Answers
Answer:
area of parallelogram=base×height=21×9=189cm²
Related Questions
Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary
Answers
Answer:
The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C
Step-by-step explanation:
The formula of the distance between the two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
Let us use the formula above to solve the question
∵ Jk is a line segment
∵ J = (4, 8) and K = (-1, -2)
∴ x1 = 4 and y1 = 8
∴ x2 = -1 and y2 = -2
→ Substitute them in the formula above
∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]
∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]
∴ Jk = [tex]\sqrt{25+100}[/tex]
∴ Jk = [tex]\sqrt{125}[/tex]
→ Simplify the root
∵ 125 = 5 × 5 × 5
∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]
∴ JK = 5[tex]\sqrt{5}[/tex]
∴ The length of segment JK is 5[tex]\sqrt{5}[/tex]
Which system of equations represents the graph?
Answers
Answer:
B
Step-by-step explanation:
if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.
peter types 360 words in half an hour how many words would he type in 10 minutes typing at the same rate
Answers
Answer:
120 words I believe
Step-by-step explanation:
360÷3=120
What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?
Answers
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )
Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )
Now , the equation for the slope of the line is given by ,
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )
Slope m = 2 / -1
Slope m = -2
Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
To learn more about equation of line click :
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Part A what is the measure of the missing angle in the triangle?
Answers
Answer:
39
Step-by-step explanation:
the interior angles of a triangle equal 180.
180-(51+90)
180- 141 = 39
hope this helps :)
Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540. Which school offers the better deal?
Answers
Answer:
Piano Play
Step-by-step explanation:
Answer:
Piano Play offers the better deal.
Step-by-step explanation:
If you divide $525 by 10 you will get $52.50 every hour for Make Music but if you divide $540 by 12 you will get $45 every hour for Piano Play so Piano Play offers the better deal.
Hope this helps!!
place the following numbers in order from least to greatest
-8.2, 0.4, NEGATIVE 2 AND 1/2, and 2.4
Answers
Answer:
-8.2,-2 1/2, 0.4,2.4
Step-by-step explanation:
hope that helps
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answers
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
What is 87,000,000 in scientific notation
Answers
Answer:
8.7 * 10^7
Step-by-step explanation:
Scientific notation is a representation of huge but countable numbers at it's unit place with an expansion of the powers of 10.
Hence,
87,000,000
=87*10^6
=8.7*10^7
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
Answers
It’s just an attempt
YALL BETTER ANSWER THIS PLSSSSSSSSSSS
Answers
Answer:
= 3/16(0.1875)Step-by-step explanation:
explanation in the image.Answer:
Step-by-step explanation:
Take out lignes
-1/4x-3/7
= -7/12
help me please due in 2 minutes
Answers
ASAP PLS....I need this for tomorrow:(
Answers
Answer:
your answer is 2x2y
Step-by-step explanation:
that's it
Bob buys eggs and potatoes at the store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount.
What equation can be used to determine the cost, x, of each bag of potatoes?
Answers
Which of the following expressions are equivalent to 20t5⋅2−4t?
There may be more than one correct answer. Select all that apply.
Answers
Answer:mark brain list answers
mark
get 3 point
freee
Step-by-step explanation:
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
Answers
How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
Worked-out examples on 180 degree rotation about the origin:
1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5)
(ii) The new position of the point B (-2, 7) will be B' (2, -7)
(iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.
Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.
Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:
M (-2, 3) → M' (2, -3)
N (1, 4) → N' (-1, -4)
Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.
Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:
P (1, 4) → P' (-1, -4)
Q (3, 1) → Q' (-3, -1)
R (2, -1) → R' (-2, 1)
Thus, the new position of ∆PQR is ∆P’Q’R’.
Answer:
im not sure if there is a picture it would help more :)
Step-by-step explanation:
Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he traveling?
