Step-by-step explanation:
on the coordinate grid you can imagine a right-angled triangle.
the direct distance between the 2 points is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y- coordinate difference of the 2 points are the 2 legs.
we can then use Pythagoras
c² = a² + b²
with c being the Hypotenuse, a and b being the legs.
so,
distance² = (8-0)² + (2-0)² = 64 + 4 = 68
distance (= length ab) = sqrt(68) = sqrt(4×17) = 2×sqrt(17) =
= 8.246211251...
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
10
9
8
7
E
R
M
s
0
N
А
B
-10
.
The coordinates and relations between the points are:
· A(-3,-3); B(5,-3); C(5,5); E(-3,5)
Points S, P, Q, and R are midpoints of ABCE
T,N, Q, and M are midpoints of PQRS
Write the equation of line M L. Show your work.
.
From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
The coordinates and relations between the points are:
A(-3,-3), B(5,-3), C(5,5), and E(-3,5)
Then the equation of the line ML will be
From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).
Then the equation will be
[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]
Then the equation of the line ML will be y - 3 = 0.
More about the coordinate geometry link is given below.
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Which part of a story shows how the climax affected the characters?
Falling action
Rising action
Exposition
Resolution
Answer:
Falling action
Step-by-step explanation:
Falling action in a basic plot structure is the events that happen after the climax and before the resolution. This part of your story is often used to show the consequences of the climax and how it affects the characters.
If l is parallel to m in the following figure, find the measure of x
Check the picture below.
Make x the subject to this formula 4x + 3y =2
4x+3y=2
4x=2-3y
x= 2/4 - 3/4 y
x= 1/2- 3/4y
(x= 0.5 - 0.75y)
[tex]\boxed{ \ \sf x=\dfrac{2-3y}{4} \ }[/tex]
Explanation:[Given]
[tex]\sf \rightarrow 4x + 3y =2[/tex]
[Exchange Sides]
[tex]\sf \rightarrow 4x =2-3y[/tex]
[Divide both sides by 4]
[tex]\sf \rightarrow \dfrac{4x}{4} =\dfrac{2-3y}{4}[/tex]
[Simplify]
[tex]\sf \rightarrow x=\dfrac{2-3y}{4}[/tex]
A pane of antique glass has dimensions of 30cm x 56cm. If the glass sells for 25 cents per square cm, what is the cost of the pane?
Given :-
Dimensions of pane is 30cm×56cmCost of pane per square cm is 25 centsTo find :-
Cost of the paneSolution:-
Hey mate , to find the total cost of pane we have to find the area of pane and multiply it by 25 cents
Area of pane :- 30×56cm²
Area of pane :- 1680cm²
Cost of pane :- 1860×25 cents
Cost of pane :- 42000 cents or 420$
What is the surface area of this right prism?
Enter your answer in the box.
cm²
NEED HELP ASAP!!! 20 POINTS!!!!
Answer:
Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by
surface area of prism = 2 * area of base + perimeter of base * H
So for the rectangular prism in your example..
surface area = 2LW + 2(L+W)H
= 2 * 7 * 4 + 2*(7+4)*5
= 56 + 2 * 11 * 5
= 56 +110
= 166 sq cm
Hope this helps
How long will it take to triple a sum of money if it is invested at a rate of 6.25% compounded continuously? Round your answer to 2 decimal places.
Answer:
So the answer is approximately 18 years
Step-by-step explanation:
Your interest rate is 6.25%, or, 0.0625
A=P⋅(1+(r/n))^nt
Where:
P is the initial amount
r is annual rate of interest
t is number of years
A is the final amount of money
n is the number of times the interest is compounded per year
So
3P=P(1+0.0625)
3P=P (1.0625)^t
3=1.0625^t
Now we should use logarithmic functions.
ln(3)=t⋅ln(1.0625)
ln(3)ln(1.0625)=t
t=18.12 years
a line passes through the point (-9,1) and has a slope of 4/3. Write an equation in slope-intercept form for this line.
Answer: y=4/3x+1
Step-by-step explanation:
The formula is Y=mx+b
b is the y-intercept and MX is slope
what is the measure of BDC?
