Answer:
D. 4(2x² + 4x - 6); 130.0 inches
Step-by-step explanation:
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x²+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5?
2x2+4x−6; 22.0 inches
2x2+4x−6; 32.5 inches
4(2x2+4x−6;) 88.0 inches
4(2x2+4x−6;) 130.0 inches
Perimeter of a square = 4 * side length
1- First square pillow
length = 2x²+1 in
Perimeter of first pillow = 4 * (2x²+1) in
Second square pillow
length = 4x-7 in
Perimeter of second pillow = 4(4x-7) in
Total ribbon length required = perimeter of first square pillow + perimeter of second square pillow
Total ribbon length required = 4(2x²+1) + 4(4x-7)
Factorise
4 is the common factor
=4(2x²+1)+(4x-7)
=4(2x²+1+4x-7)
=4(2x²+4x-6)
Total ribbon length required=4(2x²+4x-6)
If x=3.5
Total ribbon length required=4(2x²+4x-6)
=4{2(3.5)²+4(3.5)-6}
=4{2(12.25)+14-6)
=4(24.5+14-6)
=4(32.5)
=130.0 inches
The net of a rectangular prism is shown below. What is the total surface area of this prism
Answer:
142 cm^2
Step-by-step explanation:
Okay, we can first break this down into 3 different rectangles.
3 x 5 rectangle
16 x 7 rectangle
3 x 5 rectangle.
From here, we just multiply these out and add them. 15 + 15 + 112 = 142. So our answer is 142 cm^2
Answer:
142 cm²
Explanation:
to find the surface area, you need to find the area of all of the boxes within the image above add them all together.
Starting in the middle row and working from left to right it is,
7×3+7×5+7×3+7×5
21+35+21+35=112
Than the bottom and top box is
3×5+5×3
15+15=30
Than you add both of them together,
112+30=142
Draw graph x + y = 7 and x - y = 2 on the same graph
Graphed in attached file and drawn!
Answer:
see attachment
Step-by-step explanation:
A line segment has the endpoints T(10, 4) and U(8,4). Find the coordinates of its midpoint
M.
Write the coordinates as decimals or integers.
M =
Answer:
(9,4)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(10+8)/2=18/2=9
y=(4+4)/2=8/2=4
What is the value of the rational expression below when x is equal to 3?
12 - x/X-6
A. 3
B. -3
C. 9
D. -9
Please help me to solve this question
Answer:
x = 64°, y = 32°
Step-by-step explanation:
The sum of the angles on a straight line = 180° , then angles on PS are
2x + y + 20 = 180 ( subtract 20 from both sides )
2x + y = 160 → (1)
Angles on QT are
x + 3y + 20 = 180 ( subtract 20 from both sides )
x + 3y = 160 → (2)
Solve (1) and (2) simultaneously
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides
y = 160 - 2x → (3)
Substitute y = 160 - 2x into (2)
x + 3(160 - 2x) = 160 ← distribute and simplify left side
x + 480 - 6x = 160
- 5x + 480 = 160 ( subtract 480 from both sides )
- 5x = - 320 ( divide both sides by - 5 )
x = 64
Substitute x = 64 into (3)
y = 160 - 2(64) = 160 - 128 = 32
Then
x = 64°, y = 32°
What are the answers to the following.
Answer:
Step-by-step explanation:
[tex]8-11 =-3\\\\b. -8+10 = 2\\\\c. 13+(-6) = 13-6 \\= 7\\\\d. 7-(-3)\\= 7+3\\=10\\\\e.-5-(-2)\\=-5+2\\=-3\\\\f. -15-(-25)\\=-15+25\\=10\\\\g. -3+(-6)-(-9)\\= -3-6+9\\=-9+0\\=0\\\\h.-20-(-9)-(-8)\\=-20+9+8\\-20+17\\=-3\\\\[/tex]
[tex]-2+3-(-4)+(-5)\\-2+3+4-5\\= 1-1\\=0\\\\\\b. 18-(-10)+(-19)-8\\=18+10-19-8\\28-27\\=1\\\\c. 65+(-72)-(-45)\\= 65-72+45\\=-7+45\\=38[/tex]
PLEASE HELP!!
