Answer:
y = negative 2 (x minus one-half)
Step-by-step explanation:
The equation of a line is given as:
y = mx + c, where m is the slope and c is the intercept on the y axis.
The equation of a line going through (0, 1) and (1, - 1) is calculated using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ y-1=\frac{-1-1}{1-0}(x-0)\\ y-1=-2x\\y=-2x+1[/tex]
The solution of two lines is at their point of intersection. The equation of the line that would not have any solution with y = -2x + 1 would be a line that is parallel to y = -2x + 1. Since the two lines would be parallel to each other, their would be no intersection and therefore no solution.
Two lines are said to be parallel to each other if they have the same slope. The slope of y = -2x + 1 is gotten by comparing with y = mx + c, therefore the slope m = -2. From the options the only line with a slope m = -2 is y = -2(x -1/2). Therefore y = -2(x -1/2) is parallel to y = -2x + 1 and would have no solution
Answer:
b
Step-by-step explanation:
i did test
Small tug boats pull cruise ships up and down rivers to prevent them from grounding. Cruise ships anchor 22 km away from the river port. A tug boat can travel 20 km downstream in the same time it takes it to travel 10 km upstream. If the speed of the current is 5 km/h, calculate the time it takes for the tug boats to travel downstream from the river port to the cruise ship .
Answer:
1.1 hour or 1 hour and 6 minutes
Step-by-step explanation:
Time is given by the distance divided by the velocity. If the time it takes the tugboat to travel 20 km downstream in the same time it takes it to travel 10 km upstream, then:
[tex]t_1=t_2\\\frac{20}{v_b+v_c}=\frac{10}{v_b-v_c}\\v_c=5\ km/h\\20v_b-100=10v_b+50\\10v_b=150\\v_b=15\ km/h[/tex]
The velocity of the boat is 15 km/h. When traveling downstream, the current will favor the boat, therefore, the time required for it to travel 22 km downstream is:
[tex]t=\frac{22}{v_b+v_c} \\\t=\frac{22}{15+5}\\ t=1.1\ hour[/tex]
It will take the boat 1.1 hour or 1 hour and 6 minutes.
HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. How long is the book? _____=pages How long did it take Naoya to read the entire book?______=hours
total number of pages = 550 pages
total amount of time to read the full book = 10 hours
======================================================
Work Shown:
1 hour = 55 pages
4 hours = 220 pages ... multiply both sides by 4
After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall
550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.
While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.
Answer:
550 pages
10 hrs
Step-by-step explanation:
he reads 55 pages per hour
4 hrs* 55 pages/hrs=220 pages
the book is 550 pages long
220 pages+330=550 pages
to find the time to read the whole book:
330/55=6 hrs +4 hrs=10
or
550/55=10 hrs
What is the solution to the system of equations? y = –5x + 3 y = 1
a(0.4, 1) b(0.8, 1) c(1, 0.4) d(1, 0.8)
Answer:
A
Step-by-step explanation:
We know that the y-coordinate has to be 1 so we can eliminate options C and D. If we plug y = 1 into y = -5x + 3 to solve for x we get:
1 = -5x + 3
-2 = -5x
x = 0.4 so the answer is A.
Plz help(by solving for x)
Answer:
x = 5.85641
Step-by-step explanation:
Step 1: Find missing leg of left triangle
sin30° = x/16
16sin30° = x
x = 8
Step 2: Find missing leg of right triangle
8² + b² = 16²
b² = 192
b = 8√3
Step 3: Find x by taking the difference
8√3 - 8 = 5.85641
lathematics
1. There are 150 students in a college of whom 66 play
basketball, 45 play cricket and 42 play soccer, 27 play
exactly two of three sports & 3 play all of three sports,
How many of 150 play none of 3 sports?
Answer:
30 is the correct choice.
Step-by-step explanation:
150 = {baseball} + {cricket} + {soccer} - {exactly 2 sports} - 2*{exactly 3 sports} + {none of the ports}
150 = 66 + 45 + 42 - 27 - 2*3 + {none of the ports}
--> {none of the ports} = 30
Best Regards!
the square root of 181 lies between?
Answer: 13 and 14
Step-by-step explanation:
13^2=169
14^2=196
181 is between 169 and 196.
