The given lines 'x=-2' and 'y=8' are indeed perpendicular as they intersect at a right angle of 90 degrees, which defines perpendicularity.
Explanation:In the context of coordinate geometry, the equations 'x=-2' and 'y=8' represent two lines in a 2D space. The line x=-2 is a vertical line that passes through -2 on the x-axis, while y=8 is a horizontal line that passes through 8 on the y-axis.
These lines are indeed perpendicular because they intersect at a right angle, which is a primary characteristic of perpendicular lines. Perpendicularity in 2D space is defined by a 90-degree angle between two lines, and in this case, the vertical line (x=-2) and horizontal line (y=8) do, indeed, intersect perpendicularly.
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I’m need help plz !!
Answer:
your answer would be C
Step-by-step explanation:
follow the numbers up the graph
Answer:
C. After 6 minutes, Sam is 60 meters from the dock.
Step-by-step explanation:
An event lasts for 5 hours and 30 min how long did the event last in seconds
Answer:
19800
Step-by-step explanation
5 * 60 =300
5 hrs is 300 minutes
300 + 30 = 330
5hrs and 30 min is 330 min
330*60= 19800
5hrs and 30 min is 19800 sec
Find the missing factors 3x^3+12x^2-9x=3x
Final answer:
The missing factors in the expression 3x³+12x²-9x are obtained by factoring out the common term 3x and then factoring the quadratic expression x²+4x-3. The final factorization is 3x(x+6)(x-1).
Explanation:
To find the missing factors in the expression 3x³+12x²-9x, we first factor out the common term, which is 3x.
So, the expression becomes 3x(x²+4x-3). Next, we need to find two numbers that multiply to -3 and add to 4. These numbers are 6 and -1, so we can further factor the quadratic as 3x(x+6)(x-1). In conclusion, the missing factors of the given expression are x+6 and x-1.
Round 630.821430372 to the nearest whole number.
Answer:
630.8 for the nearest tenth, and 631 for a whole number.
Step-by-step explanation:
Find the GCF from the two numbers 24+36, and rewrite the sum using the distributive property
24 = 2 · 2 · 2 · 3
36 = 2 · 2 · 3 · 3
GCF(24, 36) = 2 · 2 · 3 = 12
24 = 12 · 2
36 = 12 · 3
24 + 36 = 12 · 2 + 12 · 3 = 12 · (2 + 3)Answer:
24 + 36 = 12 · 2 + 12 · 3 = 12 · (2 + 3)
Step-by-step explanation:
what are the values of x and y that satisfy 3x − 1 + 2y = 0 and 3x2 − y2 + 4 = 0
The values of x and y that satisfy the system of equations are x = (1/3 ± i√(19))/1 and y = (±i√(19) + 2)/2.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
The equations 3x − 1 + 2y = 0 and 3x2 − y2 + 4 = 0
Now,
To find the corresponding values of y, we can plug these values of x into the expression for y that we found earlier:
[tex]y = -1/2(3x - 1). For x = (1/3 + i√(19))/1, we get: y = -1/2(3(1/3 + i√(19))/1 - 1) = -1/2(i√(19) - 2) = (i√(19) + 2)/2. For x = (1/3 - i√(19))/1, we get: y = -1/2(3(1/3 - i√(19))/1 - 1) = -1/2(-i√(19) - 2) = (-i√(19) + 2)/2.[/tex]
These are the values of y that satisfy the system of equations.
Therefore, by quadratic equations the answer will be x = (1/3 ± i√(19))/1 and y = (±i√(19) + 2)/2.
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Kellan's lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should he use?
Answer:
7.25
Step-by-step explanation:
4 times 2 is 8 so then add another half and you will get 10 so multiply 2.5 times 2.5
Kellan should use 6.25 cups of water to make a batch of lemonade with 10 scoops of lemonade powder.
Explanation:To determine how much water should be used, we can set up a proportion using the lemonade powder to water ratio. Since 4 scoops of lemonade powder are used for every 2.5 cups of water, we can write the proportion as:
4 scoops / 2.5 cups = 10 scoops / x cups
To solve for x, we can cross-multiply and divide:
4x = 10 * 2.5
4x = 25
x = 6.25 cups
Therefore, Kellan should use 6.25 cups of water to make a batch of lemonade with 10 scoops of lemonade powder.
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An equilateral triangle is dilated by a scale factor of 3. If a side of the original triangle is 6, what is the measure of a side of the new triangle?
Answer:
18
Step-by-step explanation:
Let the side of the triangle be a and that of the new one be a'.
a'/a = 3/1 Insert the value of a
a'/6 = 3 Multiply each side by 6
a' = 18
The measure of a side of the new triangle is 18.
Answer: 18 units.
