Answer:
YD=6.9
Step-by-step explanation:
In an isosceles trapezoid both diagonals have an equal length. Given this, since diagonal AC is equal to 17.2, diagonal BD must be equal to 17.2. Diagonal BD is made up of segments BY and YD, so the lengths of BY and YD must add to equal 17.2. Since BY is 10.3, the equation YD+10.3=17.2 can be used to find the value of YD. To solve this, subtract 10.3 from both sides of the equation to find that YD is equal to 6.9.
What is the equivalent expression
for 2( x + 4)
Answer:
2x + 8
Step-by-step explanation:
What we have here is a case of distributive property.
Multiply 2 by x and 4 to get the the equivalent expression.
2(x + 4)
2x + 8 is the equivalent expression.
HURRY PLEASE
Write the decimal 0.56 as a percent.
5.6%
5.6%
0.0056%
0.0056%
56%
56%
1425%
14 over 25 percent
Solve For X, Help Fast
Answer:
215
Step-by-step explanation:
Subtracting positive 215 from 163 gives you - 52.
Answer:
the answer would be D
Step-by-step explanation:
163+52=215
A surveyor leaves her base camp and drives 42km on a bearing of 032°.She then drives 28km on a bearing of 154°.
a. illustrate the diagram
b .How far is she from her base camp.
c .What is her bearing from the base camp
Answer:
This is a difficult question
Step-by-step explanation:
is it 3 part?
What is the twentieth term of the arithmetic sequence 21, 18, 15, 12, ... ?
Answer:
-36
Step-by-step explanation:
21, 18, 15, 12....
All you have to do is subtract 3 less on each number you get, until u get to the twentieth term....
21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36
-36 is the twentieth term of this arithmetic sequence
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Joe scored 10 more than half his normal average at the basketball game tonight. If he scored 24 times, what is his usual average?
Answer: His usual average = 28.
Step-by-step explanation:
Let x = usual average at the basketball game tonight.
As per given,
[tex]\dfrac{x}{2}+10=24[/tex]
Subtract 10 from both sides , we get
[tex]\dfrac{x}{2}+10-10=24-10\\\\\Rightarrow\ \dfrac{x}{2}=14\\\\\Rightarrow\ x=14\times2=28[/tex]
Hence, his usual average = 28.
Simplify the expression
3(x-2)+1
A. 3x-5
B. 3x-6
C. 2x-3
Can someone please help me?
9514 1404 393
Answer:
x = 6y = 55Step-by-step explanation:
Angles opposite congruent sides are congruent, so base angles D and F of this isosceles triangle have the same measure:
y = 55
__
The sum of angles in the triangle is 180°, so ...
55° +(11x +4)° +55° = 180°
11x = 66 . . . . . . . . divide by °, subtract 114
x = 6 . . . . . . . . . . .divide by 11
The values of x and y are 6 and 55, respectively.
how many solutions are there to the equation 7x+12=5x-8
2+ 4/5 + 1 1/2 please help
Answer:
Step-by-step explanation:
11/2=55/10
2=20/10
4/5=8/10
55+20+8/10=83/10
the area of a rectangle is x^2-3x-54 find the perimeter
a. x^4-6
b. 2x-3
c. x^2+3
d. 4x-6
Answer:45
Step-by-step explanation:
Use Distributive Property: -8 (2y - 3)
Step-by-step explanation: First change the minus inside to plus a negative.
Now we can distribute the -8 through each
of the terms inside the set of parenthses.
So we have -8(2y) + -8(-3) or -16y + 24.
Take a look below.
Abraham is writing a recursive function for the geometric sequence:
24, 12, 6,3,
He comes up with:
s(1) = 24
s(n) = s(n-1)
What domain should Abraham use for s so it generates the sequence
Answer: n is greater than or equals to 1, where n is an integer
Step-by-step explanation:
The domain Abraham should use for s so it generates the sequence is n ≥ 1 where n is an integer option (C) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Abraham is writing a recursive function for the geometric sequence:
24, 12, 6,3,
The above sequence is a geometric progression.
The first term geometric progression is 24
s(1) = 24
s(n) = s(n-1)(1/2)
The nth term of the geometric progression:
The common ratio = 12/24 = 1/2
s(n) = s(n-1)(1/2)
Here n should be an integer number that is greater than 1
n ≥ 1 where n is an integer.