Thus, the square root of 181 is between 13 and 14
Hope it helps <3
Answer:
Between 13 and 14
Step-by-step explanation:
If we evaluate √181, we get 13.4536.
Alternatively, we know √181 is between perfect squares √169 and √196
√169 < √181 < √196
13 < √181 < 14
Nicole and Daniel are splitting a pizza. Nicole eats 1/4 of a pizza and Daniel eats 2/3 of it. How much is the pizza is left?
Answer:
The answer is 1/12
Step-by-step explanation:
Choose the inequality that represents the following graph.
+
H+
-5 -4 -3
+
4
-2 -1
0
1
2.
3
5
Choose 1 answer:
2<-4
23 -4
2 - 4
2-4
Answer:
x ≤ -4
Step-by-step explanation:
There is a closed circle at -4, which requires and equals sign
The line goes to the left, which is less than
x ≤ -4
Find the least common denominator for these
two rational expressions.
X/x^2-4
2x/x^2-8x+12
Answer: 2/4x
Step-by-step explanation:
Answer: x^2
Step-by-step explanation: X/x^2-4
2x/x^2-8x+12
solve this pls asap ...
Answer:
D. m∠C = 34, b = 25, c = 16
Step-by-step explanation:
If all you want is an answer, your friendly triangle solver can provide it. (See below)
__
When you have two angles and a side length, the law of sines can be helpful.
b/sin(B) = a/sin(A)
b = sin(B)/sin(A)·a = sin(119°)/sin(27°)·13 ≈ 25.04 ≈ 25
Similarly, you have C = 180° -27° -119° = 34°, so ...
c = sin(C)/sin(A)·a = sin(34°)/sin(27°)·13 ≈ 16.02 ≈ 16
These values match answer choice D.
m∠C = 34, b = 25, c = 16
What is the surface area of a sphere with a diameter of 16 cm?
Answer:
804.25 cm² (corrected to 2 decimal places)
Step-by-step explanation:
Radius = diameter / 2
= 16/ 2
=8 cm
Surface area of sphere = 4πr²
= 4π8²
=804.25 cm² (corrected to 2 decimal places)
If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?
Answer:
The answer is
the last graphStep-by-step explanation:
To find the graph which shows (f + g)(x) we must first find (f + g)(x)
That's
f(x) = - x² + 3x + 5
g(x) = x² + 2x
To find (f + g)(x) add g(x) to f(x)
That's
(f + g)(x) = -x² + 3x + 5 + x² + 2x
Group like terms
(f + g)(x) = - x² + x² + 3x + 2x + 5
We have (f + g)(x) as
(f + g)(x) = 5x + 5
Since (f + g)(x) is linear the graph which shows (f + g)(x) is the last graph
Hope this helps you
Answer:
last graph or D
Step-by-step explanation:
Find the approximate side lengths and perimeter of quadrilateral WXYZ. If necessary, round your answers to the nearest hundredth.
The approximate length of segment WX is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment XY is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment YZ is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate perimeter of quadrilateral WXYZ is [tex]\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right][/tex]
Answer:
The answer is given below
Step-by-step explanation:
Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)
The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:
[tex]|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Therefore, the side length of the quadrilaterals are:
[tex]|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47[/tex]
[tex]|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4[/tex]
The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units
Answer:
4.47,
2
4
14.47
Step-by-step explanation:
Three triangles are shown on the centimetre grid.
A
B
C
(a I already did)
b)
Work out the area of this triangle.
Give your answer as a decimal.
Answer:
C has the largest area. It is 4.5 square units.
Step-by-step explanation:
A:
area = bh/2 = 2 * 3/2 = 3
B:
area = bh/2 = 2 * 3/2 = 3
C:
area = bh/2 = 3 * 3/2 = 4.5
C has the largest area. It is 4.5 square units.
Can someone help me with this question please.
Answer:
x=88° a=+3 b=4a-3
Step-by-step explanation:
as triangles ADE and BCE are congruent by sss axiom
so correponding angles are equal
i.e<AED = <BEC
and <DAE =90-60
=30°
so
62°+x+30°=180°
therefore x=88°
Please answer this question now in two minutes
Answer:
LJ = CB
Therefore, CJ is 50km
Work out the mean for the data set below: 3004, 3007
Answer:
Hey!
