Since the lines have the same slopes, hence they are parallel lines
How to determine the relationship between linesWe can determine the relations by knowing the slopes of the line
For the line with coordinates (9, –5) and (5, –2)
Slope = -2+5/5-9
Slope = -3/4
For the line with coordinates (–4, –2) and (–8, 1)
Slope = 1+2/-8+4
Slope = -3/4
Since the lines have the same slopes, hence they are parallel lines
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What percent of 5280 feet is 880 yards
Answer:16.67
Step-by-step explanation:
880 of 5280 can be written as:
880
5280
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
880
5280
×
100
100
= (
880 × 100
5280
) ×
1
100
=
16.67
100
Therefore, the answer is 16.67%
If you are using a calculator, simply enter 880÷5280×100 which will give you 16.67 as the answer.
what’s the slope of the line
Answer:
90
Step-by-step explanation:
slope
Answer:
formula is equal to rice run is equal to y 2 -y 1 X2 minus X1
Fill in the missing values in the X² column of the following table, and then calculate ΣX².
Parent
Children in Family of Origin (X)
Number of Planned Children (Y)
X²
A 3 3 9
B 3 1 9
C 3 2
D 2 2 4
E 4 3
ΣX² =
The missing values of x² column of the table are; 9 and 16 respectively and the value of ΣX² is; 47.
What are the missing values of x² in the table?If follows from the table that the three columns of the table record values x, y and x².
On this note, if fill that the first missing value in which case, x = 3 and y = 2 is; 3² = 9. And in the second case where, x = 4 and y = 3 is; 4² = 16.
Hence, the value of ΣX² = 9 + 9 +9 + 4 +16 = 47.
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What is the length of DE ?
Answer:
option D. DE = 11
Step-by-step explanation:
The line DF is equivalent in length to the blue line,
(x + 7) + 7 = 4x + 2
Solve:
x + 14 = 4x + 2
subtract 14 from both sided to get x alone,
x + 14 - 14 = 4x + 2 - 14
x = 4x - 12
subtract 4x from both sided,
x - 4x = 4x - 4x - 12
-3x = -12
divided both sides by -3,
-3x / 3 = -12 / -3
x = 4
Plug in x into DE equation:
x + 7: (4) + 7 = 11
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David and Lacey are 2000 feet apart on a coastline. They each look at the same boat in the water. The angle between the coastline and the line from David to the boat is 70%. The line between the coastline
and the line from Lacey to the boat is 32.
Part A: How far is the boat from David?
Part B: How far is the boat from Lacey?
Part C: If David moved so that his distance from the boat is 1200 feet, what would the angle be between the coast and his view of the boat?
By using the given distances and directions, we have;
Part A: 1083.5 feet
Part B: 1921.37 feet
Part C: 58.05°
How can the distances and directions be calculated?The distance between David and Lacey = 2000 feet
David's angle to the boat = 70°
Lacey's angle to the boat = 32°
Part A
The distance of the boat from David is found as follows;
Imaginary lines drawn from the boat to David and then to Lacey form a triangle.
In the triangle, let A = 70°
B = 32°
Therefore by the sum of angles in a triangle, we have;
C = 180° - (70° + 32°) = 78°
By using sine rule we have;
[tex] \frac{a}{sin(A)} = \frac{b}{sin( B )} = \frac{c}{sin(C)}[/tex]
David's distance from the boat, b, is therefore;
[tex] \frac{b}{sin( 32 )} = \frac{2000}{sin(78)}[/tex]
The angle subtended by the coastline, C, is therefore;
[tex] b = \frac{2000}{sin(78)} \times sin( 32 ) = 1083.5 [/tex]
David's distance from the boat is 1083.5 feetPart B
The distance between the boat and Lacey is found as follows;
[tex] \mathbf{ \frac{a}{sin( 70)} }= \frac{2000}{sin(78)}[/tex]
[tex] a = \frac{2000}{sin(78)} \times sin( 70 ) = 1921.37 [/tex]
Lacey's distance from the boat is 1921.37 feetPart C
When b = 1200 feet, we have;
Finding the vertical distance of the boat from the coastline, we have;
1083.5 × sin(70) = 1018.17
We have;
[tex] \frac{1200}{sin(90)} = \frac{1018.17}{sin( B' )} [/tex]
[tex] {sin( B' )} = \frac{sin(90)}{1200} \times 1018.17 [/tex]
The angle between the coastline and his view to the boat, B', is therefore;
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1.) A train travels due north at a speed of 100mph and a wind blows due west at a speed of 10mph.What is the direction of the smoke?
