Sally has a rectangular garden that is surrounded by a 6ft-wide and 8ft-long fence. However, she wants to expand her garden so that it is twice as wide and twice as long. What is the new perimeter of her garden?
Based on the information given, it can be deduced that the perimeter of the garden will be 56 feet.
Since the rectangular garden is surrounded by a 6ft-wide and 8ft-long and Sally wants to double the dimensions, the new dimensions will be 12ft and 16ft.
Perimeter of a rectangle = 2(l + w)
Perimeter = 2(12 + 16)
Perimeter = 2(28)
Perimeter = 56 feet.
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Hey can u help me pls.
Answer:
15 dots
Step-by-step explanation:
formula :: 1/2 x n ( n +1 )
fig 1 ; 1 /2 x 1 ( 1+1 ) = 1 dot
fig 2 :; 1/2 x 2 ( 2+1 ) = 3 dots
......
fig 5 :: 1/2 x 5 ( 5+1 ) = 15 dots
Examine the function f(x)=log2x.
Which point is the intersection of f(x) and the line y=1?
(1,2)
(12,1)
(2,1)
(1,1)
Answer:
Is the question worded properly?
I find the intersection of the two lines to be (5,1), which is not an answer option.
Step-by-step explanation:
We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.
log (10) = 1
Therefore 2x = 1, and x = 5
(5,1)
amplitude of y=-2sin(3x)+6
Answer:
amplitude = 2
Step-by-step explanation:
Given sine in standard form
y = asinbx + c
amplitude = | a | , period = [tex]\frac{2\pi }{b}[/tex] , c is the vertical shift
Given
y = - 2sin(3x) + 6
amplitude = | - 2 | = 2
Factor
x ^ 3 + 2x ^ 2 – 5x - 10 = 0
Answer:
Step-by-step explanation:
When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"
Group together two terms, watch out for the negative signs!
x^3 + 2x^2-5x-10=0
(x^3 + 2x^2) - (5x+10)=0
Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.
x^2(x+2)-5(x+2)=0
Now you can factor out that (x+2) because it is both terms.
x^2(x + 2) - 5(x + 2)=0
~~~~ ~~~~
Pull these out.
What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)
(x + 2)(x^2 - 5) = 0
If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.
x = -2 and x = +- sqrt5
what is the value of y if x = 4
Answer:
5aaaaaaaaaaaaaaaaaaaaaaaa
A two-digit number is such that the sum of its digits is 12 and the ones digit is twice its tens digit. Find the number.
Answer:
48
Step-by-step explanation:
4 plus 8 is 12 and the ones digit is double the tens digit
Which graph represents the function y= 2x – 4?
GIF
st
4
3
3
-3
...2
2+
2
1
+
-3 -2 -1
2
5 4 -3 -2 -1
2
3
-5 -4 -3 -2 -1
2
-2
-2
O
Answer:
4
Step-by-step explanation:
The graph of the function is attached in the solution.
What is graph?A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.
Given is an equation, y = 2x-4, we need to determine its graph,
So, for the same, finding the coordinates,
y = 2x-4
Put x = 0
y = -4
(0, -4)
Put x = 1
y = -2
(1, -2)
Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.
Hence. the graph of the function is a straight line.
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Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2
Answer:
x=5
Step-by-step explanation:
First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.
will give brainliest to correct answer !
lmk if you're looking for point slope form but it's y = 2/5x - 3
The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.
By factor the polynomial we get the following roots:
[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]
[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]
Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
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Can someone please help me with this one? :D ty!
2,000 Sorry That Was I Know #carryonlearning
What is 2a・420 divided by 3z when z=34 and a=56
461.176470588
Explanation:
2×56=112
112×420=47040
---------------------------------
3×34=102
---------------------------------
47040÷102=461.176470588
A math book at the Victor Valley College bookstore originally cost $84 to purchase. If they sell it for $126, what is the markup rate?
6x - 4y = 16 find the slope and y intercept
Answer: slope: 3/2
y-intercept: (0,-4)
Step-by-step explanation:
y=3/2x-4 is slope intercept form
What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2
Answer:
x = 4
Step-by-step explanation:
Use elimination method.
-----------------
3x + 5y = 10
-(1x + 5y) = -1(2)
-1x -5y = -2
------Simiplify------
2x = 8
x = 4
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Planes A and B intersect. Vertical plane B intersects horizontal plane A at line E D. Line C D is on plane A. Which describes the intersection of planes A and B? line CD line ED point C point D.
The description of the intersection of plane A and plane B is line CD
From the question (see attachment for the diagram of both planes), we have the following highlights
Point C is on plane A and plane BPoint D is on plane A and plane BBoth planes meet at the line that joins points C and D.
Hence, the description of the intersection of plane A and plane B is line CD
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Answer:
The first answer, CD, is correct.
Edg, 2023
help we don’t know the answer
HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!
Answer:
So Jennys Jean store charges the higher rate.
Step-by-step explanation:
Jeanys Jean store
Cost/pair = 20/1 = $20 per pair
Jeans warehouse
Cost/pairs = 36/2 = $18 per pair
So Jennys Jean store charges the higher rate.
Plz help ToT I'm horrible at math
Answer:
24 Square Inches
Step-by-step explanation:
6. Does the set of ordered
pairs represent a function?
Explain.
{(0,5), (-2, -1), (0, -5), (3, 20)}
Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function
Please help again please and thank you :)
Answer:
B)154
Step-by-step explanation:
98:7=x:11
x=154
Solve the quadratic equation given.
6x2 - 24 = 0
[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?
The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.
ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTCReasons:
The given parameters are;
ΔABC is an isosceles triangle.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]
[tex]\overline{AD}[/tex] bisects ∠BAC
Therefore, the proof that ∠ABD ≅ ∠ACD is given as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)
2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)
3. ∠BAD ≅ ∠CAD (Definition of angle bisector)
4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)
5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)
6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)
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Maija is bicycling north on a straight path. She bicycles for
17.
4
kilometers when she realizes she is
thirsty. Maija remembers passing a water fountain
2 kilometers earlier By rounding to the nearest
whole number, estimate the distance from the beginning of Maija's ride to the water fountain
Answer:
The awnser is 19 Kilometers
Which congruence criteria is met in the following scenario?
HL
ASA
SSS
AAS
SAS
Jason was given a triangle that had a side length of 10m and a hypotenuse of
15m. When he substituted these values into the Pythagorean Theorem, he got 102 + 152 = c2
.
Part A. Find Jason’s mistake and explain it.
Part B. Solve for the missing length, show your mathematical thinking, and justify your answer.
Answer:
The pythagorean theorem is:
H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]
With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:
s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]
So the real side will be:
square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m
Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.
What is the value of the expression
Answer:
I think it's B.
Step-by-step explanation:
Can someone help me solve this question
Answer:
Step-by-step explanation:
Choosing a white pen from box a