Your answer would be 3,005.5!
Step-by-step explanation:
How did we get this?
Well to find the mean of a data set we...
ADD ALL THE VALUES UP and DIVIDE BY THE AMOUNT OF NUMBERS PRESENT...
So in this case...
WE DO: 3,004 + 3,007 = 6,011
NOW: DIVIDE BY 2...6,011 / 2
YOUR ANSWER IS 3005.5!
Hope this helps!
The mean for the data set given 3004, 3007 is, 3005.5
What is mean?In one of the branches of mathematics called statistics, We use one term known as mean; it generally tells us what is the central tendency of the data set.
Generally, we use three terms for measurement of central tendency like, mean, median, mode.
In simple words, mean is an average of all the dataset.
formula;
Mean = Sum of all the dataset/Total number of dataset
Given data set,
3004 & 3007
Mean = X₁+X₂/2
Mean = (3004+3007)/2
Mean = 3005.5
To know more about mean check:
https://brainly.com/question/29895356
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I take variable $b$, double it, and add four. I subtract $4b$ from this new expression, and divide the resulting difference by two. What is my final expression in simplest form?
Answer:
-b+2 or 2-b
Step-by-step explanation:
We first obtain 2 * b + 4. Next, we get 2b + 4 - 4b = -2b +4. Dividing this by two, we have -2/2b + 4/2 = 2/2 b + 4/2.
The final expression obtained after given operations is 2 - $b$.
What are linear expressions?Linear expressions are expressions involving constants and variables.
How do we solve the given question?We are given that the person takes a variable $b$, doubles it, and adds four to it. He subtracts $4b$ from this and then divides the whole by 2.
So, we perform these operations on our variable $b$, to obtain the linear expression.
Variable: $b$
Doubles it, that is we multiply it by 2: 2*$b$
Adds 4: 2$b$ + 4.
Subtracts $4b$: 2$b$ + 4 - $4b$ = 4 - $2b$
Divides by 2: (4 - 2$b$)/2 = 2 - $b$
The expression now: 2 - $b$.
∴ The final expression obtained after given operations is 2 - $b$.
Learn more about linear expressions at
https://brainly.com/question/14323743
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The diagram shows an incomplete polygon. How do I determine whether it is a regular polygon or not? How should I write my reasoning?
Answer:
see explanations below.
Step-by-step explanation:
The shown sides are all equal.
If it is a regular polygon, it must have all interior angles equal, and all sides equal.
IF
all sides are equal and all angles are equal,
THEN
it is a regular polygon, with 12 sides, because in regular polygons, all exterior angles are equal, and add up to 360 degrees.
No. of sides = 360/(180-150) = 360/30 = 12 sides.
What is the equation of the following line written in slope-intercept form?
(1,5)
Oy=-5x
Oy= 5x
Oy=5/x
Answer:
y = 5x
Step-by-step explanation:
The y intercept is 0 since it crosses the y axis at 0
The slope is rise over run
From (0,0) we go up 5 and to the right 1
5/1 = 5
Slope = 5
The slope intercept equation is
y = mx+b where m is the slope and b is the y intercept
y = 5x+0
y = 5x
Answer:
y=5x
Step-by-step explanation:
(02.03 M)
Write the equation of a function whose parent function, f(x) = x + 6, is shifted 4 units to the right.
Answer:
[tex]\boxed{f(x) = x + 2}[/tex]
Step-by-step explanation:
The translation is horizontal translation.
The value of x is subtracted from 4, since the function is shifted 4 units to the right.
f(x - 4)
f(x) = (x - 4) + 6
f(x) = x + 2
In the diagram, what is the measure of angle 1 to the nearest degree? a) 82° b) 92° c) 94° d) 98°
Answer:
98
Step-by-step explanation:
7x+4 = 88 because they are vertical angles and vertical angles are equal
7x = 88-4
7x = 84
Divide by 7
7x/7 = 84/7
x = 12
<1 and 7x-2 are supplementary angles since they form a line
<1 + 7x-2 = 180
<1 + 7(12) -2 = 180
<1 +84-2 =180
<1 +82 = 180
<1 = 180-82
<1 = 98
Answer-
98
step by step explanation -
7x+4=88
7x=84
x=12
7x-12=7*(12)-2=82
angle 1=180-82 =
98a) A graph is drawn below.
