9514 1404 393
Explanation:
The vectors representing the diagonals are ...
AC = C - A = (9, -3) -(-3, 1) = (12, -4)
BD = D - B = (2, -4) -(4, 2) = (-2, -6)
The dot-product of these vectors is the sum of the products of corresponding coordinates:
(12)(-2) +(-4)(-6) = -24 +24 = 0
When the dot-product is zero, the vectors are perpendicular. These vectors are different lengths (BD = 1/2·AC), so they are not the diagonals of a square.
__
The midpoints of the diagonals will be in the same place if the quadrilateral is a rhombus.
(A +C)/2 = (B +D)/2
We can simplify our effort a bit by multiplying by 2.
A+C = B+D
(9, -3) +(-3, 1) = (2, -4) +(4, 2)
(6, -2) = (6, -2) . . . . . . . . . . . . . . . . yes, the midpoints are the same point
__
We have shown the diagonals of the quadrilateral are different lengths and perpendicular bisectors of each other, so the quadrilateral IS A RHOMBUS, NOT A SQUARE.
What is the area of the triangle?
4.24
3
3
Answer:
A = 4.5
Step-by-step explanation:
Area of a triangle:
A = 1/2bh
Given:
b = 3
h = 3
Work:
A = 1/2bh
A = 1/2(3)(3)
A = 1.5(3)
A = 4.5
If the area of a rectangular pool is represented by (12x×x)-17x-5, the length could be represented by ... A.(3x+1) B.(3x+5) C.(4x-5) D.(4x+1)
Answer:
D.(4x+1)
Step-by-step explanation:
The area of the rectangular pool is given by
Area = length * breadth
Area = (12x×x)-17x-5
A= 12x²- 17x- 5
Factorising the quadratic equation by mid term break rule.
A= 12x²- 20x + 3x- 5
( when we multiply 12 and -5 we get -60 . We need two numbers which when added give -17 and when multiplied give -60. The two numbers would be -20 and +3. The minus has to be with the bigger number as we need - 17.)
A = 4x( 3x- 5) + 1( 3x-5)
(taking commons will evaluate it further.)
A= (3x-5) (4x+1)
so the length could either be 3x-5 or 4x+1
From the given options we have
4x+1 as the length because the rest do not match the factors obtained.
A scuba diver descended at the rate of 8 feet per second for one minute what was her total change in elevation over that period of time.
Answer:
480
Step-by-step explanation:
if you are descending 8 feet per second for one minute, you have to multiply 8 by 60 and that gives you 480. Hope it helps!
What is an equation of the line that passes through the point (- 2, 7) and is perpendicular to the line x - 4y = 24 ? Pls help
Answer: y=4x-1
Step-by-step explanation: the line goes through (-2,7) and is perpendicular to the line x-4y =24
PLEASE HELP ASAP THIS IS A TIMED TEST. WILL GIVE POINTS AND BRAINLIEST.
Which angles are adjacent to each other? Select all that apply.
1. Angles 3 and 4
And/ Or
2. Angles 2 and 3
And/or
3. Angles 4 and 2
And/or
4. Angles 1 and 3
Answer:
I think 1 and 2 because they are near each other
Samantha invited 30 friend to her birthday party. If 2 out of 3 friend invited came to the birthday party, how many friends came?
HELP ME PLEASE!!!!!
Answer:
20 people
Step-by-step explanation:
Kelvin ordered four pizzas for a birthday party. The pizzas were cut in eights. How many slices were there?
Answer: 32
Step-by-step explanation:
4(8)=32
What are the answers to these?
What would be formed by a cross-section parallel to the base of a octagonal pyramid?
A. octagon
B. circle
C. trapezoid
D. triangle
Answer:
A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.
Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.
a) SSA
b) SSS
c) SAS
d) Not Congruent
Answer:
A. SSS
Step-by-step explanation:
Add the two functions.
f(x) = 3x3 + 7x − 26
g(x) = x + 2
Answer:
1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C
2. G ( x ) = 1/2X^2 + 2x + C
If θ is in Quadrant II and sin θ = √3/2 what is the cos θ?
A. -√3/2
B. -1/2
C. 1/4
D. 1/2
E. √3/2
If angle 3 is 4x+1 and angle 4 is 7X+3. what are the measures of angle 3 and 4?
if the radius of a circular chapatti is14 cm, what will be its area ?
