Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
7. In the diagram below, AB = CD. Find the length of AD.
2x+8
X-3
4x-6
A
B
C
D
Answer:
AD=6
Step-by-step explanation:
If AB=CD then 2x+8=4x+6, this can be rearranged to get 8-6=4x-2x or 2=2x or x=1.
AD=AB+BC+CD or AD=(2x+8)+(x-3)+(4x-6) this can be rearranged as AD=(2x+x+4x)+(8-3-6) or AD=7x-1 and we know x=1 so AD=6.
giving branliest pls help
Answer:
[tex] {( \frac{ {2x}^{4} {y}^{4} }{ {4x}^{2} } )}^{3} \\ [/tex]
open the bracket:
[tex] = \frac{ {2x}^{(4 \times 3)} {y}^{(4 \times 3)} }{ {4x}^{(2 \times 3)} } \\ [/tex]
simplify:
[tex] = \frac{ {2x}^{12} {y}^{12} }{ {4x}^{6} } \\ [/tex]
group x terms together:
[tex] = ( \frac{ {2x}^{12} }{ {4x}^{6} } ) \times {y}^{12} \\ \\ = (\frac{ {x}^{(12 - 6)} }{2} ) \times {y}^{12} \\ \\ = \frac{ {x}^{6} }{2} \times {y}^{12} [/tex]
factorise out power 6:
[tex] { \boxed{= \frac{ {(xy {}^{2}) }^{6} }{2} }}\\ [/tex]
Worked example3 is = 21
Answer:
hahahaha
Step-by-step explanation:
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Joe rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 88 cents for each mile driven. Joe had to pay $176.51 when he returned the truck. For how many miles did he drive the truck?
The ratio of students to adults on a field trip is 7 to 1. Which table correctly represents this ratio?
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free throws, find how many free throws she attempted.
a. 3 free throws
b. 7 free throws
c. 21 free throws
d. 4 free throws
Answer:
well for Evey 4 completed throws she takes 7 throws
with this ratio we get that;
it's 4:7
there fore
for 12 completed free throws she would take 21 free throws
option c is the answer
hope it's helpful
Answer:
21
Step-by-step explanation:
FreeThrows: FT
Attempted Throws: AT
FT/AT=4/7
12/AT=4/7
84/4=AT
AT=21
6
0.5 of the students in the
class are boys. What is this
decimal as a fraction, in
lowest terms?
Answer:
[tex]{ \sf{it \: \: is \: \: \frac{1}{2} }}[/tex]
4(2x-3) < 8(x+1)
is the inequality always, sometimes, or never true?
Step-by-step explanation:
=8x-12 > 8x+8
=x -(-4)
=x> 4
I need help with #51 ASAP … please help me with it I don’t understand it please and thank you
9514 1404 393
Answer:
see attached
Step-by-step explanation:
In general, the only way to divide a square array of dots into two triangular arrays of dots is the way it was done in the example shown in the problem statement. The dividing line is drawn next to the longest diagonal.
So, for 25 dots, you make a 5×5 array and draw the line next to the corner-to-corner diagonal. Same for a 6×6 array of 36 dots.
50 is 1/10 of whatttt I NEED HELP
Answer:
[tex]let \: the \: unknown \: = x \\ then \: \frac{x}{10} = 50 \\ x = 50 \times 10 \\ x = 500 \\ thank \: you[/tex]
oops wrong question sorry
Perpendicular to the line y=4x+8 and contains the point (-8,4) in standard form.
Can someone help me with this question (Geometry) can you also explain!
Answer: x = 56
It’s a supplementary angle
Step-by-step explanation:
It’s a supplementary angle if their measures add to 180 degrees
is the equation
2x + 68 = 180 degrees
2x = 180 -68
2x = 112
x = 112/2
x = 56
what does (3x – 2)(4x + 1) =
Answer:
12x² - 5x - 2
Step-by-step explanation:
(3x - 2)(4x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x + 1) - 2 (4x + 1) ← distribute parenthesis
= 12x² + 3x - 8x - 2 ← collect like terms
= 12x² - 5x - 2
At the beginning of the season, Mike had to remove 4 lemon trees from his farm. Each of the remaining trees produced 150 lemons for a total harvest of 3,300 lemons. How many lemon trees did Mike have initially?
Step-by-step explanation: 3.300 / 150= 22 limoeiros+ 4= 26
If a and b are the roots of 11x^2-4x-2=0 then compute the product: (1+a+a^2+...)(1+b+b^2+...)
Help would be appreciated, thank you
Answer:
11/5
Step-by-step explanation:
FirLet a and b be the roots of 11x^2-4x-2=0
Now[tex](1+a+a^2+\cdots)(1+b+b^2+\dcots)=\frac{1}{1-a}\cdot \frac{1}{1-b}\\=\frac{1}{(1-a)(1-b)}=\frac{1}{1-(a+b)+ab}[/tex]
Dividing the quadratic equation by 11 we have
[tex]x^2-\frac{4}{11}x-\frac{2}{11}=0.[/tex]
Now the sum of the roots is the minus of the coefficient of x and the product of the roots is the constant. Therefore
[tex]a+b = 4/11 \\ab = -2/11[/tex]
and we have
[tex]\frac{1}{(1-a)(1-b)}=\frac{1}{1-\frac{4}{11}-\frac{2}{11}}\\=\frac{1}{(5/11)}=\frac{11}{5}[/tex]
Help me on this math questionnn
pls help me with this
Answer:
Step-by-step explanation:
Jenn is the fastest swimmer.
Time and speed is inverse proportion. If speed is more, the time taken will be less. So, who takes less time will be the fastest swimmer
We can tell from the table that Jenn is the fastest swimmer. She has the lowest time and fastest speed
-224 = 4x – 8(2 + 7x)
Multi step equation
Answer:
x=4
Step-by-step explanation:
-224= 4x- 16- 56x
-224= -52x -16
+16
-208=-52x
x=4
Solve please and explain
Answer:
The length of one of it's sides is 4
Step-by-step explanation:
4 x = 16 x 4 = 64
A cube is a 3 dimensonal square, meaning the lenght, widith, and height of the cube are all going to be teh same.
Answer:
Step-by-step explanation:
Prime factorize 64
Volume of cube = 64 in³
side³ = 64
= 2*2*2*2*2*2
Take cube root,
[tex]\sqrt[3]{side*side*side} =\sqrt[3]{2*2*2 * 2*2*2}\\\\\\side= 2* 2\\\\side = 4 \ in[/tex]
Please answer question #2 and please show work
9514 1404 393
Answer:
2a. (360x +495)/(8x +11) = 45
2b. 2((8x+11) +45) = 16x +112
Step-by-step explanation:
a) The area is the product of length and width.
A = LW
We are given ...
W = 8x +11
A = 360x +495
The value of length can be found by solving for L:
L = A/W
L = (360x +495)/(8x +11)
The long-division solution to this is shown in the attachment.
L = 45 . . . . simplified expression for length
__
b) The perimeter of the tank is twice the sum of length and width:
P = 2(L +W)
Substituting the values for L and W, this is ..
P = 2(45 +(8x +11)) . . . . expression for length of edge seal
P = 2(8x +56)
P = 16x + 112 . . . . . . simplified expression for seal length
heres the ss. PLS HELP IM STUCKKK! WILL MARK BRAINLIEST!
Answer:
C
Step-by-step explanation:
Lets set this up:
5x-3y=2=
5x=3y+2=
5x-2=3y=
y=5/3x-2/3
Now graph this.
When graphed you see that the only point that lies on the graph is C (3,13/3)
Hope this helped!
Edit: Explanation
Find the solution to the system of equations
Answer:
x=1
y=-4
Step-by-step explanation:
Since -x-3=y subsitue that in at the top equation
[tex] - x - 3 = - 7x + 3[/tex]
[tex] - x = - 7x + 6[/tex]
[tex]6x = 6[/tex]
[tex]x = 1[/tex]
Plug x=1 back into the equation to solve for y.
[tex]y = - 7(1) + 3[/tex]
[tex]y = - 4[/tex]
Help pleaseeeeeeee :’)
Answer:
the time taken is 22 mins
plzzzz helppppppppppppppppppppppp
Answer:
42.85 or 43 percent
Step-by-step explanation:
16 + 12 = 28
12/28 = x/100
12(100) = 28x
1200 = 28x
1200/28 = 28x/28
x = 42.85
A piano costs d in dollars, and this cost will be shared equally by a group of musicians. In terms of d, how many dollars less will each person contribute to the purchase of the piano if the cost is split among 5 musicians instead of 4?
Answer: d/20
Step-by-step explanation:
The average temperature of kopikoville was reported to be -25 last year this year the average temperature of the kopikoville rose by 6 which of the following is true about this years average temperature
A.-31
B.-19
C.19
D.31
whats 8r-2(7r+9) in simplest form
Subtraction with Real Numbers
7-8-(-5)-1=
Answer:
The answer is 3
Step-by-step explanation:
7-8-(-5)-1
-1-(-5)-1
-1 + 5 - 1
4 - 1
3
Please help me answer this question
Answer:
it's between 3 and 4
Step-by-step explanation:
3x3=9
4x4=16
What is the change in temperature from -13C to 15C
Answer:
[tex]change \: n \: temparature = final - initial \\ = 15 - - 13 \\ = 28degree \: celcius[/tex]
[tex]thank \: you[/tex]
Answer:
the temperature went up by 28C
Step-by-step explanation:
15--13