This equation has infinite solutions, any real number makes it true.
Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coordinates of point U.
Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
I need help really quick!!!
Will mark branliest if correct.
Answer:
5 21/30
Step-by-step explanation:
4/30 + 12/30 + 5/30 + 4 + 1
An equilateral triangle has a side length of 12sqrt(3) inches. What is the length of the altitude of the triangle?
HELP ASAP
Answer:
18 inches.
Step-by-step explanation:
Let x inches be the altitude of the triangle.
By Pythagoras Theorem,
[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2
108 + x^2 = 432
x^2 = 324
x = 18
So the altitude of the triangle is 18 inches.
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 11%. After 11 years, the interest earned on the account was $11,000. How much money did Mike's grandmother deposit in the account?
What is the equation for proportions? What does each letter represent?
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."
Step-by-step explanation:
look at the attachment.
10 x 1/10 brainliest if answer not 1
Answer:
10/10
Step-by-step explanation:
a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
please help asap!! giving brainliest
Answer:
f g e is the answer
Step-by-step explanation:
Answer:
All you have to do is subtract by the corresponding attributes and answer each accumulation
Step-by-step explanation:
MULTIPLE CHOICE HELP ASAP! Brainliest for correct answer.
Please only answer if you understand the question :)
Which equation goes with the circle?
Answer:
An equation of the circle with centre (-2,1) and radius 3 is [tex]\mathbf{(x+2)^2+(x-1)^2=9}[/tex]
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9[/tex]
So, an equation of the circle with centre (-2,1) and radius 3 is [tex]\mathbf{(x+2)^2+(x-1)^2=9}[/tex]
Option D is correct.
Which congruent theorem can be used to prove..
Answer:
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.
Order 0.5 , 0.66 , -1.5 , -1.25 from least to greatest
Answer:
-1.25, -1.5, 0.5, 0.66
hope it helps you
Jolie purchased a concert ticket on a web site. The original price of the ticket was $110. She used a coupon code to receive a 15% discount. The web site applied a 10% service fee to the discounted price. Jolie’s ticket was less than the original price by what percent?
Answer:
10 percent
Step-by-step explanation:
i took a test
A scuba diver dove from the surface of the ocean to an elevation of -499 feet at a rate of –10.5 feet per
10
9
minute. After spending 13 minutes at that elevation, the diver ascended to an elevation of -28 feet.
10
1
The total time for the dive so far was 20 minutes. What was the rate of change in the diver's elevation
8
during the ascent? Round your answer to the nearest hundredth.
write the following numbers in order from least to greatest . -1, 1.75, -1.75, -2, -2 1/2, -5/2, 9/4 I NEED HELP ASAP PLEASE
Step-by-step explanation:
-5/2
-2
-1.75
-1
1/5
1.75
9/4
Mark as brainlist . kindly
Which equation is a linear function?
y= 2 + 3
y = 22 - 1
y= 22 +7
what is 8÷530 TYPE FAST
Answer:
0.0150
Step-by-step explanation:
8÷530
0.0150
it is correct
Students were asked to choose their favorite sport
and 5/9chose either basketball or soccer. If 1/9 of the
students chose basketball, what fraction chose
soccer?
Answer:
5/9-1/9=4/9
Step-by-step explanation:
5/9 chose basketball or soccer. 1/9 chose basketball.
answer is 4/9Seven more than three times a number is thirty-one. Write an equation
and solve for the unknown number.
Answer:
As an equation, (we'll use x as the variable), that word problem is 3x+7=31.
To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.
Solve using elimination.
5x + 7y = -6
4x + 7y = -9
Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?
enter the value of 3/4 + 7/12 - ( -4 )
Answer:
16/3 or 5.33
Step-by-step explanation:
3/4+7/12+4/1= 16/3 = 5.33
Answer:
Step-by-step explanation:
Exact Form:
16/3
Decimal Form:
5.3....