Explain how you know that y is not directly proportional to x.
Step-by-step explanation:
y isn't directly proportional with x because the graph doesn't cross O the origin, it starts from a y-intercept wich is not a property for proportional portions
Calculate the total surface area of a pipe with inner surface area 1508.5 square cm, outer surface area 2514.2 square cm, and inner radius 3 cm and outer radius 5 cm. *
Answer:
The total surface area of the pipe is 4123.31 cm²
Step-by-step explanation:
Total surface area (TSA) of a pipe is calculated as;
Outer area of the pipe + Inner area of the pipe + cross section of the two ends
TSA = 2πRL + 2πrL + 2π(R² - r²)
TSA = 2π(RL + rL + R² - r²)
where;
R is the outer radius
r is the inner radius
L is length of the pipe
Determine the length of the pipe
Outer surface area of the pipe is calculated as;
outer surface of the pipe = 2πRL
2514.2 = 2πRL
2514.2 = (2π x 5) L
2514.2 = 31.42 L
L = 2514.2 / 31.42
L = 80.02 cm
Finally, determine the total surface area of the pipe
TSA = 2π(RL + rL + R² - r²)
TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)
TSA = 2π(400.1 + 240.06 + 16)
TSA = 2π(656.16)
TSA = 4123.31 cm²
Therefore, the total surface area of the pipe is 4123.31 cm²
The company profits increased 20% from last year. If the profits last year were $2,500, what are the company's profits this year? A. $30 B. $300 C. $5,000 D. $3,000
Step-by-step explanation:
last years was $2500.00
20% of $2500 = $500.00
profit this year is $3000.00
Answer:
D
Step-by-step explanation:
HELPPP ME PLEASEEEEEEEEE
Answer:
7. a = 50 degrees
b = 50 degrees
c= 50 degrees
d = 75 degrees
8.
Step-by-step explanation:
7.
a. Vertically opposite angles are equal
b. Vertically opposite angles are equal
c Alternate angles
d. Angles on a straight line.
8. 45 + 45 + 65 + 35 + 40 + 30 = 200m
Hope this helps
Gassim bought 2L of colour paints to paint a wall of a villa. He already had 0.75L of colour paint. If he uses 2/5 of colour paints , find the amount of colour paints left?
THNXX for answering : )
Answer:
0.45 litres
Step-by-step explanation:
2/5 multiplied by 2 = 0.8
0.8+0.75= 1.55
2-1.55 = 0.45
Solve the proportion 6 / 18 = p / 36
Answer:
[tex] \frac{6}{18} = \frac{p}{36} \\ p = 36 \times \frac{6}{18} \\ p = 12[/tex]
if i were to divide 15.34 by 1.64 what would it be
Answer:
9.35975609756
Step-by-step explanation:
Its about this I just put it into a calculator
Answer:9.353658
Step-by-step explanation:
Michael and Tyler both ran a half marathon Michael finished in 1 hour 42 minutes and 13 seconds Tyler finished in 97 minutes and 49 seconds who was faster how much faster was he?
Answer:
Step-by-step explanation:
From the question, we are informed that Michael and Tyler both ran a half marathon and that Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 97 minutes and 49 seconds.
First, we should know that 60 minutes makes 1 hour, therefore we need to change Tyler's time taken to finish the marathon appropriately. Since Tyler finished in 97 minutes and 49 seconds, this will be converted to 97 minutes equals 1 hour 37 minutes. Therefore, Tyler used 1 hour, 37 minutes and 49 seconds.
Since Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 1 hour, 37 minutes and 49 seconds. We can see that Tyler is faster than Michael.
To know how much faster Tyler was, we subtract Tyler's time from Michael's. This will be:
= (1 hour, 42 minutes 13 seconds) - (1 hour, 37 minutes, 49 seconds)
= 4 minutes, 24 seconds.
Tyler was faster by 4 minutes, 24 seconds.