Answer:
North West
Step-by-step explanation:
The middle of North and West is North West and if theoretically the smoke is going in both directions it has to be genuinely staying in the North West if that makes sense.
consider this equation
(thanks for the help!)
Answer:
it's a sin
chsheuheheuehhehrhrhrhr
Formulate the quadratic function that contains the points (-2,1), (0,1) and (1,4).
Answer:
Step-by-step explanation:
find x and y
please help !
x = 39 degrees
(alternate angles)
Angles in triangle = 180
49 + 39 = 88
So, the missing angle inside the triangle is 92
Angles on straight line = 180
180 - 92 = 88
y = 88 degrees
Hope this helps!
The Tropical Bay Resort complex is building a new irrigation system to ensure proper watering of their luscious landscape. Assuming $10 per linear foot, what is the cost for the minimum spanning tree
The minimum cost for this spanning tree has been calculated as $1100.
How to solve for the minimum spanning treeThis is solves as
AC + CD + DF + FE + EB
This would be
15 + 25+ 23 + 22 + 25
= 110
The minimum cost would be gotten by multiplying this valus with the amount per foot
= 10 * 110
= $1100
Hence the minimum cost of the spanning tree is $1100
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Find the measure of an interior angle of a regular nonagon (9-sided polygon).
Hint: (n-2)180
x=[?] degrees
The measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
How to determine the angle
The formula for sum of interior angles of a polygon is given as;
= ( n -2) × 180
Recall that a nonagon has nine sides, so , n = 9
Substitute the value into the formula
= ( 9 -2) × 180
= 7× 180
= 1260°
Since the sum of the angles = 1260°
One of the angles = 1260/ 9 = 140°
Therefore, the measure of an interior angle of a regular nonagon (9-sided polygon) is 140°
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If the cost of 70kg of rice is Rs 5600, find the cost of 1 quintal of rice.
Answer:
solution
Given,
70 kg rice =Rs.5600
1 kg= Rs5600÷70
=Rs.80
Rs.80 is for per kg.
For 1 quintal
1 quintal=100 kg
Then,
100×80
=Rs.8000.
Small group activities, snack time, and transitions between classroom activities can provide quick opportunities for children to practice the quick recognition of small quantities. This skill is known as:
A. Subitizing
B. Memorization
C. One- to - one correspondence
Answer:
A. Subitizing
Step-by-step explanation:
The skill to recognize small numbers of objects without counting is known as subitizing.
__
Additional comment
Some people are able to quickly recognize numbers as large as 8. More commonly in humans, the limit is about 6.
Most animals (and some insects) have an inborn ability to recognize and count up to 3. After that, the group size gets generalized to "many." Predators that hunt in groups take advantage of this limitation in their prey.
Please HELP!!!!!
The domain (input values) of the cosine function is:
A. angle measures less than 2π radians.
B. angle measures between 0 and π radians.
C. angle measures less than 90°.
D. all negative and positive angle measures.
SUBMIT
Answer: D. all negative and positive angle measures.
If the number of eight dollar child tickets is 17 less than three times the number of $12 adult tickets and the theater took in $584 how many of each tickets were sold
Complete the equation of this circle:
(x − [?])²+(y - [ ])²=[ ]
Answer:
(x-{-2})^2+(y-{4})^2={36}
Equation:
x^2+y^2=r^2
r=radius
Blank following x/y is flipped center(of circle) coordinate for x/y
Prove: The product of the slopes of lines AC and BC is -1.
Given that the AC and BC are perpendicular, their slopes are the negative inverse of each other which gives that the product of the slopes of AC and BC is -1
How can the prove that the product of the slopes is -1 be found?The completed proof is presented as follows;
The slope of AC or GC is GF/FC by definition of slope. The slope of BC or CE is DE/CD by definition of slope.
<FCD = <FCG + <GCE + <ECD by angle addition property <FCD = 180° by the definition of a straight angle, and <GCE = 90° by definition of perpendicular lines. So by substitution property of equality 180° = <FCG + 90° + <ECD. Therefore 90° - <FCG = <ECD, by the subtraction property of equality . We also know that 180° = <FCG + 90° + <CGF by the triangle sum theorem and by the subtraction property of equality 90° - <FCG = <CGF, therefore <ECD = <CGF by the substitution property of equality. Then <ECD ≈ <CGF by the definition of congruent angles. <GFC ≈ <CDE because all right angles are congruent. So by AA ∆GFC ~ ∆CDE. Since the ratio of corresponding sides of similar triangles are equal then GF/CD = FC/DE or GF•DE = CD•FC by cross product. Finally, by the division property of equality GF/FC = CD/DE. We can multiply both sides using the slope of using the multiplication property of equality to get GF/FC × -DE/CD = CD/DE × -DE/CD. Simplify so that GF/FC × -DE/CD = -1. This shows that the product of the slopes of AC and BC is -1.
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PLEASE I NEED THIS ASAP PLEASE
The correct option is the second one:
i) right, right, left.ii) Undefined.What can we say about the calculation?We know that:
x > 0z > 0y < 0We have the operation:
x - y + (-z)
Notice that because y is negative, then -y is positive.
Because z is positive, -z is negative.
Then we have:
positive + positive + negative
Or, in the number line:
right, right, left.
Second question:
Can we conclude the sign of the outcome?
No, we can't, the sign will depend on the values of x, y, and z.
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Answer:The correct option is the second one:i) right, right, left.ii) Undefined.
Step-by-step explanation:
Anja represents the inequality startfraction 4 minus g over 8 endfraction less-than-or-equal-to negative 15 with the phrase "the quotient of the difference of 4 and a number and 8 is at least –15." which describes anja’s error? anja phrase should have stated "the difference of a number and 4" not "the difference of 4 and a number". anja phrase should have stated "the quotient of a number and 8" not "the quotient of the difference of 4 and a number and 8". anja’s phrase should have ended with "less than –15", not "at least –15". anja’s phrase should have ended with "at most –15", not "at least –15".
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Given statement:
Anja represents the inequality (4-g)/8 <-15
With the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to (4-g/8)
"at least" means : <
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to (4-g)/8 <-15
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
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Which the most accurate statement about progress monitoring?
a. Progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in.
b. Incorporating children's individual differences into lesson planning is not necessary since the curriculum includes all the skills children need to learn in the order they need to learn them.
c. Progress monitoring is about administering formal assessments at the beginning and end of the year.
The most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A
What is progress monitoring?
Progress monitoring can be defined as a standard process of evaluating or checking progress toward a performance target on the basis of level of improvement from frequent assessment of a skill.
Thus, the most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A
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what is the slope of the line that contains the points (-1, 8) and (5, -4)
Answer:
-2
Step-by-step explanation:
To find slope, we need to use the formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
Substituting your coordinates (-1,8) and (5,-4) , we get -2 as a result.
Hope this helped!!
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )
m = [tex]\frac{-4-8}{5-(-1)}[/tex] = [tex]\frac{-12}{5+1}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
When graphing the function f(x)=x^2-81/x^2-11x 18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?
An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.
We have been given a rational function:
[tex]f(x)=\frac{x^{2} -81}{x^{2} -11x+18}[/tex]
And we are required to determine an appropriate viewing rectangle for the graphing calculator.
Hence, An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.
For the given function, an appropriate viewing rectangle will be [-20,20,2] by [-20,20,2].
This function, when graphed using a graphing calculator on the said viewing rectangle, it appears as attached.
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Brad has the option of using three types of tables in his bagel shop: square tables with a side length of 39 inches rectangular tables 23 inches wide and 71 inches long round (circular) tables with a diameter of 48 inches. Which type of table has the largest area?
The type of table that has the largest area is circular table
How to find area of figures?area of a square = l²
where
l = lengthTherefore,
area of the square table = 39² = 1521 inches²
area of a rectangle = lw
where
l = lengthw = widthTherefore,
area of the rectangular table = 23 × 71 = 1633 inches²
area of a circle = πr²
where
r = radiusTherefore,
area of a circular table = π × (48 / 2)² = 576π = 1808.64 inches²
Therefore, the table that has the largest area is the circular table.
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the graph below shows the quadratic function of f and the table below shows the quadratic function of g -1 0.75 2 2.75 3 2.75
The correct information based on the equation is that the functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
How to illustrate the information?From the graph of f(x):
⇒ Axis of symmetry will be at x = 2
⇒ The maximum value of f(x) = 4
From the table of g(x):
⇒ Axis of symmetry will be at x = 2
⇒ The maximum value of g(x) = 3
The graph is attached.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
Here is the other part of the question:
Which statement is true?
The functions f and g have the same axis of symmetry, and the maximum value of f is less than the maximum value of g.
The functions f and g have the same axis of symmetry, and the maximum value of f is greater than the maximum value of g.
The functions f and g have different axes of symmetry and different maximum values.
The functions f and g have the same axis of symmetry and the same maximum values.
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Write a formula for the following:
The amount in an account at the end of a year, if simple interest is paid at
the rate of 16%, and the account contains d dollars at the beginning of the year.
Answer:
A = 1.16d
Step-by-step explanation:
Multiplying by 1 + the percentage value is equivalent to adding the percentage.
Volume of a cone 27cm 13 cm
The volume of the cone is 4775.94 cu.cm
What is a cone ?A cone is a three dimensional shape which has a circular base and then tapers down to a point called as Vertex.
It is given that the cone has
Height = 27 cm
Radius = 13 cm
The volume of the cone is given by
V = (1/3)πr²h
Volume = (1/3) * 3.14 * (13)² * 27
Volume = 4775.94 cu.cm
Therefore the volume of the cone is 4775.94 cu.cm
The complete question is
Find the volume of the cone of height = 27 cm and radius is 27 cm.
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Point X is on line segment WY. Given WY=16 and WX=10, determine the length XY
The length of XY on the line segment WY is 6 units.
How to find line segment?The full line segment is WY.
Point X is on the line segment WY.
Therefore,
WY = 16 units
WX = 10 units
XY = WY - WX
Hence,
XY = 16 - 10 = 6 units.
Therefore, the length of XY on the line segment WY is 6 units.
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If f(x) = 2x² + 3 and g(x)=x2-7, find (f- g)(x).
Step-by-step explanation:
arithmetic operations with functions just means to do these operations with the function expressions. and the result is the resulting function.
so,
(f - g)(x) = f(x) - g(x) = (2x² + 3) - (x² - 7) =
= 2x² + 3 - x² + 7 = x² + 10
Express the number as a ratio of integers.
0.16 = 0.16161616...
0.16 = 0.16161616... as a ratio of integers is 16 : 99
How to express as a ratio?The equation is given as:
0.16 = 0.16161616...
The above is a non-terminating decimal.
It can be represented as:
a/b - 1
Where
a = 16
b = 100
So, we have:
16/100 - 1
Evaluate the difference
16/99
Express as ratio
16 : 99
Hence, 0.16 = 0.16161616... as a ratio of integers is 16 : 99
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What is the definition of yield to maturity?
Review Later
The return the investor gets from the income component of a bond as a percent of it's current price
The overall return the investor makes as a percent of a bond's par value
The overall return the investor makes if they purchase a bond today and hold to maturity
The return the investor gets from the income component of a bond as a percent of it's par value
The yield to maturity best defined by the option c. The overall return the investor makes if they purchase a bond today and hold to maturity.
It is the total return of rate that will have been incomed by a bond when it makes all liability payments and repays the principal amount.
Since, as per the definition of yield to maturity, investor would get the original price of bond plus and the rate of interest that finalized (at the time of bond purchase) when the maturity period will over.
Thus, the overall return the investor makes if they purchase a bond today and hold to maturity. Best describes yield to maturity.
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