A doctor claims that the mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night. To investigate, he selects a random sample of 50 high school seniors from all high schools in his county. He also selects a random sample of 50 seniors from the colleges in his county. He constructs a 95% confidence interval for the true mean difference in the number of hours of sleep for seniors in high school and seniors in college. The resulting interval is (0.57, 1.25). Based upon the interval, can the doctor conclude that mean number of hours of sleep that seniors in high school get per night differs from the mean number of hours of sleep college seniors get per night?
yes because 1 is in the confidence interval
yes because 0 is not in the confidence interval
no because 1 is in the confidence interval
no because 0 is not in the confidence interval
Considering the given confidence interval, the correct option regarding the conclusion of the hypotheses test is given by:
yes, because 0 is not in the confidence interval.
What are the hypotheses tested?At the null hypotheses, it is tested if the difference is equals to zero, that is:
[tex]H_0: \mu = 0[/tex].
At the alternative hypotheses, it is tested if it is different, hence:
[tex]H_1: \mu \neq 0[/tex].
The confidence interval is (0.57, 1.25). Since it does not contain 0, there is enough evidence that the difference is different of 0, hence the correct option is given by:
yes, because 0 is not in the confidence interval
More can be learned about confidence intervals at https://brainly.com/question/25890103
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if the area of a square is 32f^2 how long is its diagonals?
Which table of values was used to create the scatterplot below? A graph titled Fundraiser Amounts has Day of Fund Drive on the x-axis and Money Raised (dollars) on the y-axis. Points are at (1, 200), (2, 300), (3, 200), (4, 400), (5, 300). A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 400, 200, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 300, 400. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300. A 2-column table with 5 rows. Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 200, 300, 400, 300.
The table of values used to create the scatterplot below is:
Column 1 is labeled Day of Fund Drive with entries 1, 2, 3, 4, 5. Column 2 is labeled Money raised (dollars) with entries 200, 300, 200, 400, 300
Which table of values was used to create the scatterplot below?The graphs x axis represents the Day of Fund Drive and y axis represents Money Raised.
The ordered pairs from the plot are:
(1, 200), (2, 300), (3, 200), (4, 400), (5, 300)
Therefore, the table of values used to create the scatterplot below will be:
Day of Fund Drive Money raised (dollars)
1 200
2 300
3 200
4 400
5 300
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Answer:
C.
Step-by-step explanation:
Edge 2023
Find the surface area to the nearest square foot.
how to do this?
Identify the range of the function shown in the graph
Answer:
0 ≤ y ≤ 8
Step-by-step explanation:
DOMAIN is x values of a function/graph
RANGE is the y-values that a function can have .....
this one goes from 0 to 8 inclusive
Can someone please solve this for me using that method thank you I give brainliest
Solve this
4 ∙ 7 1/2 ∙ 1 3/5
Step-by-step explanation:
[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]
[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]
[tex] = \frac{3}{1} . \frac{4}{1} [/tex]
[tex] = 12[/tex]
[tex] \: [/tex]
HELp!!! 100 POINTS.
What is the formula of g in terms of f?
Answer: C
Step-by-step explanation: bcuz
Answer:
[tex]\textsf{A)} \quad f\left(-\dfrac{1}{2}x\right)[/tex]
Step-by-step explanation:
From observation of the given graph, function f has been reflected across the y-axis.
When a graph is reflected across the y-axis, the y-coordinate stays the same while the x-coordinate is negated.
Therefore, replace y = f(x) with y = f(-x), so:
[tex]\implies g(x) = f(-x)[/tex]
It appears that the graph has also been stretched parallel to the x-axis.
When a graph is stretched parallel to the x-axis the x is multiplied by a constant. If the constant is greater than 1, the graph is compressed. If the constant is greater than zero and less than 1, the graph is stretched.
As the graph has been stretched, the constant is 0 < c < 1, so:
[tex]\implies g(x)=f\left(-\dfrac{1}{2}x\right)[/tex]
What is the volume of a cylinder, in cubic centimeters, with a height of 7 centimeters and a base diameter of 18 centimeters? Round to the nearest tenths place
Answer:
the answer is 126 cm
sana makatulong
Can you guys help me please :(
Answer:
circumference formula = πd or 2πr .. they are the same thing
G is the answer
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white? 1/3. 2/3. 3/4. 15/16
Answer:
2/3
Step-by-step explanation:
total marbles is (8 black+ 16 white + 14 red +10 green) = 48
no white cmarbles ( 8+14+10) = 32
32/ 48 = 2/3
32/16= 248/16 =3please do answer:
Simplify the expression---5x-2y + 3x + 2y
(100 points)
Combine like terms
5x+3x-2y+2y(5+3)x+(-2+2)y8x+08xAnswer:
8x
Step-by-step explanation:
Given expression:
[tex]5x - 2y + 3x + 2y[/tex]As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]
[tex]\implies 5x - 2y + 3x + 2y[/tex][tex]\implies 5x + 3x + 0[/tex]Collect like terms and simplify;
[tex]\implies 5x + 3x + 0[/tex][tex]\implies x(5 + 3) + 0[/tex][tex]\implies x(8) + 0 = \boxed{8x}[/tex]Therefore, 8x is the simplified term.
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A box is filled with 5red crayons, 9blue crayons, and 6yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon.
Write your answer as a fraction in the simplest form.
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
P(R or B)=[tex]\frac{5}{20}+\frac{9}{20}[/tex]
=[tex]\frac{7}{10}[/tex]
help me this is very hard
Answer:
B. 60
Step-by-step explanation:
1. take the square root of 64
2. multiply 8*10 and 5*4
3. subtract
Square root of 64 is 8 so,
10*8 - 5*4
80 - 20 =
60
(b) A square has a perimeter of 80 ft. What is the length of each side?
Answer:
20 ft
Step-by-step explanation:
There are 4 equal sides to a square so one side is 80/4 = 20 ft
It costs $10 to enter a theme park and $2 for each ticket, t. Which equation represents the total cost, c, of going to the theme park?
This is very confusing to me
Answer:
the system is inconsistent
also ,Check the attached graph
Step-by-step explanation:
let D₁ be the line of equation 3x - 9y = 36
D₂ be the line of equation 2x - 6y = -8
In order to graph D₁ we need to find two point shot that lie on it.
→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4
Then the point C(0 , -4) lies on D₁
→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3
Then the point D(3 , -3) lies on D₁
Therefore,
D₁ is the line that connects the points C and D
Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂
Then D₂ = (AB)
After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.
Therefore ,we say that’s the system is inconsistent
How do you find x in this question?
Answer:
x = 70°
Step-by-step explanation:
The relevant relations are ...
base angles of an isosceles triangle are congruentconsecutive interior angles where parallel lines meet a transversal are supplementary__
Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...
(40° +x) +x = 180°
2x = 140° . . . . . . subtract 40°
x = 70° . . . . . . divide by 2
_____
There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.
PLEASE HELP SOLVE GEOMETRY PLEASE HELP SOLVE
Malachy rolls a fair dice 168 times.
How many times would Malachy expect to roll a number greater than 5?
Answer:
28 times
Step-by-step explanation:
On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.
can someone help me plss the deadline is tmrw
Answer:
73.77 ft²
Step-by-step explanation:
Area of circle - area of square
= πr² - (length × width)
= (3.14 × 8.1²) - (11.5 × 11.5)
= 73.7654
≈ 73.77 ft²
hope this helps =)
Answers:
Circle area = 206.02 square feetUnshaded area = 132.25 square feetShaded area = 73.77 square feetThe "square feet" portions are already handled by your teacher, so you'll just type in the numbers only.
======================================================
Explanation:
The formula for the area of a circle is
A = pi*r^2
We replace pi with its approximation 3.14, and plug in the radius r = 8.1 to get the following approximate area:
A = 3.14*(8.1)^2
A = 206.0154
A = 206.02 which is the answer to the first box
--------------------------
The unshaded region is a square of side length 11.5 ft
Its area must be (11.5)^2 = 132.25 square feet
--------------------------
Subtract the results of the previous boxes to get the shaded area.
206.02 - 132.25 = 73.77