Answer:
1
Step-by-step explanation:
Subtract
Since they have the same denominator you can subtraact normally
so 2 2/3- 1 2/3
That would be 1
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
What is the slope of the line that contains diagonal OE?
Answer:
The slope of the line that contains diagonal OE will be = -3/2
Step-by-step explanation:
We know the slope-intercept form of the line equation
y = mx+b
Where m is the slope and b is the y-intercept
Given the equation of the line that contains diagonal HM is y = 2/3 x + 7
y = 2/3 x + 7
comparing the equation with the slope-intercept form of the line equation
y = mx+b
Thus, slope = m = 2/3
We know that the diagonals are perpendicular bisectors of each other.As we have to determine the slope of the line that contains diagonal OE.
As the slope of the line that contains diagonal HM = 2/3
We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line that contains diagonal
OE will be = -1/m = -1/(2/3) = -3/2
Hence, the slope of the line that contains diagonal OE will be = -3/2
Givens: <-->AD is the perpendicular bisector of segment BC AB = 7x+1 AC = 8x-6 BC = 3x + 9 Find: BD
Answer:
wheres the pic
Step-by-step explanation:
Problem 11-15 Using CAPM A stock has an expected return of 10.5 percent, a beta of 1.55, and the expected return on the market is 8.5 percent. What must the risk-free rate be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
the risk free rate of return is 4.86%
Step-by-step explanation:
The computation of the risk free rate is shown below;
As we know that
Expected return = Risk free rate of return + Beta × (Market rate of return - risk free rate of return)
10.5% = Risk free rate of return + 1.55 × (8.5% - Risk free rate of return)
10.5% = Risk free rate of return + 13.175% - 1.55 Risk free rate of return
10.5% - 13.175% = -0.55 risk free rate of return
-2.675% = -0.55 risk free rate of return
So, the risk free rate of return is
= 2.675% ÷ 0.55
= 4.86%
Hence, the risk free rate of return is 4.86%
Yesterday, the temperature at noon was 22.5 degrees. By midnight, the temperature had decreased by 27.7 degrees. What was the temperature at midnight?
Answer:
54.23
Step-by-step explanation:
If that not a choice simpfly
Helppppppppppppppppppp
Answer:
1/8^4
Step-by-step explanation:
when divinding exponents with the same base, subtract the power. you get 8^-4. since the problem specifies no negative exponents you need to simplify. this give you 1/8^4
Identify a pair of perpendicular lines in the given figure.
Question 1 options:
p and t
q and t
s and t
p and q
Fill in the missing numbers:
8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.
Answer:
20 2 3 6 10 998778889899999
Two binomials were multiplied together and the result is represented by the 1 point
algebra tiles shown. What are the two original binomials?
Answer:
What are the answers?
Step-by-step explanation:
Find the fifth term in the geometric
sequence, given the first term and
the common ratio.
a1 = 2 and r = 3
a5 = [ ?]
The fifth term is 162 in the geometric sequence.
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
What is arithmetic sequence?A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
Given data :
First term of sequence geometric (a₁) = 2
The common ratio of geometric (r) = 3
To determine the fifth term of geometric sequence
Let the fifth term of sequence = a₅
The nth term of a geometric sequence is expressed as :
Tₙ = a₁rⁿ⁻¹
Substitute the values of n = 5, a₁ =2 and r = 3 in the formula,
T₅ = (2)(3)⁵⁻¹
T₅ = (2)(3)⁴
T₅ = (2)(81)
T₅ = 162
Hence, the fifth term is 162 in the geometric sequence
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What is the measure of anglez in this figure?
Enter your answer in the box
430
z=
–5x + 10 > –15?
solve
Answer:
x<5
Step-by-step explanation:
Answer:
-2 > -15
Step-by-step explanation:
-2 is greater than -15
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
A.) acute scalene triangle
B.) right isosceles triangle
C.) equiangular equilateral triangle
D.) obtuse scalene triangle
Answer:
D.) obtuse scalene triangle
Step-by-step explanation:
acute triangle: 3 acute angles
right triangle: 1 right angle, 2 acute angles
obtuse triangle: 1 obtuse angle, 2 acute angles
scalene triangle: no congruent sides
isosceles triangle: 2 congruent sides
equilateral triangle: 3 congruent sides
The question is:
"What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?"
That means scalene and obtuse.
Answer: D.) obtuse scalene triangle
The triangle is an obtuse scalene triangle, the correct option is D.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides,
When the measure of all the angles of a triangle is less than 90 degree, it is an acute angle triangle.
When the measure of one of the angle of a triangle is equal to 90 degree, it is a right angled triangle.
When the measure of one of the angle of a triangle is greater than 90 degree, it is called an obtuse angle triangle.
When the measure of all side is different, it is a scalene triangle.
When the two side of a triangle is equal, it is an isosceles triangle.
When all the sides of a triangle is equal, it is an equilateral triangle.
The condition given in the question is triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°, it is an obtuse scalene triangle.