Step-by-step explanation:
When a segment 'm' is dilated by a scale factor 'k' , then the measure of new dilated segment will be 'km' [i.e. New side length =scale factor is multiplied to the original side-length].Given : An equilateral triangle is dilated by a scale factor of 3.
[Note an equilateral triangle has all its side-lengths are equal.]
Side-length of the original triangle = 6 units
Then, the measure of a side of the new triangle = Scale factor x Original side-length
= 3 x 6 = 18 units
Hence, the measure of a side of the new triangle = 18 units.
comment if you want to do some assignments for me. I’ll make you brainiest and give you all my points.‼️‼️‼️‼️‼️‼️‼️‼️ (Math and science)
Answer:
Ask away
Step-by-step explanation:
Answer:
Ill do the math
Step-by-step explanation:
What is the surface area of the cylinder?
A.) 9πm²
B.) 18πm²
C.) 21πm²
D.) 13.5πm²
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=1.5 \end{cases}\implies SA=2\pi (1.5)(1.5+1.5) \\\\\\ SA=3\pi (3)\implies SA=9\pi[/tex]
If c= 8 what is the value of 4c + ( 4-3)
Also, if t= 5, what is the value of 16-3t?
write the equation of the line that passes through the points (-3,1) and (3,5) in point-slope, slope-intercept, and standard form (using only integers). Then graph the line. show all work
Answer:
See below.
Step-by-step explanation:
The slope of the line is (5-1) / (3 - -3)
= 4/6 = 2/3
Point slope form:
y - y1 = m(x - x1)
Plugging in m = 2/3 and the point (-3,1):-
y - 1 = 2/3(x + 3) (answer)
Slope-intercept form:-
y - 1 = 2/3(x + 3)
y = 2/3x + 2 + 1
y = 2/3x + 3 (answer)
Standard Form:-
y = 2/3x + 3
Multiply through by 3:-
3y = 2x + 9
-2x + 3y = 9 (answer).
plz help undertand this question
Answer:
h=4=30
c=2=60
Hope that help
Two lawn-mowing services are compared. The monthly cost, y dollars, as compared to the number of times the yard is mowed, x. The monthly cost of Service a is represented by y = 30x+20. The graph of service b costs goes through (0,0) and (5,150). how do these two services differ?
Answer:
Service a charges $30 per mow plus an additional $20 flat fee each month, however, Service b only charges $30 per mow, so Service b would be cheaper.
Step-by-step explanation:
This question is asking you to compare costs using linear equations. In a linear equation, 'x' represents the independent variable, in this case the number of times the yard is mowed, and 'y' represents the dependent variable, or the monthly cost. 30 is the slope, or rate of change, which in this problem is the cost per time the yard is mowed. In the equation for Service a, we can see that it is a charge of $30 per time, however, there is also an additional fee of $20 - which is our y-intercept. However, Service b has two points (0,0) and (5,150). Using these two points, we can find the slope, or rate, by subtracting the 'y' values over the 'x' values, or (150-0)/(5-0), to get 30. Since Service b has the starting point of (0,0), or cost is $0 when there are 0 lawns mowed, then they do not have a flat fee.
Help me please he has the high ground
Answer:
line (3)
Step-by-step explanation:
note that [tex]\frac{x}{4}[/tex] + 3 - 3 = - 12 - 3
should then be [tex]\frac{x}{4}[/tex] = - 14 Not - 9
first error occurs in line (3)
What’s 127.2 divided by 14
Please help take as long as you need In not in a hurry (25pst)
Translate the following sentence into math symbols. Then solve the problem. y more than 4 is –36
How would you convince a fellow student that the number 0.57 is a rational number?
Answer:
4+y = -36
y = -40
The definition of a rational number is the ratio of two integers
Lets rewrite .57 as a fraction
.57 = 57/100
Both 57 and 100 are integers and 57/100 is the ratio of integers so .57 is rational.
Step-by-step explanation:
4+y = -36
Subtract 4 from each side
4+y-4 = -36-4
y = -40
The definition of a rational number is the ratio of two integers
Lets rewrite .57 as a fraction
.57 = 57/100
Both 57 and 100 are integers and 57/100 is the ratio of integers so .57 is rational.
The width of a rectangle is fixed at 2yd. For what lengths will the area be at least 4 yd ^2?
My second question is: a rectangle has a perimeter of 8ft. The length is 5ft less than two times the width. Fond the length and width.
Answer:
Length of rectangle ≥ 2 yd.
Step-by-step explanation:
Suppose the length of rectangle = X yd.
Given the width of rectangle = 2 yd.
Area ≥ 4 yd²
Length * width ≥ 4 yd²
2X ≥ 4 yd²
X ≥ 2 yd
So, length of rectangle must be at least 2 yd.
****************************************************************************************
Answer:
length = 1 feet and width = 3 feet.
