Answers
Answer:
a)Fourth coordinate (- 4 , 1 )
b)Dimension : 6 unit by 3 unit
c)Area = 18 square units
Step-by-step explanation:
Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)
Find D.
Let D = (x , y)
For a rectangle, mid point of diagonal are same.
[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]
Since mid-points are same. Equate :
[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]
[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]
a)
Therefore, D = ( -4, 1)
Since parallel sides of a rectangle are the same.
We will find the length of the sides using distance formula.
Distance between ( 2, 1 ) and ( 2, 4)
[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]
AB = 3
Distance between ( 2 , 4 ) and ( -4 , 4)
[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]
BC= 6
CD is parallel to AB , therefore CD = 3
AD is parallel to BC, therefore AD = 6
b) Dimensions : length = 6 , breadth = 3
c) Area = Length x Breadth
= 6 x 3
= 18 square units
Related Questions
pleaae help me solve this 61/2×(8/9÷13/18)+(3/4) of 31/5
Answers
Answer:
[tex]10 \frac{2}{5}[/tex]
Step-by-step explanation:
Using BODMAS
[tex]6\frac{1}{2} \times (\frac{8}{9} \div\frac{13}{18}) + ( \frac{3}{4} )\ of \ 3\frac{1}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ expression \ inside \ bracket \ ]\\\\\frac{13}{2} \times (\frac{8}{9} \times \frac{18}{13}) + (\frac{3}{4}) \ of \ \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \ ]\\\\\frac{13}{2} \times (\frac{16}{13}) + (\frac{3}{4}) \ of \frac{16}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ solving \ of \ ] \\\\[/tex]
[tex]\frac{13}{2} \times (\frac{16}{13} ) + (\frac{3}{4} \times \frac{16}{5} )\\\\\frac{13}{2} \times (\frac{16}{13} ) + \frac{12}{5} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ solving \ \times \ expressions \ ] \\\\(\frac{13}{2} \times \frac{16}{13}) + \frac{12}{5}\\\\8 + \frac{12}{5}\\\\\frac{40 + 12}{5}\\\\\frac{52}{5}\\\\10\frac{2}{5}[/tex]
Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.
What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.
12.0 units
12.4 units
15.0 units
15.4 units
Answers
Answer:
15.4 units
Step-by-step explanation:
sqrt(5²+4²) = sqrt(41) = 6.4
the other two legs are 5 and 4
so perimeter
= 4+5+6.4 = 15.4 units
What is the surface area of LMNOPQRS? If necessary, round your answer to the nearest tenth.
Answers
Answer:
5
Step-by-step explanation:
Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error
Answers
Answer:
5%
Step-by-step explanation:
Percent error = (actual - estimated) / actual x 100
(240 - 228) / 240 x 100 = 5%
15
9
determine the value
coso
Answers
Answer:
36.87°
Step-by-step explanation:
Given the right angle triangle :
To obtain the value of Cosθ ; we use the trigonometric relation :
Cosθ = Adjacent / Hypotenus
The adjacent angle isn't given :
Opposite = 9 ; hypotenus = 15
Adjacent = √(hypotenus ² + opposite ²)
Adjacent = √(15² - 9²)
Adjacent = √(225 -81)
Adjacent = √144 = 12
Hence,
Cos θ = 12/15
θ = Cos^-1(12/15)
θ = 36.87°
3, 6, 9, 12, 15,
Tlie common difference " is
Answers
Answer:
The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.
Can someone helpppppppp
Answers
Answer:
f(-2) = -3
Step-by-step explanation:
When x = -2 we want the value of y
We use the closed circle value ( open circle does not have a value)
f(-2) = -3
Please hurry i want the answer of this question please
Answers
[tex]\displaystyle\bf 1200=12*100=3*4*(2*5)^2=3*2^2*2^2*5^2=2^4*3^1*5^2 \\\\Answer: \boxed{ A)\quad a=4 \quad ; \quad b=1 \quad ; \quad c=2}[/tex]
Condense the expression into a
single logarithm and simplify.
2log10x + + log105
Answers
Answer:
log10( 5x^2)
Step-by-step explanation:
2 log10 (x) + log10 (5)
we know that c loga (b) = log a (b^c)
log10 x^2 + log10 (5)
We also know that logc a + logc b = logc (ab)
log10 (x^2* 5)
log10( 5x^2)
What is the value of b2 - 4ac for the following equation? 2x2 - 2x - 1 = 0 -4 12 0
Answers
Answer:
I think you mean the equation is
[tex]2 {x}^{2} - 2x - 1 = 0[/tex]
And you must find
[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]
HELP!!!
f(x) =x^2. What is g(x)?
Answers
Answer:
C. g(x) = 4x²
Step-by-step explanation:
we have one specific point on g(x) : (1,4)
so, for x=1 the functional value (y) has to be 4.
