toward his self with his arm, the saw handle is 25 centimetres from the wood. Each time he extends his arm out and pulls it back in, 1 second has passed. He starts with his arm extended out. Write an equation that models how far the tip of the saw is from the wood in terms of time.
Answer:
The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17
Step-by-step explanation:
The given parameters are;
Length of the saw blade = 40 cm
Thickness of the wood across = 8 cm
Length of blade between wood saw handle with hand extended = 5 cm
Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm
Length of blade between wood saw handle with saw pulled inwards = 25 cm
Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm
Time for one complete cycle = 1 second
We note that the basic equation for oscillatory motion is of the form;
x(t) = A·cos(ωt) + d
Where:
A = Amplitude of the motion = (27 - 7)/2 = 10 cm
ω = Angular frequency = 2·π/T
ωt = Motion's phase
t = Time of the motion
d = The middle location = 27 - 10 = 17 cm
T = The time to complete a cycle = 1 s
Therefore;
ω = 2·π
Given that he stars with his arm extended out, we have;
27 = 10×cos(2×π×0) + 17
Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.
PLS HELP ME IMA GIBE BRAINLIST AND A LIKE
Answer:41.7
Step-by-step explanation:let the unknown percent be x
X\100 of 48=20
X/100 x 48 =20
48x/100= 20
Cross multiply
48x =100 x 20
48x = 2000
Divide both sides by 48
X= 2000/48
X= 41.7
The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?
Cheddar Corn Caramel Corn
10 15
20 30
30 45
Answer:
The constant of proportionality is 15/10 = 1.5.
The answer is 1.5.
The reason is because
10 x 1.5 = 15,
20 x 1.5 = 30,
30 x 1.5 = 45.
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Calculate the expected gain or loss for stock ABC
Answer:
Lose $25, Gain $5, Gain $45, Stock ABC 40%, 15%, 45%, Stock JKL 15%
Step-by-step explanation:
SOMEONE HELP!! I will mark you as brainlist!!!
Answer:
Step-by-step explanation:
In arithmetic progression common difference is given by
d = nth term - (n-1)th term.
In geometric progression common ratio is given by
r = nth term / (n-1)th term.
Another thing important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.
we will be using this concept to solve this problem.
________________________________
Let look at the problem
series
11, 6 ,1
Lets try to find common difference for this series
common difference of third and second term = 1-6 = -5
common difference of second term and first term = 6 -11 = -5
Thus, we see that common difference is same in both case ,
hence it can be concluded that series is Arithmetic progression.
another way to validate this is
nth term of AP is given by
nth term = a + (n-1)d
where a is first term
lets try to find third term using this formula and using d = -5 and a = 11
3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1
Thus, we see that third term calculated is same as given in series i.e 1
Hence series is Arithmetic progression validated as well.
______________________________________________
Problem is solved but lets see if the series is GP or not
common ratio of third and second term = 1/6 = 1/6
common ratio of second term and first term = 6 /11
Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.
Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.
It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.
Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:
= 32 + 115 + 33
= 180°
Read related link on:
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Answer:
Step-by-step explanation:
It's B
A ball is thrown in air and it’s height, h(t) in feet, at any time, t in seconds, is represented by the equation h(t) =-t^2+7t. When is the ball higher than 10 feet off the ground?
Answer:
The ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds
Step-by-step explanation:
In the above question, we are given the equation:
h(t) =-t²+7t.
We are asked to find the time (t) when the ball will be higher than 10 feet.
h(t) = height = 10 feet.
So we have:
10 = -t² + 7t
t² - 7t + 10 = 0
We have a quadratic equation hence we factorise.
t² - 5t - 2t + 10 = 0
(t² - 5t) +(2t - 10)= 0
t(t - 5) + 2 (t - 5) = 0
(t - 2) (t - 5) = 0
t - 2 = 0, t = 2
t - 5 = 0, t = 5
t = 5 and t = 2
Therefore, the ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds.
Solve for x 9 3 12 11
Answer:
12
Step-by-step explanation:
By tangent secant theorem intersecting outside of a circle, we have:
[tex] {x}^{2} = 6 \times (6 + 18) \\ {x}^{2} = 6 \times 24 \\ {x}^{2} = 144 \\ x = \sqrt{144} \\ x = 12 \\ [/tex]
Which expression is equivalent to p q? p + q p minus q StartFraction p Over q EndFraction q p answer i giveing branily
Answer:
qp
Step-by-step explanation:
Given
pq
Required
Find an equivalent expression
The rule that's applicable to this question is the multiplicative property;
The multiplicative property states that:.
ab = ba
Using the same logic in this case;.
pq will be equivalent to qp.