Answer:
615.75216
Step-by-step explanation:
A=πr2
=π·14^2
≈615.75216
Answer:
[tex]r = 14cm \\ area = \pi \: r {}^{2} \\ area = 3.14 \times 14 \times 14 \\ area = 3.14 \times 196 \\{area = 615.44}[/tex]
What is the measure of angle B in degrees?
Answer:
<B=119
Step-by-step explanation:
Each line of the triangle is straight, meaning they add up to 180. Additionally, all the angles of the triangle add up to 180. Using that, you can find the measure of each angle.
For <C;
180-112=68
So <C=68
For <A;
180-51-68=61
So <A=61
To make sure that all these angles add up correctly;
51+68+61=180
For <B;
180-61=119
So <B=119
Enzo saw
45
squirrels at the park. This was
9
times as many squirrels as he saw in his yard.
Answer:
Its easy 45×9=405 simple Mental math
“For any numbers x and y, where x >0 and y > 0”
Answer:
I believe that the answer is true I could be wrong though
I will give brainliest!
1.2 which is 6/5 in fraction form
Answer:
1 13/15
Step-by-step explanation:
I use that too so I got it wrong to see what the answer was.
how do I find the value of m in 3.6+m=10
Someone please please help me I asked yesterday and nobody helped! I will mark brainliest if right! Explain!!!!
Answer:
[tex]ratio \: = 3 \: to \: 5 \\ thus if \: \: 3 = 15 \\ then \: 5 = \frac{5 \times 15}{3} = 25[/tex]
Solve for the surface area
Answer:
210.7
Step-by-step explanation:
7x8 (and multiply that by 3 for the 3 sides)
7x6.1 (times 2 for the 2 sides and divided by 2 because it is a triangle)
Anybody know how to do this?
7/19, 9/19 11/19
I hope this really helps
basically just add 2 on to the numerator
A farmer is going to plant more than 50 acres in corn this year.
If a represents the number of acres planted in corn, write an inequality to describe all possible values of a.
a>50A is greater than 50
a<50a<50
a≥50A is greater than or equal to 50
a≤50
Answer:
+ 1) is an even number.
Take any n ∈ N, then n is either even or odd.
• Suppose n is even ⇒ n = 2m for some m ⇒ n(n + 1) = 2m(n + 1) ⇒ n(n + 1) is even.
• Suppose n is odd ⇒ n+ 1 is even ⇒ n+ 1 = 2m for some m ⇒ n(n+ 1) = 2nm ⇒ n(n+ 1)
is even. QED
2. The sum of the first n natural num
Step-by-step explanation:
a>50A is greater than 50
a<50a<50
a≥50A is greater than or equal to 50
a≤50
Answer:
A. a > 50Step-by-step explanation:
If a is the number of acres, and the farmer is going to plant more than 50 acres, then the correct inequality is:
a > 50a cube has edges measuring 5 inches. Find the surface area of the cube.
Please help I only got 20 minutes to answer!!!!!!!!!
Answer:
r=c/2π
3/2π
=0.47746482927
Brainlist Pls!
THIS IS MY LAST ONE PLEASE HELP
Answer:
x=56
Step-by-step explanation:
okay so
x=180- (64+60)
x= 180-124
x= 56
A shop has a fridge in a sale.The shop gives an extra 10% off the sale price of the fridge. Oliver says,"Altogether this is a saving of 30%"Is he correct?
Answer:
He is incorrect
Step-by-step explanation:
Given
[tex]Price\ off = 10\%[/tex]
Required
Is the total savings, 30%
From the question, we understand that the price of is 10%.
Since there is no other deduction to the original price of the fridge, then the 10% represents the total savings.
Hence: 30% savings is incorrect.
Please help me!! I will mark brainliest! Explain!!!
Answer:
[tex]ratio \: = 3 \: to \: 5 \\ thus \: if \: 3 = 15 \\ then \: 5 = \frac{15 \times 5}{3} = 25[/tex]
help pls D; I’ll mark brainliest :D
Answer:
6, -6 is the answer
36 is in the second quadrant that’s why.
Step-by-step explanation:
Which is the table that shows the multiplication of x2 - 4x + 4 and 6x + 3?
Ο Α.
6x
3
x2
6x3
3x2
--4x
-24x2
-12x
4
24x
12
B.
6x
3
x²
6x2
3x2
-4x
-24x
-12x
4
24x
12
O
C.
X2
6x
3
6х3
-4x
-24x2
-72x2
4
24x
72x
18x3
