Answer:
y = 2/5x - 3
Step-by-step explanation:
First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.
Then, you substitute the slope and given point into the equation to find the y-intercept.
y = 2/5x + b
(-5) = 2/5(-5) + b
(-5) = (-2) + b
b = -3
So, the equation is
y = 2/5x - 3
The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
We have the Equation,
y= -5/2x + 1
Here, the slope is -5/2.
Since perpendicular line have negative reciprocal of the slope of the given line.
So, the slope of the line perpendicular is 2/5.
Using point-slope form of the equation to find the equation of the perpendicular line.
The point-slope form is given by:
y - y1 = m(x - x1)
Using the point (-5, -5) and the slope 2/5,
y - (-5) = 2/5(x - (-5))
y + 5 = 2/5(x + 5)
y + 5 = 2/5x + 2
y = 2/5x - 3
Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
Learn more about Slope here:
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Find the area of each sector.
Answer:
d. 250π/3
Step-by-step explanation:
A = πr²
A = 3.14(10)² = 314.159
A = 314.159*(5/6) = 261.799
A = 261.799 = 250π/3
Answer:
D
Step-by-step explanation:
You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.
[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]
That above is your formula you need to remember for these equations.
Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.
The area of a circle is the formula: A = πr²
Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.
[tex]A=\pi10^2\\A=314.159[/tex]
Now lets solve for the missing variable (Sector Area).
[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]
I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.
1. Is the relation a function and why or why not?
{(1, 2), (2, 3), (1, 6), (4,3)}
Answer:
Its not a function, D
Step-by-step explanation:
its not a function because the x value, 1, repeats. input is x and output is y, so the input of 1 has more than one output.
PLEASEE HELPPP!!!!
the total land area of australia is about 8,000,000 km^2 , or 8 × 10^6 km^2.
the total land of new york city is about 800 km 2, or 8 × 10^2 km^2.
About how many times larger is australia than new york city?
A. 7,999,200
B. 4 times
C. 1 × 10^4 times
D. 1 × 10^-4 times
Answer:
C. 1 × 10^4 times
Step-by-step explanation:
Australia= 8 × 10^6 km^2
New york= 8 × 10^2 km^2
easy
look at the exponents when you divide them they subtract
(8 × 10^6 km^2)/(8 × 10^2 km^2)
6-2=4
8/8=1
1*10^4
8000000
/800
10000
or
1*10^4
I WILL GIVE BRAINLY PLS!!!!!!
When Jake buys an order of copper, he pays $45 for the first pound and $42 for
each additional pound. Which of the following expressions represents the total
cost, in dollars, of an order of p pounds of copper?
A. 45 + 42p
B. 45 + 42 (p – 1)
C. 45 + 42 (p + 1)
D. 87p
PLS SHOW YOUR WORK PLS
Answer:
A. 45 + 42p
Step-by-step explanation:
2/3 = 20/b solve for b.
5n + 6 = -4 NEED HELP ASAP
Answer:
n= -2
Step-by-step explanation:
5n=-4-6
5n=-10
n=-2
HELP PLZZZZZZZZ I NEED TO GET THIS DONE TODAY AND IM STUCK
Answer:
4.5
Step-by-step explanation:
60/20=3
3*1.5=4.5
If you shift the linear parent function, f(x) = x, to the left 2 units, what is the
equation of the new function?
it's a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative.
Solve the following inequality.
7(6 - 4n) + 4n > 138
Answer:
n <−4
42 - 28n + 4n >138
42 - 24n >138
-24n > 138 - 42
-24n >96
n <−96/24
N <−4
Rise of the Rivnyannya
Step-by-step explanation:
full work and answers for all 12 problems
00:00 Which is the simplified form of
[tex] {6}^{ - 3} [/tex]
? Select the correct answer.
Answer:
1/216
Step-by-step explanation:
Simplify the following:
6^(-3)
Hint: | In order to evaluate 6^3 express 6^3 as 6×6^2.
6^3 = 6×6^2:
1/(6×6^2)
Hint: | Evaluate 6^2.
6^2 = 36:
1/(6×36)
Hint: | Multiply 6 and 36 together.
6×36 = 216:
Answer: 1/216
Answer:
1/1296
Step-by-step explanation:
If triangle MNO is rotated 180 degrees clock wise about the Irgun to form triangle PQR , what are the coordinates of the verticals of Triangle PQR?
What conjecture can be made about the relationship between the coordinates of the vertices of a shape rotated 180 degrees clockwise about the origin and original shape ? explain your reasoning
Answer: u got a course hero account ?
Step-by-step explanation:
For the sequence an
4n + 7, which term number is 335?
Write the slope-intercept form of the equation of the line described.
Given point T(-6,-3) and point K(2,3), find the distance from point T to point K.
Answer:
[tex]d = 10[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point T (-6, -3)
Point K (2, 3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(2+6)^2+(3+3)^2}[/tex]Add: [tex]d = \sqrt{(8)^2+(6)^2}[/tex]Exponents: [tex]d = \sqrt{64+36}[/tex]Add: [tex]d = \sqrt{100}[/tex]Evaluate: [tex]d = 10[/tex]Sara got 720 marks out of 800 in the Basic Level Examination. How many percent of marks did she obtain?
A group of 31 students is going to visit the museum. The total cost for the tickets is $145.15. About how much money will each student need to pay for a ticket?
Answer:
$4.65
Step-by-step explanation:
Which expression is equivalent to 5(x - 3y + 4)
A:5x-8y+9
B:1/5x-3/5y+4/4
C:1/5x-3/5y+4/5
D:5x-15y+20
Please respond quick
Answer:
D. 5x-15y+20
Step-by-step explanation:
If you distribute 5 to all the numbers in the parenthesis, you get 5x-15y+20. This is because 5 multiplied by x is 5x, 5 multiplied by 3y is 15y, and 5 multiplied by 4 is 20. I hope this helps!
Answer:
D
Step-by-step explanation:
you have to distribute the number 5 between all of the numbers. Is because
5 * x is 5x 3y is 15y, and 5 *4 is 20.
What is the distance between the points (1,4) and (3,7)
Answer:
[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
To find the distance between points, we can use the following formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
We have two coordinates; (1, 4) and (3, 7)
Let's plug these values into the equation
[tex]d = \sqrt{(3 - 1)^2 + (7 - 1)^2} = 2\sqrt{10}[/tex]
Good luck!
Mary is 10 years old and Eleanor is 15 years old. Divide £1:75 between them in the ratio of their ages
Answer:
Mary have £ 0.7
and Eleanor 1.05
because
Mary 10/ 10 +15 × 1.75= .7
Eleanor 15 /10+15× 1.75 =1.05
Which of these expressions is equivalent to log (15*24)?
O A. log (15) log (24)
O B. log (15) - log (24)
O C. log (15) + log (24)
O D. 15 log (24)
Answer:
It's C.
Step-by-step explanation:
log(a×b) = log(a) + log(b)
Helppppp plsssssss help
find the slope of 4x-y=8 and solve
Answer:
m = 4
Step-by-step explanation:
Slope = 4
Slope-intercept form =
y = mx + b
m = slope
b = y-intercept
y = 4x - 8
Therefore, the slope is 4 and y-intercept is -8.
Hope this helps!!
Answer:
Slope of line=A/B
=4/-1
=-4
PLS HELP WILL GIVE BRAINLIEST
What are 3 different methods for solving systems of equations and when would you use each one? (10 pts)
How do you graph the solution set to a system of linear inequalities in two variables? (10 pts)
How do you determine if a system of linear equations has one solution, no solutions or infinitely many solutions? (10 pts)
Step-by-step explanation:
graphing.
substitution method.
elimination method.
We will use as an example the following system of inequalities:
3x +2y ≥ 5x -4
y < (1/2)x +3
For each inequality, do the following:
1. If it is not this way already, arrange the inequality so that each variable appears on only one side of the inequality. Putting the inequality into any of the standard forms will do this. It will be helpful later if you arrange the inequality so that at least one variable has a positive coefficient. (You may have to multiply by -1 (and change the sense of the inequality) to do this.)
Our example inequalities are now ...
-2x +2y ≥ -4 . . . . . or divide by 2 to get . . . . -x +y ≥ -2
y < (1/2)x +3
2. Notice the inequality symbol, and whether it includes the "or equal to" case.
the first inequality is ≥, so includes "or equal to"
the second inequality is <, so does not include "or equal to"
3. Replace the inequality symbol with an equal sign and graph the resulting equation. If the "or equal to" case is included, the line is graphed as a solid line. If it is not, then the line is graphed as a dashed line.
the first equation (-x +y = -2) is graphed with a solid line
the second equation (y = (1/2)x +3) is graphed with a dashed line
4. It is not necessary, but is less confusing, to choose a variable in the inequality (after step 1) that has a positive coefficient. Notice whether this variable is "less than" or "greater than" the stuff on the other side of the inequality.
y ≥ . . . . for the first inequality
y < . . . or . . . x > . . . . for the second inequality
If it is less than, shade the portion of the graph below (for y <) or to the left (for x <) of the line you graphed in step 3.
the second inequality has y < , so the graph will be shaded below the dashed line. It also has x > , so will be shaded to the right of the dashed line. (These are the same shading.)