Take for instance;
21 * 18 = 18 * 21 = 378
37 * 19 = 19 * 37 = 703
m * y = y * m
So, from the list of given options, the correct answer is qp
Answer: the correct answer is qp just did quiz
Step-by-step explanation:
HURRY PLEASE!!!!
in circle O, line SU is a diameter. what is the measure of arc ST?
100°
108°
130°
160°
Answer:
130
Step-by-step explanation:
In a class full of men and women, 2 /9 of the class are women. What is the ratio of men to women in its simplest form?
Answer:
7:2
Step-by-step explanation:
2/9= women
9/9= total of men and women
7/9= men
men to women (use the numerators)
7:2
Answer:
7:2
Step-by-step explanation:
2/9 are women.
1 - 2/9 = 7/9
7/9 are men.
Put up a ratio of men to women.
7/9 : 2/9
Simplify.
63:18
7:2
n a certain congressional district, it is known that 60% of the registered voters classify themselves as conservatives. If ten registered voters are selected at random from this district, what is the probability that four of them will be conservatives
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6
The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4
Given n = 10, we want to determine P(x = 4)
From the binomial distribution calculator,
P(x = 4) = 0.11
Simple and easy question
Please help me need quick
Step-by-step explanation:
given,radius =5 m
height =8 m
now, v=pi×r^2×h
=(3.14×5^2×8)m^3
=628m^3
therefore the volume is 628m^3 is the answer
A linear function has a y-intercept of -12 and a slope of 2. What is the equation of the line?
What is the H.C.F of 105, 135 and 180?
A. 13 B,15 C. 17 D. 19 E. 21
Answer:
b
Step-by-step explanation:
Seeing that all of the numbers are multiple of 5, the answer should be 15 because the other answers don't have 105, 135 or 180 as a multiple
3- Product of two expressions H.C.F=
A. H.CF
B. L.C.M
C. H.C.F + L.C.M
D. H.C.P x L.C.M
(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.
Answer:
12 × 15
15×12
9 ×20
Ans=180
help!!!
evaluate 0.2m + 6 - 4n when m=20 and n= 1/2
Answer:
Step-by-step explanation:
0.2(20)+6-4(1/2)=4+6-2=8
Answer:
0.2(20)+6-4(112)=4+6-2=8
Answer this question in one minutes
Answer:
see below
Step-by-step explanation:
We can name it by the vertex alone <Q
Or by three letters
<PQR or <RQP
18+19+20+21+22+23+...................+52
Answer:
1194
Step-by-step explanation:
Answer:
The answer is 1194
Step-by-step explanation:
It goes up by one point each so if you add all the numbers from 18 thru 52 you would get the answer.
PLEASE HELP!!
It’s asking for the measure of Arc KL in degrees
Answer:
30 degrees
Step-by-step explanation:
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Oy= 1-X
Oy =-x-1
Oy=x-1
Answer:
y = x-1
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y= 1x -1
y = x-1
The slope intercept form is,
y = x -1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, The slope intercept form is
y = mx + b
where m is the slope and b is the y intercept
Here, We have;
The slope of a line is 1, and the y-intercept is -1.
Hence, We get;
The slope intercept form is,
y = 1x -1
y = x - 1
Thus, The slope intercept form is,
y = x -1
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please help dont know how to do
Answer:
-3
Step-by-step explanation:
We can use any two points in the table and the slope formula
m = (y2-y1)/(x2-x1)
Using ( (0,4) and ( -2,10)
= ( 10 -4)/(-2 -0)
= 6/-2
= -3
Answer:
B. -3
Step-by-step explanation:
If you were to put it into a problem
-2x + 4
(the 4 because that's where it intercepts the y axis)
and if you were to substitute in 4 for the x you would get
-2(4) + 4 = -4 which wouldn't give you -8
so now you try -3x + 4
Then substitute 4 for x
-3(4) + 4 = -8 so then you would substitute 6 by four just to be sure
-3(6) + 4 = -14 so the answer would be B.