Step-by-step explanation:
Suppose the width of rectangle = X feet.
then length of rectangle = (2X - 5) feet.
Given the perimeter of rectangle = 8 feet.
The formula is Perimeter = 2 * (length + width)
8 = 2 * (2X - 5 + X)
8 = 2 * (3X - 5)
8 = 6X - 10
6X = 8 + 10 = 18
X = 18/6 = 3.
so 2X - 5 = 2(3) - 5 = 6 - 5 = 1.
Hence, length = 1 feet and width = 3 feet.
Which exponential function grows the fastest?
A) f(x) = 5·2x
B) f(x) = 4·3x
C) f(x) = 3·4x
D) f(x) = 2·5x
Answer:
If x is an exponent in all those functions, then the function that grows the fastest is D, because it has the highest base 5 which is raised to x.
Step-by-step explanation:
The function [tex]f(x) = 2\times5^x[/tex] grows fastest. The correct answer is option D.
Given that the following functions:
[tex]f(x) = 5\times2^x[/tex] (1)
[tex]f(x) = 4\times3^x[/tex] (2)
[tex]f(x) = 3\times4^x[/tex] (3)
[tex]f(x) = 2\times5^x[/tex] (4)
To determine which exponential function grows the fastest, compare the bases of the functions. The base of an exponential function determines how quickly it grows.
Let's compare the bases:
(1) The base is 2.
(2) The base is 3.
(3) The base is 4.
(4) The base is 5.
Since the base determines the rate of growth, conclude that [tex]f(x) = 2\times5^x[/tex] grows the fastest among the given options because 5 is the largest base.
In other words, as x increases, the function [tex]f(x) = 2\times5^x[/tex] will have the steepest increase in value compared to the other options.
Hence, the function [tex]f(x) = 2\times5^x[/tex] grows fastest.The correct answer is option D.
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Plz help me I’m a desperate little boy
Answer:
They would be going at 56 miles per hour.
Step-by-step explanation:
You just take the miles they traveled (1,750) and divide it by the hours it took to get ther (31) the equation qould look like this 1,750 / 31 = 56
miles per hour is measured by how far you go and how long it takes to get there!
Answer: The answer is 56 miles per hour
Step-by-step explanation:
you divide 1,750 by the time it took which was 31
you would get 56.4516129032 then you round to the nearest whole number which is 56
i hope this helps- brycefoster
y+8=-11
[tex]y + 8 = - 11[/tex]
[tex]y+8=-11\qquad\text{subtract 8 from both sides}\\\\y+8-8=-11-8\\\\\boxed{y=-19}[/tex]
what is a even number + even number = 90
Answer:
52+38
Step-by-step explanation:
An even number plus another even number results in an even sum. Examples such as 44 + 46 equaling 90 show this arithmetic principle.
The question pertains to the addition of two even numbers that equal 90. An even number is any integer that can be exactly divided by 2, which means its last digit will be 0, 2, 4, 6, or 8. When adding two even numbers, the result is always an even number.
For instance, if we consider the numbers 44 and 46, both are even:
44 (even) + 46 (even) = 90 (even)This is just one example of even numbers adding up to 90. There are multiple pairs of even numbers that can sum up to 90, demonstrating the fundamental arithmetic principle that the sum of two even numbers is always even.
Armando sang 2/3 of a song in 3/4 minute. What is the rate of his songs per minute?
Answer:
8/9 of a song per minute
Step-by-step explanation:
We want to find the rate, which is songs per minutes
songs/ minute
2/3 / 3/4
We can use copy dot flip
2/3 * 4/3
8/9 songs per minute
Do u understand? I will mark a brainlist
Answer:
15
Step-by-step explanation:
4g(3)+2[g(2)]²
4((3+4)/√7(3)-5)+2[(2+4)/√7(2)-5]²
=15
Answer:
Answer is option c. (15)
An oak tree is 1.5 x 10^3 centimeters tall which unit of measurement is most appropriate to measure this height
D) feet
A tree 1.5 x 10^3 is 1500 centimeters. That's about 300 inches, which would better be measured in feet.
You can use the fact that normally people use those measurements which are whole numbers or not elongated decimal number mostly and not much big numbers.
The most appropriate unit to measure the length of the tree out of the given options is
Option D: feet
How to find the appropriate unit for measurement?Normally people use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
A tree is measured suitably if we use feet. It is because the normal tree height is from few feet to few hundred feet.
If you measure tree height in centimetres, then as you can see in the question, the number before cm unit is quite big to handle by normal people.
If you measure in too big unit like kilometres, then the height would be expressed mostly like 0.some digits.
That's why we choose feet.