Complete the equation.
(13)^2 (13)^-14 (13)^5 = 13 [ ]a0
Answer:
(13)^2 (13)^-14 (13)^5
=2197
Answer:
13^3
Step-by-step explanation:
-4+2+5=3
is it . that or something else ??
list the next three terms in the following sequence
1,2,4,7, 11, 16
Answer:
22, 29, 37
Step-by-step explanation:
There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.
Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one
1+0=1
1+1=2
2+2=4
4+3=7
7+4=11
11+5=16
16+6=22
22+7=29
29+8=37
22, 29, 37
the function y = a / x is given Which function will be obtained if the point P (-2,3) belongs to the graph of the given function
Answer:
The function is y = -6 / x.
Step-by-step explanation:
Since (-2, 3) belongs to the function, we know that x = -2, y = 3 is a solution to the function so when we plug those values in to solve for a, we get:
3 = a / (-2)
3 * (-2) = a / (-2) * (-2)
-6 = a so the function is y = -6 / x.
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
Please help me answer I need an answer asap:3
Answer:
please mark my answer brainliest
Step-by-step explanation:
it's 115
Answer:
115 degrees.
Step-by-step explanation:
< DBC = (180 - 40) / 2 = 70 ( as it is a base angle of an isosceles Δ)
< EBD = 45 degrees ( as the diagonal of a square bisects 90 degree <).
So < EBC = 70 + 45 = 115 degrees.
2. The fraction 84 by 98 in simplest form is
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
Pls help me , idk how to do
Answer:
PQRS is a parallelogram with right-angle corners
Step-by-step explanation:
We know that the midsegment of a triangle is parallel to the base.
QR is the midsegment of triangle BCD, so is parallel to BD.
SP is the midsegment of triangle DAB, so is parallel to BD.
QR and SP are both parallel to BD, so are parallel to each other.
RS is the midsegment of triangle CAD, so is parallel to AC.
PQ is the midsegment of triangle ABC, so is parallel to AC.
RS and PQ are both parallel to AC, so are parallel to each other.
__
We have shown that opposite sides of PQRS are parallel to each other, so the figure is at least a parallelogram.
__
By virtue of the congruence of corresponding angles where a transversal crosses parallel lines, each of the so-far named lines can be shown to be perpendicular to any of the lines it meets.* Hence the figure PQRS must be a parallelogram with right angles, a rectangle.
_____
* Transversal BD crosses PQ, AC, and RS at right angles. Hence, transversals RS and PQ cross QR, BD, and SP at right angles. That is, the angles at corners P, Q, R, and S of the parallelogram are right angles.
Help ASAP ASAP!!! if 3,p,q,24 are the consecutive terms of an exponential, find the values of p and q.
Step-by-step explanation:
According to Geometric Progression :
[tex]a(nth) = a1 \times {r}^{n - 1} [/tex]
a(nth) = nth term of the G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P.
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ratio
a(nth) = nth term of the G.P. a1 = 1st term of G.P. r = common ration = terms in the G.P.
Now,
[tex]24 = 3 \times {r}^{4 - 1} [/tex]
[tex]r = 2[/tex]
The G.P. Is 3, 6, 12, 24.
Thus, p = 6 and q = 12
Is this relation a function?
Answer:
Hello,
Answer D
Step-by-step explanation:
In a function a value may not have 2 images.
y1=f(x1) and y2=f(x1) ==> y1=y2
The average monthly rainfall for 6 months was 28.5 mm. If it had rained 1mm more each month what would the average have been? By how much would the total have been increased in six months and by how much would average have been increased per month? What's the answer??
Answer:
29.5 mm
Step-by-step explanation:
We are told that the average monthly rainfall for 6 months was 28.5 mm.
Thus, total for the 6 months = 28.5 × 6 = 171 mm
Now, we are told that it rained 1 mm extra each month.