Answers
Answer: 8 hours
Step-by-step explanation: You would first multiply 2 hours by 4 mph, and get 8 miles. You would then subtract 8 miles from 26 miles, and have 18 miles left. You would now divide 18 miles by 3, as he is now traveling 3 miles per hour and needs to travel 18 miles. You would get 6 hours. You would now add 6 hours by the 2 hours initially traveled at 4 mph, and get 8 hours.
Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.
Answers
Answer:
(0,-5)
Step-by-step explanation:
my work is in the picture I attached. lmk if you'd like me to explain more :)
Step-by-step explanation:
HELP QUICKLY!!!
what is the y intercept of the line
Answers
Answer:
-23
Step-by-step explanation:
the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23
9 3/4 as a percent step by step
Answers
Answer:
9 3/4 in a percent is 975%.
If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%
the product of two consecutive integers is 72. find the integers
Answers
Answer:
the integers are 8 and 9
Step-by-step explanation:
consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.
Which of the following statements about the congruent triangles below is true?
A.) AB=DE
B.) AC=EF
C.) AC=DE
D.) BC=DE
Answers
Answer:
AB=DE
Step-by-step explanation:
they're literally the only pair on the same sides lol
The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have two triangles shown in the picture.
As we know from the definition of the congruent triangle, the same size, and shape.
The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle
Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
Learn more about the congruent triangle here:
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Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?
Answers
Answer:
392000
Step-by-step explanation:A=p(1+
Tristán wants to build a square garden in his backyard if the garden is going to be 64 ft2 how many feet of material will he need for the perimeter of the garden
Answers
Answer:
Tristan will need 32 feet of material for the perimeter of the garden.
Step-by-step explanation:
Given that
Area of square garden = A = 64 square feet
Perimeter = P = ?
We know that for calculation of perimeter, length of side of square is required which is not directly given in the question. The area will be used to calculate length of side and then length will be used to calculate the perimeter.
So,
[tex]Area = A = s^2[/tex]
s is for side
Putting the value of area
[tex]64 = a^2[/tex]
Taking square root on both sides
[tex]\sqrt{s^2} = \sqrt{64}\\s = 8\ feet[/tex]
The length of side is 8 feet.
Perimeter will be:
[tex]P = 4*s\\P = 4*8\\P = 32\ feet[/tex]
Hence,
Tristan will need 32 feet of material for the perimeter of the garden.
I have no idea how to do this, any clues?
Answers
Answer:
(2x-5)+(x+25)+x
4x+20
Step-by-step explanation:
Simplify the expression.
a plane ticket to Barcelona costs £175
Answers
Answer:
Given:
A plane ticket to Barcelona costs £175 the price decreases by 6%
To find:
The new price of the plane ticket
Solution:
The ticket to Barcelona costs £ 175
The price decreases by 6%
⇒ 6% = 6/100 = 3/50
The new price of the plane ticket is decreased by the amount,
= £ 175 × 3/50
= £ 10.5
Therefore, the new price of the plane ticket is given by,
= £ 175 - £ 10.5
= £ 164.5
ik this question i got at school
Answer: £175
Step-by-step explanation:
You said it costs £175
need help with slope from two points
Answers
Answer:
whatz slope
Step-by-step explanation:
??
aflati termenul necunoscut din egalitatile de mai jos
a)x-2002=41535-1003 b)20+x-30=150-20;
c) x-(284-130)=110 d)853-(x + 1)=249;
e)613-(243-11-x)=549; f)312+11-(x+4)=323-(51+93
Answers
Answer:easy thats C
Step-by-step explanation:
enjoy
what's the slope intercept form
Answers
i need the answer to this please help
Answers
Answer:
-1/11
Step-by-step explanation:
[tex]\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}[/tex] add 1/6 to both sides
[tex]\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}[/tex] make the same denominator 12 on the right side
[tex]\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}[/tex] solve
[tex]\frac{11x}{12} =\frac{2}{12} -\frac{3}{12} =\frac{2-3}{12} = \frac{-1}{12}[/tex]
[tex]\frac{11x}{12}*12 =\frac{-1}{12} *12[/tex] multiply by 12 both sides
11x= -1 divide by 11
x= -1/11