If it is greater than, shade the portion of the graph above (for y >) or to the right (for x >) of the line you graphed in step 3.
the first inequality has y ≥ , so the graph will be shaded above the solid line.
5. The solution set is where the shaded areas overlap. Any point on a dashed line is not in the solution set.
_____
The graph for the example inequalities is attached. The first one is graphed and shaded in red; the second one is graphed and shaded in blue.
A system has no solutions if the lines are parallel. When solving the system, if you get a false statement (a number equal to a different number) this means there are no solutions.
Three methods of solving inequalities are the graphing method, substitution method, and elimination method.
What is inequality in math?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
We will use as an example the following system of inequalities:
3x +2y ≥ 5x -4
y < (1/2)x +3
For each inequality, do the following:
If it isn't already set up this way, organize the inequality so that each variable only appears on one side. This can be accomplished by putting inequality into any of the accepted formats. If you set up the inequality so that at least one variable has a positive coefficient, it will be useful later. To accomplish this, you might need to multiply by -1 (and alter the inequality's sense).
Our example inequalities are now ...
-2x +2y ≥ -4 . . . . . or divide by 2 to get . . . . -x +y ≥ -2
y < (1/2)x +3
Take note of the inequality sign and whether the "or equal to" instance is present.
The first inequality is, so "or equal to" is included. The second inequality is, so "or equal to" is not included.
Create a graph of the equation that results from replacing the inequality symbol with the equal sign. The line is graphed as a solid line if the "or equal to" scenario is present. If not, a dashed line is used to represent the line on the graph.
Graphing the first equation (-x + y = -2) using a solid line
Graphing the second equation (y = (1/2)x + 3) uses a dashed line.
Choosing a variable in the inequality that has a positive coefficient after step one is not required, but it is less ambiguous. If there is an inequality, pay attention to whether this variable is "less than" or "greater than" the items on the other side.
For the initial inequality, y
In the case of the second inequality, y or x >
Shade the area of the graph below (for y) or to the left (for x) of the line you graphed in step 3 if it is smaller than.
The graph will be darkened below the dashed line since the second inequality has the value y. It will be tinted to the right of the dashed line because it also has x >. The shading here is the same.
Shade the area of the graph above (for y >) or to the right (for x >) of the line you graphed in step 3 if it is bigger than.
The graph will be shaded above the solid line because the first inequality has y.
The overlap of the colored areas is the solution set. The solution set does not include any points on a dashed line.
When the lines are parallel, a system cannot have a solution. If you get a false statement after solving the system (a number that is equal to a different number), there are no solutions.
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The expression 7d gives the number of days in d weeks . Evaluate 7d for d=12. How many days are in 12 weeks?
HELP ASAP!
Answer:
84 days are in 12 weeks
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
help me you guys for brainlest
Answer:
20
Step-by-step explanation:
[tex]\frac{10^{2} }{5^{1}}[/tex]
[tex]\frac{100}{5}[/tex]
[tex]\frac{20}{1}[/tex]
[tex]20[/tex]
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
Ø (X Y)
X Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
WHAT EVEN IS THIS LOL
Answer:
the first one
Step-by-step explanation:
in the first one it says there are no common numbers between x and y which is false.
in the second one its the union of x and y which means that you must list all numbers in x and y without repetition
the third one states that 15,33,1025 are the only numbers that are common between x and y.
so as a breif the first one is wrong
Answer:
first choice
Step-by-step explanation:
division problem help pls
Answer: B. D. E. F.
Step-by-step explanation:
Gr
How many cups of lime juice does Marcus
need for 3 cups of Greel yogurt?
Answer:
1/5 or 1 1/5
Step-by-step explanation:
Answer:1 1/5c of lime juice
Step-by-step explanation:
Which expression is equivalent to 30 ÷ (3 + x)
A. (3 + x) ÷ 30
B. 30 ÷ (x +3)
C (3÷30) + x
D 30 ÷ 3 + 30 ÷ x
Answer:
Answer would be B because addition is commutative that is, a + b = b + aSo answer would be 30 ÷ (X + 3)