Mixed Number Form:
5 1/3
What is the best estimate
4.79 + 13.02
Answer:
17.81, but I would estimate 17.80 so it doesnt look exact.
Step-by-step explanation:
Translate the statement into an algebraic expression. (Use "w" as a variable. Do not use "$" in your answer.
Mike had $184 and he is earning $50 per week.
Answer:
Cost = 184+50w
Step-by-step explanation:
Given statement is "Mike had $184 and he is earning $50 per week".
Here, $184 is fixed and $50 increases per week.
Let w is the variable.
ATQ,
Cost = 184+50w
Hence, the algebraic expression for the given statement is 184+50w.
If you draw a card with a value of four or less from a standard deck of cards, I will pay you $162. If not, you pay me $45. (Aces are considered the highest card in the deck.) Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
the expected value of the proposition is 2.77
Step-by-step explanation:
The computation of the expected value of the proposition
= 162p - 45(1 - p)
= 162 × 12 ÷ 52 - 45 × (1 - 12 ÷ 52)
= 2.77
Hence, the expected value of the proposition is 2.77
So we simply do the above calculation so that the expected value could come
True or false: (x−6) is a factor of 4x3−18x2+3x−13.
Answer:
The answer is false
need help asap please
Answer:
[tex]\displaystyle yes[/tex]
Step-by-step explanation:
By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.
I am joyous to assist you at any time.
Helppppppppppppppppppppppp please
Answer:
A
Step-by-step explanation:
Two Squares
There are 2 squares at the top and bottom. All sides = 3
2* s^2
2 * 3^2
2 * 9
18
Middle Figure.
Triangles
There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.
Base of both triangles = 5 + 5 = 10
The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.
Area = 1/2 * 2 * 10 = 10
But there are 2 of them so the total area is 20
Rectangle
The length of the rectangle = 5 + 5 = 10
The width = 3
Area = 30
Total
Total Area = 2 squares + 2 triangles + 1 rectangle
Total Area = 18 + 20 + 30 = 68
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 4.9 millimeters (mm) and a standard deviation of 1.2 mm. For a randomly found shard, find the following probabilities. (Round your answers to four decimal places.)
(a) the thickness is less than 3.0 mm
(b) the thickness is more than 7.0 mm
(c) the thickness is between 3.0 mm and 7.0 mm
Answer:
a) The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b) The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c) The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
Step-by-step explanation:
Step(i):-
Given mean of the Population (μ) = 4.9 mm
Standard deviation of the Population(σ) = 1.2 mm
a)
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]
The probability that the thickness is less than 3.0 mm
[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]
= 1 - ( 0.5 + A(1.583)
= 0.5 - A(1.583)
= 0.5 - 0.4430
= 0.057
The probability that the thickness is less than 3.0 mm
P(X<3.0) = 0.057
b)
Let 'X' be the random variable in normal distribution
[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]
The probability that the thickness is less than 7.0 mm
[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]
= 0.5 - 0.4599 ( from normal table )
= 0.0401
The probability that the thickness is less than 7.0 mm
P(X>7) = 0.0401
c)
Let 'X' be the random variable in normal distribution
[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]
[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7) = P( - 1.583 < X < 1.75 )
= A( 1.75 ) + A( -1.583)
= A(1.75)+A(1.583)
= 0.4599 + 0.4430
= 0.9029
The probability that the thickness is between 3.0 mm and 7.0 mm
P( 3 < x < 7)= 0.9029
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,2) and (1, -2)
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (1, - 2)
d = [tex]\sqrt{(1-4)^2+(-2-2)^2}[/tex]
= [tex]\sqrt{(-3)^2+(-4)^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Which of the following values of d will result in a true statement when substituted into the given equation?
d + 3(2 – d) = 2
A. d = 0
B. d = 1
C. d = 2
D. d = 5
Answer:
Answer is D=2
Step-by-step explanation:
because when i divide variables it gets me the answer
Answer:
it right
Step-by-step explanation: