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[tex] f(x) = \sqrt{2x - 10} [/tex]
[tex]Domain \: \: : \: 2x - 10 \geqslant 0[/tex]
Add sides 10
[tex]Domain \: \: : \: \: 2x - 10 + 10 \geqslant 10 \\ [/tex]
[tex]Domain \: \: : \: \: 2x \geqslant 10[/tex]
Divided sides by 2
[tex]Domain \: \: : \: \: \frac{2}{2}x \geqslant \frac{10}{2} \\ [/tex]
[tex]Domain \: \: : \: \: x \geqslant 5[/tex]
Done...
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the area of a trapezium is given by the formula A=1/2h(a+b), where h is the height and a and b are the measures of the two bases. what is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?
Answer:
[tex] h = 4.8 \: inches.[/tex]
Step-by-step explanation:
[tex]A= \frac{1}{2} h(a+b) \\ h(a + b) = 2A \\ h = \frac{2A}{(a+b)} = \frac{2 \times24 }{4 + 6} \\ h = \frac{48}{10} \\ h = 4.8 \: inches.[/tex]
Answer:
h=4.8
Given:
area=24 , a=4 , b=6
To find:
height
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] × h(a+b)
24 = [tex]\frac{1}{2}[/tex] × h(4+6)
24 × 2 = h(10)
48 = 10h
48/10 = h
h=24/5
h=4.8
therefore, height of the trapezium is 4.8
hope it helps you!
Alecia placed the numbers 0, 2, 14, -8, and -11 on the number line. Which of the numbers is furthest from zero?
Answer:
14
Step-by-step explanation:
i need help with this asap!homework is due tomorrow.
Answer:
If triangle ABC is a right angled triangle,right angled at C
AB²=AC² + BC²
Pls mark me brainliest
Step-by-step explanation:
You bike 16.2 miles in 1.8 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answer:
9x
Step-by-step explanation:
You have to subtract both of the numbers and simplify it.
Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.
Answer :
m = 3
Point = (4,-1)
x1 = 4
y1 = -1
Formula =
y - y1 = m (x-x1)
y - (-1) = 3 (x -4)
y + 1 = 3x -12
y - 3x + 1 + 12 = 0
y - 3x + 13 = 0
The line = y - 3x + 13 = 0 or -3x + y + 13 = 0
I'm sorry if I'm wrong.
Cmiiw
Good luck
Love from Indonesia
y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=3
We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)
-1=3(4)+b
-1=12+b
-1-12=b
b=-13
y intercept is -13
Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
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ryan deposited 4,000$ into his savings account at the interest rate of 4%for 5 years ate the end of the 5 years how much money would be in ryan's account worksheet
Answer:
$4,800
Step-by-step explanation:
you take $4000 and multiply by .04 to get interest for one year. Then multiply by 5 for the years and that is $800. and $800 + $4000 - $4800.
What is the domain of h^-1(x)
Answer:
(-∞,∞)
Step-by-step explanation:
Which is better to buy 4.20 for 6 cans or 8.00 for 10 cans
Answer:
4.20 for 6 cans is better
Step-by-step explanation:
4.20 / 6 = 0.70 per can
8.00 / 10 = 0.80 per can
0.70 per can is cheaper/less expensive than 0.80 per can.
PLZ HELP WILL MARK BRAINLEST 2 or more have to answer and its timed 1 hour
Answer:
z=77
Step-by-step explanation:
z/7−9=2
Step 1: Simplify both sides of the equation.
z−9+9=2+9
1/7z=11
z=77
(✿◠‿◠)
whats the slope between these points (3,2) and (6,5)
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Answer:
1
Step-by-step explanation:
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.
y= 1/3 x− 2/3
Answer:
y-intercept = (0,-2/3)
x-intercept = (2,0)
Step-by-step explanation:
*X-intercept touches the x-axis & y-intercept touches the y-axis*
You can identify the y-intercept by looking at the equation.
The slope is 1/3x and the y-intercept is -2/3.
I'm not sure how to solve for the x-intercept, but you can make a graph with the y-intercept and the slope points. By doing this you should be able to find the x-intercept.
Hope this helped!!! :)
PS: Check out the Desmos Graphing Calculator
This website helps a lot with these types of problems. You can type the equation, and it will show you a graph. If you look at the graph, you'll be able to determine the slope, the x-intercept, and the y-intercept.
Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet
A
B
C
D
Here we don't have any repeated x values.
In choice A, x = 2 repeats. In other words, x = 2 leads to multiple y outputs. So this is not a function. Choices B and D are similar stories. A function is only possible if every x leads to exactly one y value only. The graph must pass the vertical line test.
Side note: the y values can repeat, but the function won't be one-to-one.
Simplify: (1/3 - 2b)27
......................................
Answer:
9 -54b ________________
What percentage of 80 is 67
Answer:
83.75%
Step-by-step explanation:
67/80 = 83.75%
multiply (3-6i)^2 write in standard form
-27-36i .................................................................... not sure
The result of (3 - 6i)² will be -27 -36i .
Given,
(3 - 6i)²
Now,
The multiplication is of complex number .
So,
(3-6i)(3 - 6i)
So,
Multiply the terms ,
9 - 18i - 18i -36
Simplifying further,
-27 - 36i
Thus the resultant will be -27 -36i .
Know more about complex numbers,
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Which expression is equivalent to 6a + 15?
6(a + 5)
3(2a + 5)
3(3a + 12)
6(a + 12)
Find all whole values for y for which the double inequality is true: -5
Answer:
The values of y for which the inequality is true are;
-4,-3,-2,-1,1,0,1
Step-by-step explanation:
Here, we want to give all the values of y for which the given inequality is true
We have the inequality as;
-5 < y < 2
This can be read as -5 is less than 5 which is less than 2
This means that the correct y-values lie between -5 and 2 which are not inclusive
So the correct values of y in this case are;
-4,-3, -2, -1 , 0, 1
I need help finding the slope, the y-intercept and the equation?
Answer:
y is (0,-2) thats all i know sorry
Step-by-step explanation:
The equation of line will be;
⇒ y = x + 2
And, The y - intercept will be 2.
What is Equation of line?
The equation of line with slope 'm' and y - intercept at point 'b' is given as;
⇒ y = mx + b
Given that;
The points on the graph are (0, 2) and (- 2, 0).
Now,
Since, The equation of line 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)
Thus, The slope of the line with the points (0 , 2) and (-2, 0) is;
m = (0 - 2) / (- 2 - 0)
m = - 2/- 2
m = 1
So, The equation of line passing through the points (0 , 2) and (-2, 0) with slope 1 is defined as;
y - y₁ = m (x - x₁)
y - 2 = 1 (x - 0)
y - 2 = x
y = x + 2
Now, Compare with the equation y = mx + b, we get;
The y - intercept = 2
Thus, The equation of line will be;
⇒ y = x + 2
And, The y - intercept will be 2.
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Simplify
8a-8b
a2-b2
Answer:
-8a2b + 8a - b2
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(8a - 23a2b) - b2
STEP 2 :
STEP 3 :
Pulling out like terms
3.1 Pull out like factors :
-8a2b + 8a - b2 = -1 • (8a2b - 8a + b2)
Trying to factor a multi variable polynomial :
3.2 Factoring 8a2b - 8a + b2
Try to factor this multi-variable trinomial using trial and error
Answer:
-8a^2b - b^2 + 8a
Have a nice day and stay safe. Pls rate me and like.
: )
The distance between two asteroids was calculated at 37,500,000,000 kilometers. What is this value expressed in scientific notation?
Evaluate 0.1m + 8- 12n when m=30 and n = 1/4 answer
Answer:
8
Step-by-step explanation:
Original equation:
0.1m + 8 - 12n
Plug in the values of m and n
0.1(30) + 8 - 12(0.25)
Multiply.
0.1 x 30 = 3
3 + 8 - 12(0.25)
Multiply.
-12 x 0.25 = -3
3 + 8 - 3
Add.
3 + 8 = 11
11 - 3
Subtract.
11 - 3 = 8
Hope I helped :)
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Find the surface area of this rectangular solid.
7cm 5cm 4cm
A. 138
B. 166
C. 168
D. 16
E. 140
E:The answer is 140 because seven times five times four equals 140.
A coordinate grid with 2 lines. The first line is labeled f(x) and passes through (negative 4, 3), (0, 3) and (4, 3). The second line is labeled g(x) and passes through the points (negative 2, negative 5), (0, negative 2), and (2, 1)
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately (2) (2.5) (3.5) or (4)
.
f(x) = 3 and g(x) = 3/2x – 2
3 = 3/2x – 2
5 = 3/2x
The x-value at which the two functions’ values are equal is (2/3) (3/2) (5/3) or (10/3)
.
Answer:
3.5 and 10/3
Step-by-step explanation:
just took the quiz
Answer: C.) 3.5 and D.) 10/3
Step-by-step explanation: i hope this helps :)
what is the answer to :
4 x 10³÷ 2 x 10∧12
Answer:
2x10^15x^2
Step-by-step explanation:
1+1+2+3+4+5+6+7+8+9=?
Answer:
The answer is 46
Step-by-step explanation:
Self explanatory i just added them together
hope i helped :D
Given the following sequence: {x. 3x, 5x, 7x, 9x .... ). what will the value of
the TENTH term be?
Answer:
The tenth trem will be 21x considering 3x as one 1 + 10x2=21
what is the 9th term in the sequence -1, 4, -9, 16, -25,...?
Answer:
-81
Step-by-step explanation:
looks like they're doing perfect squares inversed..
so it'd go from -1,4,-9,16,-25,36,-49,64,-81
Why is brainliest so important and why is leveling up so important
Answer:
Its is so u get points make me he brainlst thx
Step-by-step explanation:
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
1. Complete the table.
Type the answers in the boxes below.
meters kilometers
1,000 1
3,500
500
75
1
x
2. Write an equation for converting the number of meters to kilometers. Use x for number of meters and y for number of kilometers.
Type the answer in the box below.
Answer:
Q1 1000 1
3500 3.5
500 .5
75 .075
1 .001
x 1/1000x or .001x Q2 Y= 1/1000x
Step-by-step explanation:
just search up 1000 meters to 1 kilometer and go from there :)
Are the given
equations parallel,
perpendicular, or
neither?
y = 3x + 5
y = 3x - 7
Answer:
parallel
Step-by-step explanation:
They have the same slope, just different y-intercepts. The two lines never cross, making them parallel.