Thus, the domain Abraham should use for s so it generates the sequence is n ≥ 1 where n is an integer option (C) is correct.
Learn more about the sequence here:
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If C=x^{2}+7C=x 2 +7 and D=3x^{2}-4x+3,D=3x 2 −4x+3, find an expression that equals 3C+3D3C+3D in standard form.
Answer:
3C + 3D = 12x² -12x + 30
Step-by-step explanation:
Given
C = x² + 7D = 3x² - 4x + 3To determine
3C + 3DThe expression is given by
3C + 3D
substituting C = x² + 7 and D = 3x² - 4x + 3
= 3(x² + 7) + 3(3x² - 4x + 3)
= 3x² + 21 + 9x² - 12x + 9
= 12x² -12x + 30
Thus, the expression in standard form is:
3C + 3D = 12x² -12x + 30
what the slope of 72x+16y=24
Answer:
m= -[tex]\frac{9}{2}[/tex]
Step-by-step explanation
PLEASE HELP ME!! Marie has a math quiz every 12 days and a science quiz every 15 days. Today she has both quizzes. When is the next time that she will have both quizzes on the same day? To answer this question, find the least common multiple of 12 and 15.
Answer: the lowest common multiple of 12 and 15 is 60.
Step-by-step explanation: The multiples of 12 are : 12, 24, 36, 48, 60, 72, and 84. The multiples of 15 are: 15, 30, 45, 60, 75, and 90. So, 60 is a common multiple.
A letter costs $0.92 to mail. How much did the letter weigh?
Answer:
I need Help on this one too.
Step-by-step explanation:
1. Game Stop paid $300 for a PS 5. To make a profit, they need to sell it for 65% more than what they paid. How much will Game Stop sell a PS 5 for?
Answer: im not sure
Step-by-step explanation:
Multiply.
(22 - 3)(32 + 2x-1)
A. GA – 5x -87 + 3x
OB. 6/4 + 5x2-87 + 3x
C. 5x4 - 5x2 - 7x2-3x
D. 6x4 - 5x2-82-3x
Find the zeros of the function.
Solve for xxx.
Enter the solutions from least to greatest.
(2x +4)(3x -2)=0(2x+4)(3x−2)=0left parenthesis, 2, x, plus, 4, right parenthesis, left parenthesis, 3, x, minus, 2, right parenthesis, equals, 0
\text{lesser }x =lesser x=start text, l, e, s, s, e, r, space, end text, x, equals
\text{greater } x =greater x=start text, g, r, e, a, t, e, r, space, end text, x, equals
Answer:
less=−5
greater=−1
step by step:
/ 3
\begin{aligned} (x + 3)^2 - 4 &= 0 \\\\ (x+3)^2&=4 \\\\ \sqrt{(x+3)^2}&=\sqrt{4} \end{aligned}
(x+3)
2
−4
(x+3)
2
(x+3)
2
=0
=4
=
4
Hint #22 / 3
\begin{aligned} x+3&=\pm2 \\\\ x&=\pm2-3 \\ \phantom{(x + 3)^2 - 4}& \\ x=-5&\text{ or }x=-1 \end{aligned}
x+3
x
(x+3)
2
−4
x=−5
=±2
=±2−3
or x=−1
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= -1 \end{aligned}
lesser x
greater x
=−5
=−1
The solutions from least to greatest are lesser x = -2 and greater x = 2/3 for the equation (2x +4)(3x -2)=0
An equation is collection of two or more expressions with an Equal sign
The given equation is (2x +4)(3x -2)=0
To find the solutions, we set each factor equal to zero and solve for x
2x + 4 = 0
Subtract 4 from both sides
2x = -4
Divide both sides by 2
x = -2
Now 3x - 2 = 0
Add 2 on both sides
3x = 2
Divide both sides by 3
x = 2/3
Therefore, the solutions from least to greatest are lesser x = -2 and greater x = 2/3
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Points B(-4,4) and D (10,4) lie on circle G. The line segment connecting the two points is a diameter of the circle.
Which equation represents circle G?
A. (x – 3)2 + (y – 4)2 = 49
O B. (x - 10)2 + (y - 4)2 = 49
O C (x+3)2 + (1 – 4)2 = 49
D. (x+4)2 + (y – 4)2 = 49
Equation of circle G: [tex]\bold{(x-3)^{2} + (y-4)^{2} = 49}[/tex]
Equation of circle with center-radius form:"An equation of a circle with center (p, q) and radius r is:[tex](x-p)^{2}+ (y-q)^{2}=r^{2}[/tex] "
Midpoint Formula:"The coordinates of the midpoint M of two points (a, b) and (x, y) :
[tex]M(\frac{a+x}{2} ,\frac{b+y}{2} )[/tex] "
Distance formula:"The distance between two coordinate points (a, b), (m, n):
[tex]d=\sqrt{(n-b)^{2} +(m-a)^{2} }[/tex] "
What is diameter of circle?"A diameter of a circle is the straight line that from one side of a circle to other side and passes through the center."
For given question,
The line segment connecting the two points B(-4,4) and D (10,4) is a diameter of the circle.
This means, the midpoint of the diameter BD would be the center of a circle G.
Let M represents the center of the circle.
First we find the coordinates of the center of the circle.
Using midpoint formula,
⇒ M = [tex](\frac{-4+10}{2} ,\frac{4+4}{2} )[/tex]
⇒ M = (6/2 , 8/2)
⇒ M = [tex](3,4)[/tex]
Now, we find the distance between points B(-4,4) and D (10,4) to determine the diameter of a circle G.
Using distance formula,
⇒ [tex]d=\sqrt{(4-4)^{2} +(10-(-4))^{2} }[/tex]
⇒ [tex]d=\sqrt{0+(14)^{2} }[/tex]
⇒ [tex]d=14[/tex] units
So, the radius of the circle r would be,
r = d/2
⇒ r = 14 / 2
⇒ r = 7 units
Now, we find the equation of circle with center M(3, 4) and radius r = 7 units.
Using center - radius form equation of circle would be,
[tex](x-3)^{2} + (y-4)^{2} = 7^{2}[/tex]
⇒ [tex]\bold{(x-3)^{2} + (y-4)^{2} = 49}[/tex]
Therefore, option (A) is the correct answer.
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Solve.
7 pounds × 16 ounces =_____ pounds
Answer:
The answer is 8 pounds.
Hoped this helped!
Is this correct?? I need help!!!
What is an equation in point-slope form of the line that passes through the point (8,5) and has slope -7?
A. y + 5 = 7(X + 8)
B. y + 5 = -7(X + 8)
o C. y-5 = 7(x-8)
o D. -5 = -7(x - 8)
Answer:
c. [tex]y-5=-7(x-8)[/tex]
Step-by-step explanation:
Here m=-7 and (x1, y1)=(8, 5)
The equation of line in point slope form is given as
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=-7(x-8)[/tex]
2
Find the value of the variables.
b
30°
14
a
a =
b =
Help pls
Answer:
HELP FOR HELP?
Step-by-step explanation:
Answer:
Step-by-step explanation:
this is a special triangle, 30-60-90
if you have the hypothenuse =14
one leg will be 14/2=7
the other leg is 7[tex]\sqrt{3}[/tex]=12.12
a=7, b=12.12
PLS HURRY!!
A sandwich store prepares 8 peanut butter and jelly sandwiches in 108 seconds and 24 peanut butter and jelly sandwiches in 324 seconds At this rate how many seconds will it take to prepare 10 peanut butter and jelly sandwiches? Make a double number line to solve.
Answer:
It would take 135 seconds to make 10 sandwiches.
Step-by-step explanation:
108/8 = 13.5
324/24= 13.5
13.5 x 10 = 135
Answer:
135
Step-by-step explanation:
--------------------------------------
SIMPLIFY THE EQUATION BELOW
Answer:
x to the 6 / y to the 4
Step-by-step explanation:
Answer:
x^6/y^4
Step-by-step explanation:
hope this helps have a good rest of your day :)
Which function has the same domain as
y = 2x ?
Answer: y = 2 √x
Step-by-step explanation:There you go :>
Please leave an explanation too !
Answer:
-20=-20
Step-by-step explanation:
Distribute the 4.
(4xp-20)-8=4p-28
get rid of the variables (replace p with 2)
(8-20)-8=8-28
Simplify or combine like terms
-12-8=-20
Simplify or combine like terms
-20=-20
Hope this helps feel free to contact me if you need further help :D
What does this mean? I don’t understand.
ninety four means $94. 36/100 means $0.36. when you put these together you get $94.36