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find the determinant of the following matrix. [2 3] [1. 4]
The determinant of a 2x2 matrix is defined as
[tex]\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc[/tex]
So, in your case, the determinant is
[tex]2\cdot 4-1\cdot 3 = 8-3=5[/tex]
Given matrix is:
[tex]\begin{bmatrix}2 & 3 \\ 1 & 4\end{bmatrix}[/tex]As we know that,
→ [tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = ad -bc[/tex]
then,
The determinant will be:
= [tex]2\times 4-1\times 3[/tex]
= [tex]8-3[/tex]
= [tex]5[/tex]
Thus the above response is correct.
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Lin drove her car at a constant speed 164 miles in 4 hours. Manuel rode his motorcycle 140 miles in 3.5 hours. Who rode faster? By how much?
Answer: Manuel Because He was on the motor bike less. She was in the car driving for 4 HOURS he was on the bike less for a grand total of 3.5 HOURS so MANUEL was faster. :)
And he was faster by 30 minutes...
This is one of those questions where they try to put you focus on something else like speed speed does not matter!! :)
Blake is working two summer jobs, making $9 per hour washing cars and making $22 per hour tutoring. In a given week, he can work no more than 16 total hours and must earn no less than $220. If x represents the number of hours washing cars and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
9x + 22y ≥ 220
x + y ≤ 16
Step-by-step explanation:
First x is number of hours washing cars and y is number of hours tutoring.
He makes $9 per hour on cars, $22 per hour tutoring. So we use variables as substitutes for actual values.
That is 9x + 22y. He can't make less than 220, so use the sign greater or equal to 220.
He also must work no more than 16 hours. Total hours is x+y, and no more than 16 means use the sign less than or equal to.
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The number of hours washing cars and number of hours tutoring, if Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring, are 10.2 and 5.85 respectively. The graph is also attached below.
What is equation?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in, 3x + 5 Equals 15, instances.
Given:
Blake is working two summer jobs, making $9 per hour washing cars, making $22 per hour tutoring,
Total working hour = 16
Total money to be earned = $220
Write the equation of the above statement as shown below,
x + y = 16
9x + 22y = 220
Solve the above equation using a graph,
y = 5.85 and x = 16 - 5.85 = 10.2
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Write the equation in standard
form of the line that has
x-intercept 6 and y-intercept -2.
Answer:
x - 3y = 6
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{a}+\frac{y}{b}=1[/tex]
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
[tex]\displaystyle \frac{x}{6}+\frac{y}{-2}=1[/tex]
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
Pls help!
a.) 2 is what percent of 1?
b.) M is what percent of N?
c.) What percent of 88 is 154?
Answer:
A)200%
B)I dont know sorry
C) 57.14. Not sure tho
Hope they are correct
a school population of 1200 increases by 6% per year what will the population be after 4 years
Answer:
Step-by-step explanation:
1200x6%(.06)=72
72x4=288
1200+288=1488
1200+72=1272+72=1344+72=1416+72=1488
3.2 geometry worksheet
Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Please help me out.
Answer:
it's 4
Step-by-step explanation:
big brainnnnnnnnnn
Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
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If anyone knows the answer to this can you help me
Answer:
C. y + 7 = -7(x - 3)Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where m is the slope and (x₀, y₀) is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
y + 7 = -7(x - 3)
Please help..
Give a example of force applied to an object that dies not change the objects's velocity.
Answer:
friction
Step-by-step explanation:
Consider an object that's not moving, like a chair at rest on the floor. There are two forces acting on it:
• its own weight, pulling it downward
• the normal force, i.e. the floor pushing upward on the chair.
Both of these forces are non-vanishing, but the net force is 0, so the chair remains at rest and its velocity stays at 0.
I got this question wrong. My teacher said something about altitude, but I have not a clue how to do it
Answer:
cone shape and cm 3
area of shape
Step-by-step explanation:
3 cm ×8 cm
24
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Students rent buses and vans for a trip to Disneyland. There were 12 buses and 8 vans and 360 students. A) write an equation to show the relationship described above. B) if there are 12 students on every van, how many kids are on each bus?
Isabella's water bottle holds 4 cups of water. How many times can she fill her water bottle from a 1-gallon jug of water?
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
In costal regions, some animals live above sea level and other animals live in the ocean. A sea star can be found at an ocean depth of two feet. How can you represent an ocean depth of two feet? 1.What do you know 2.What do you need to find 3.What is the answer
Answer:
- 2 feets
Step-by-step explanation:
Given that sea star can be found at an ocean depth of 2 feets ;
An ocean depth of 2 feets can be represented as :
Sea level - depth = 0 - 2 = - 2 feets
Hence, it can be concluded that sea star lives in the ocean
The ratio of girls to boys in a student basketball league is 3:4. Choose true or false for the following statement: If there are 30 girls in the league, there
would be 40 boys. *
Answer:
True. 3:4 is the same as 30:40 because they both times 10
Step-by-step explanation:
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
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Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2