So extra for the six months = 1 × 6 = 6mm
New total for 6 months = 171 + 6 = 177 mm
So, new average for 6 months = 177/6 = 29.5 mm
what is 2/3 divided by -1 1/3
can u explain and answer this question for me thanks
Answer:
f(x)= x-6
g(x)= x^1/2 (x+3) =√x(x+3) = x √x + 3√x
g(x) × f(x)
=(x√x + 3√x) (x-6)
= x²√x -6x√x + 3x√x - 18√x
= x²√x -3x√x - 18 √x
= x^5/2 - 3x^3/2 - 18^1/2
= √x^5 - 3√x^3 - √18 (B)
Note:
√x = x^1/2
x √x = x^1 × √x= x^1+1/2= x^3/2
x²√x= x^2 × x^1/2 = x^2+1/2 = x^ 5/2
I hope this helps
if u have question let me know in comments ^_^
what does range mean in maths
Which item is more economical?
Answer:
what are the items
Step-by-step explanation:
If the cost of fencing a rectangular garden per meter is rupees 5 . Find the amount needed to do the fencing of the garden with length 400 m and breadth 150 m .
Answer:
6500 rupees
Step-by-step explanation:
We are given a rectangular garden is the dimensions of:
Length = 400 m
Breadth = 150 m
Perimeter of a rectangle = 2(L + B)
= 2(400 + 150)
= 2(650)
= 1300m
We are told that the cost of fencing a rectangular garden per meter is rupees 5
1 m = 5 rupees
1300m =
Hence, the cost to fence the entire garden = 1300 × 5 rupees
= 6500rupees
if A is a subset and equal to B then B'-A' is equal to
Answer:
A-B
Step-by-step explanation:
It doesn't say A=B... But just that A is a subset of B.
Anyways, why not try an example to help reveal the answer.
Let the universe set, U, be U={1,2,3,4,5,6}.
Let B={1,2,3,4} and A={1,3,5}
First choice would become A'={2,4,6}
Second choice would become B'={5,6}
Third choice would become A-B={5}
Fourth choice is just { }
B'-A'={5}
The only choice matching is A-B
*Just so you know X-Y is the set of elements contained in X only if they are not also in Y.
-19+[27-{14+(5-2)×4÷2
EXAMPLE QUESTION+ANSWER;-
16 - [5 - 2 { 14 of 2 - (8/4 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (2 * 2 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (4 - 1 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - (3 + 3 } ]
= 16 - [5 - 2 { 14 of 2 - 6} ]
= 16 - [5 - 2 { 28 - 6} ]
= 16 - [5 - 2 {22} ]
= 16 - [5 - 44]
= 16 + 30
= 55
Answer: 55
Plz help guys, it is a pretty easy sum
Answer:
a3+13a
Step-by-step explanation:
sorry I don't know how to solve this
Answer:+-3
Explanation:
I added 4 on both side so that a^2+1/a^2-2 becomes a^2+1/a^2+2 which is Special products of (a^2+1/a^2).
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r=0.767, n=25
Answer:
the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396
Step-by-step explanation:
Given that:
the linear correlation coefficient r = 0.767
the sample size n = 25
the level of significance ∝ = 0.05
The degree of freedom is expressed with the formula df = n - 2
df = 25 - 2
df = 23
the critical value for r at [tex]r_{0.05, 23}[/tex] = 0.396
The linear correlation coefficient r = 0.767 is not in the region between the critical values of -0.396 and +0.396. We can therefore conclude that the linear correlation coefficient is significant.
Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution
Answer:
A triangle with angles:
"45°, 45°, 90°"
Is a triangle rectangle, with two catheti of equal length.
Now, there is a lot of problems that you can solve with this:
"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"
Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)
And because the catheti are equal, then the angles are 45°, 45° and 90°.
56 is less than the square of 10
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
find the slope that passes through the points : (-2, 5) & (-7,8)
Answer:
-3/5
Step-by-step explanation:
We can find the slope using the slope formula
m= ( y2-y1)/(x2-x1)
= ( 8-5)/(-7 - -2)
= (8-5)/(-7+2)
= 3/-5
- 3/5
Finding x- and y- intercepts
y = 5х – 6
Answer:
Below!
Step-by-step explanation:
X intercept
y = 5x - 6
0 = 5x - 6
-5x = -6
divide both sides by -5
x = 6/5 or 1.2
(1.2, 0)
Y intercept
y = 5x - 6
y = 5(0) - 6
y = -6
(0, -6)
Hope this helps! Best of luck <3