A. (4×1)² = 4² = 16 and not 4. => wrong
B. 1/4 × 1² = 1/4 and not 4. => wrong
C. 4×1² = 4 and that IS 4 => correct
D. 16×1² = 16 and not 4 => wrong
If the first three Fibonacci numbers are given as x, = 1, X2 = 1 and x3 = 2,
what is the value of n for which X, + Xp = 55?
Answers
Answer:
n=8
Step-by-step explanation:
PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
p/s PLEASE READ THIS pls ignore the another language just read the english one..
Answers
Answer:
x -2 -1 0 1
y -1 2 5 8
Step-by-step explanation:
y=3x+5
When x=-2
y=3(-2)+5
y=-6+5
y=-1
when x=-1
y=3(-1)+5
y=-3+5
y=2
whenx=0
y=3(0)+5
y=5
When x=1
y=3(1)+5
y=3+5
y=8
Put these numbers in order from least to greatest.
3/4,0.6, and 0.7
Answers
Answer:
O.6, 0.7, 3/4 (0.75)
The nth term of a sequence is 20 – n?
a) Find the third term of the sequence.
b) Which term in the sequence
the first to have a negative value?
Answers
Answer:
a) 17
b) 21st term
Step-by-step explanation:
a) 20 - 3 = 17
b) 20 - 21 = -1
Which inequality can be used to explain why these
three segments cannot be used to construct a triangle?
Answers
Answer:
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?
Answers
Answer:
Graph translates 4 units to the left then 3 units up.
Step-by-step explanation:
The constant in the bracket changes for - 15 to -11 . A change of + 4.
This shifts the whole graph horizontally 4 units to the left.
The + 3 moves the whole graph 3 units upwards.
Prove that A - B = A-(A n B) using a Venn diagram
Answers
Step-by-step explanation:
my answer is an image above
!!!!!!!!!!!!!! Please read question correctly before answering
Answers
Answer:
19
Step-by-step explanation:
Conditional probability formula: A|B (A given B)= (A∩B)/B
So cold drink | large (cold drink given large)= (Cold∩Large)/Large
cold∩large= 5
large= 22+5= 27
5/27=.185185185
which i guess rounds to 19%
Josie is purchasing a $75 appliance for her kitchen. She has three coupons to the store that she can choose from. Which is a true statement about Josie’s options?
Answers
Answer:
where are the answer choices?
Step-by-step explanation:
SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.
Answers
Answer:
D
Step-by-step explanation:
Given y varies directly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then
[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )
[tex]\frac{2}{3}[/tex] = k
y = [tex]\frac{2}{3}[/tex] xz ← equation of variation
When x = 6 and z = 3 , then
y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Answer:
the answer to this question is
d.)y=⅔xz;y(6,3)=12
Trong k gian vecto R^3 , cho hệ B={u(2,1,-1),v=(3,2,5) , w=(1,-1,m)} a)xác định giá trị m để B là một cơ sở k gian R^3
Answers
Answer:
Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9
Solve (x + 9)2 = 25.
Answers
Answer:
x=3.5
Step-by-step explanation:
25÷2=12.5
12.5-9=3.5
Answer:
7/5 or 3.5
Step-by-step explanation:
2 (x+9) =25
x+9 = 25/2
x = (25/2) - 9
x = 7/2 in decimal = 3.5
if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Answers
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y. Select the two correct answers.
Answers
Answer:
x=15 y=24
Step-by-step explanation:
This is because the rule is x goes up 3 y goes up 4
(9,12)->(x,20)
it skips one, so instead of adding 3 we add six
x=15
(15,20)->(18,y)
you follow the rule and 4.
Y=24
Simplify the expression....
Answers
Answer:
−3x^2+2x /x−2
Step-by-step explanation:
4x−9x^3/ 3x^2−4x−4
= −9x^3+4x /3x^2−4x−4
= x(−3x+2)(3x+2) /(3x+2)(x−2)
= −3x^2+2x /x−2
The low temperature (t) was 8 Celsius and the high temperature was 16 Celsius, write it as an inequality.
Answers
Answer:
8 ≤t≤16
We know the low temperature was 8
8≤ t
And the high was 16
8 ≤t≤16
Step-by-step explanation:
Can someone help me out with this at all?
Answers
Answer:
1 maps to 1
2 maps to 3
3 maps to 2
Step-by-step explanation:
the correctly assigned answer options describe everything.
there is not much else to say and explain.
these are all true statements due to the symmetry principle of a circle.
when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.
and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.
Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?
Answers
Answer:
1.5 percent I 5hink 9ook
Use a calculator to find the r-value of these data. Round the value to three
decimal places
Answers
Answer:
-.985
Step-by-step explanation:
