Answer:
a) The perimeter of the rectangle =
= 22 units
b) The area of the rectangle
= 30 square units
Step-by-step explanation:
We solve the above question using the formula
= √(x2 - x1)² + (y2 - y1)²
When we are given vertices (x1, y1) and (x2, y2)
The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)
We have to find the length of the sides
Side A
(-1, -2), (-6, -2)
= √(-6 - (-1))² +( -2 -(-2))²
= √-5² + 0²
= √25
= 5 units
Side B
(-6, -2), (-6, -8)
= √(-6 - (-6))² + (-8 - (-2))²
= √(-6 +6)² + (-8 +2)²
= √0² + -6²
= √36
= 6 units
Side C
(-6, -8), (-1, -8)
= √(-1 - (-6))² +(-8 - (-8))²
= √(-1 + 6)² + (-8 + 8)²
=√ 5² + 0²
= √25
= 5 units
Side D
(-1, -2), (-1, -8)
= √(-1 -(-1))² + (-8 - (-2))²
= √(-1 + 1)² + ( -8 + 2)²
= √0 + -6²
= √0 + 36
= √36
= 6 units
From the above calculation,
Side A = Side C = 5 units
Side B = Side D = 6 units
Hence, this polygon is a quadrilateral called the RECTANGLE.
Therefore:
a) The perimeter of the rectangle =
2L + 2W
= 2(5) + 2(6)
= 10 units + 12 units
= 22 units
b) The area of the rectangle
= Length × Width
= 5 units × 6 units
= 30 square units
HELP FOR BRAINIEST!!
Please write each equation in Slope-Intercept Form!
Answer:
y=-2/3x-3 is the equation in slope intercept form
Step-by-step explanation:
Hope this helps (:
B Mrs. Sayers made a rectangular fence
around the school vegetable garden so it
would not get destroyed by students. She
constructed a fence that was 4 feet long, 2 feet
wide, and 3 feet high. How much material did
she use to build her fence?
Answer:
Mrs. Sayers utilized 24 sq. ft material to build her fence
Step-by-step explanation:
length x width x height = volume
4 x 2 x 3 = 8 x 3 = 24
what is the distance between points A(3,-5) and B(-8,2) on the coordinate plane?
Answer:
use distance formula
Step-by-step explanation:
Which expression is equivalent to 8(2x + 4)?
A. 16x + 32
B. 2x + 32
C. 16x + 4
D. 10x + 12
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!! GET IT WRIBNG ON PURPOSE I REPORT YOU!
Answer:
A
Step-by-step explanation:
Please help
I will give 40 points ☺️
Answer:
Its 62
Step-by-step explanation:
Please help!! ill give 20pts
1) y=x2+24x+43
find the vertex form by completing the square SHOW ALL WORK!!!
2) Given the function f(x)=−x2+8x+9, state whether the vertex represents a minimum or maximum point for the function. Explain your answer.
Answer:
1. Vertex is (-12, -101)
2. Vertex is (4, 25)
Step-by-step explanation:
1)
[tex]y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101[/tex]
Vertex is (-12, -101)
2)
[tex]y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25[/tex]
Vertex is (4, 25)
Answer the photo below thanks
How much will 28 pencils cost if 7 pencils cost $1.82?
Answer:
7.28
Step-by-step explanation:
1.82*4= 4+3.20+.08= 7.28
Answer:
$7.28
Step-by-step explanation:
7 pencils:$1.82
28 pencils:$x
28/7=4 so multiply 1.82 by 4
$7.28
Mr. Dayton uses 14 cups of flour to make three identical loaves of bread.
How much flour is in each loaf?
to find out how much flour is in each loaf, use?
Answer:
10
Step-by-step explanation:
ll
Answer:
he used 4 1/6 cup of flour for each loaf I think
Step-by-step explanation:
If x(x + y) = 3 and y(x + y) = 10, which of the following is a possible value of x + y?
(A) radical 7
(B) radical 13
(C) 6.5
(D) 7
(E) 13
With steps and explanation please.
Answer:
I believe that the answer is D: 7
I’m trying to figure out #’s 31 and 32. I don’t need the answers I just need guidance on how to figure them out.
Answer:
open circle means less than OR greater to
closed circle means less than or equal to OR greater than or equal to
What is the vertex of the function (X) = -x + 71 - 4?
O A. (-7,-4)
B.
(7,4)
O C. (-7,4)
OD. (7,-4)
Answer:
C
Step-by-step explanation:
Hope this Helps.
The coordinate of the vertex is ( 7 ,4), the correct option is B.
What is an Absolute value function?An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.
The absolute function is y = | -x +7| +-4
The v shaped curve has a vertex and it can be determined by following method.
The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.
-x +7 = 0
Adding -7 to both sides.
-x = -7
x = 7
The value of y at this point is the y coordinate of the vertex.
y = 0 +4
y = 4
(x,y) = ( 7,4)
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Lauren got 321$ for her birthday. She wants to put 20% in her savings account. How much will she have left over to buy new clothes?
Answer:
$256.80
Step-by-step explanation
Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.
Hope it helps!! :))))
need help from An Expert i really need your help help with the whole thing
Answer:
free points
Step-by-step explanation:
Answer:
etm
Step-by-step explanation:
yc
Estimate the sum of 872 and 121 by rounding both values to the nearest hundred. What is the best estimate of the sum?
Answer:
872
Step-by-step explanation:
PLEASE HELP ASAP 1-5 THANK YOU!!!
Answer:
1a
2c
3c
4a
5d
hope this helps
Step-by-step explanation:
Answer:
1. $120
2. 8 hours
3. $15
4. $30/hr
don't know what #5 is
Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x − 3 )² = 64 true?
8
11
61
or 67
Answer:
I
Step-by-step explanation:
this its 61 ok thanks you
simplifique o seguinte produto notável: (2x-6)²
Answer:
Multiply first and add the negative sign and multiply all of it 2 times
Step-by-step explanation:
Answer:
4x +36
Step-by-step explanation:
= (2x - 6) * (2x - 6)
= 4x -12x -12x +36
= 4x +36
What is
h(x) = 1/(x-5)3
Answer:
lim_( 3\/(-5 + x) = 0
Step-by-step explanation:
h(x) = 1\/(x - 5)×3
{x element R : x!=5}
{h element R : h!=0}
d\/dx(3\/(x - 5)) = -3\/(x - 5)^2
integral 3\/(x - 5) dx = 3 log(x - 5) +
Gerry drives her car at a constant rate of 60 miles/hour. How far will Gerry drive in 25 hours?
Answer:
The answer is 1500
Step-by-step explanation:
I multiplied 60 by 25
Answer:Its 1500
Step-by-step explanation:60 x 25
Can anyone help my little sister with her math I tried helping her but I couldn’t figure out how to do the math!!
Answer:
1: the wooden part is 3.725 kilograms.
2: 10 Children
Answer:
1 3.725 kg of wood
2 10
Step-by-step explanation:
For question 1 you multiply the total weight by 3/4 to find the weight of the metal, you then subtract this from the total to find the weight of the wood
For question 2 you look at it as a fraction 1/3 kids + 2/3 adults equal 30, since there are twice as many adults. Then you multiply 30 by 1/3 and get 10
What is the unit rate for the ratio 288Points/6 Games
How many do you want to bet nobody’s not gonna held me on this question
Answer:
-209
Step-by-step explanation:
(3/4)^-1 (4/3)^-2 exponent solving
Answer:
7/12
Step-by-step explanation:
3/4 - 4/3 = 7/12 or 0.583
Joe made a frozen yogurt shake with 10 ounces of milk and some strawberry frozen yogurt. He used the mixture to fill three 5-ounce glasses and had 2 ounces left over. How much-frozen yogurt did he use?
Answer:
2x - 9y = 23
5x - 3y = -1
Step-by-step explanation:
Anne Kates house is 20c. She had just made a fresh cup of tea (100c). Five minutes after she made her mad scientist nephew came in,stuck a thermometer in the cup and announced that the tea was now only 70c Write the possible equation with asymptotes
Answer:
The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The horizontal asymptotes is Lim(t → ∞), T → 20°C
The vertical asymptote is Lim(t → 0) T → 100°C
Step-by-step explanation:
The given parameters are;
The temperature of the house = 20°C
The initial temperature of the tea = 100°C
The temperature of the tea after 5 minutes = 70°C
From Newton's law of cooling, is given as follows;
[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]
[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]
Where;
T(t) = The temperature after time, t =
[tex]T_s[/tex] =The room temperature = 20°C
T₀ = The initial temperature of the tea = 100°C
k = Constant
T(5) = 70°C, therefore, we have;
[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]
50/80 = [tex]e^{k \cdot 5}[/tex]
5·k = ㏑(5/8)
k = ㏑(5/8)/5 ≈ -0.094
Therefore, the possible equation is given as follows;
T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The asymptotes are Lim(t → ∞), T → 20°C and Lim(t → 0) T → 100°C
what is the [?]
which one answers this equation. please help
24 [?] 3/4= -32
answer choices:
x (times)
+ (plus)
- (minus)
/ (divided by)
If the middle term of a quadratic trinomial is negative and the last term is negative, then
the sum of the factors for the middle term must be __
Answer:
Negative
Step-by-step explanation:
Years of Factoring:
What the problem tells us is that we have:
X^2 - 4x - 3
or something along these lines. If we factor this we get:
(X-4)(X+1)
The bigger inside factor has to be negative for these problems, because the third term is negative.
The sum of the middle term must give a negative value.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that If the middle term of a quadratic trinomial is negative and the last term is negative then the sum of the middle terms must give a negative value.
What the problem tells us is that we have:
x² - 4x - 3
Something along these lines. If we factor this we get:
(x-4)(x+1)
The bigger inside factor has to be negative for these problems because the third term is negative.
Therefore, the sum of the middle term must give a negative value.
To know more about quadratic equations follow
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I need help! What’s the value of c in the equation below?
Answer:
-4
Step-by-step explanation:
Answer:
A quarter
Step-by-step explanation:
2 to the power of negative four = 0.0625
Multiply this by two to the power of two [four] and your answer is naught point two five [a quarter]