Since 1 cm = 0.0328 feet
thus, height of specified tree in feet would be
[tex]\rm 0.0328 \times 1.5 \times 10^{3} = 49.2 \: feet[/tex]
See the number before feet. Its not too big nor too small, and easy to remember and converse. That's why feet is appropriate.
Thus,
The most appropriate unit to measure the length of the tree out of the given options is
Option D: feet
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Function f is an exponential function.
By what factor does the output value increase as each input value increases by 1?
Answer:
Multiply the output value by 2 for each input value increases by 1
Step-by-step explanation:
Function f is an exponential function
Since it is an exponential function , we find out common ratio of output first
WE divide second term by first term to get common ratio
[tex]\frac{\frac{1}{16}}{\frac{1}{64}}[/tex]
[tex]\frac{1}{16} * \frac{64}{1}= 4[/tex]
Change in output = 4
Now we find change in input
Input increases by 2 so change in input = 2
Factor that increase the output is [tex]\frac{4}{2} = 2[/tex]
Answer:
If the input value increases by 1, the output value increases by 2.Step-by-step explanation:
The given table represents an exponential function, that means that variables show a sequence which have an increasing factor that we can find by division.
If we divide the second values by the first value, we could find the factor of the exponential function.
[tex]\frac{1}{16}\div \frac{1}{64} =\frac{1}{16} \times \frac{64}{1}=4[/tex]
So, [tex]f(x)[/tex] increases by a factor of 2.
Now, using the table we see that [tex]x[/tex] values increases by a difference of [tex]+2[/tex], not a factor.
At the moment, while the input value increases by 2, the output value increases by 4.
This means that if the input value increases by 1, the output value increases by 2.
Therefore, the answer is 2.
round to the underline place value in the 3 in 32,134,085 (the one next to the 2)
Jose and Alexia were lab partners in science class. They needed to weigh three samples of rock to the nearest thousandth. The first sample weighed 3.346 grams, the second weighed 2.479 grams, and the third weighed 9.240 grams. How much did the samples weigh altogether? 15.065 g 11.719 g 5.825 g 0.069 g
Answer: 15.065 grams
Step-by-step explanation:
Given: Jose and Alexia needed to weigh three samples of rock to the nearest thousandth.The weight of the first sample = 3.346 grams
The weight of the second sample = 2.479 grams
The weight of the third sample = 9.240 grams
Add all together such that the total weight=[tex]3.346+2.479+9.240[/tex]
⇒The total weight of the samples = 15.065 grams.
Therefore, the samples weigh 15.065 grams altogether.
How to find the surface area of rectangular prism
Answer:
Formula:
The general formula for the surface area (SA) of a prism is:
SA = 2B + Ph
Step-by-step explanation:
where:
B is the area of one base (since there are two identical bases, we multiply by 2).
P is the perimeter of the base (the total length of all sides of the base polygon).
h is the height of the prism (the distance between the two bases).
Steps to Find the Surface Area:
Identify the base shape and calculate its area:
Depending on the type of prism (triangular, rectangular, etc.), use the appropriate formula to find the area of one base.
Find the perimeter of the base:
Add up the lengths of all the sides of the base polygon.
Calculate the lateral surface area:
Multiply the perimeter of the base (P) by the height of the prism (h). This gives you the total area of all the lateral faces.
Sum the areas:
Add the area of two bases (2B) you calculated in step 1 and the lateral surface area from step 3. This will be the total surface area of the prism.
Tips:
Make sure you identify the correct height of the prism. It's the perpendicular distance between the two bases, not the length of a slanted lateral face.
If the lateral faces are not all the same shape (e.g., a truncated prism), you might need to calculate the area of each lateral face separately and add them all up.
By following these steps and using the formula, you can find the surface area of any prism!
What is x and y if you have 4x-2y=5 and y=2x+10
[tex]\bf \begin{cases} 4x-2y=5\\ \boxed{y}=2x+10 \end{cases}~\hspace{7em}\stackrel{\textit{substituting \boxed{y} in the 1st equation}}{4x-2\left( \boxed{2x+10} \right)=5} \\\\\\ 4x-4x-20=5\implies -20\ne 5[/tex]
which makes no sense, our variable went poof, but that is a flag that this system has no solution, let's quickly solve both for "y" to put them in slope-intercept form,
[tex]\bf 4x-2y=5\implies 4x-5=2y\implies \cfrac{4x-5}{2}=y\implies ~\hfill \stackrel{\stackrel{m}{\downarrow }}{2}x-\cfrac{5}{2}=y \\\\\\ ~\hfill y=\stackrel{\stackrel{m}{\downarrow }}{2}x+10[/tex]
so, notice, the slopes(m) are exactly the same for both, whilst the y-intercept differs, meaning both lines are parallel and therefore never touch each other, thus, no solution.
the untrue equation of -20 = 5, is another way to say, "no solution".