Answers
Information : The given hyperbola is a horizontal hylerbola with its centre (3 , -5) and one of its focus at (9 , -5) and vertex at (7 , -5) and as we can see that the focus and vertex have same y - coordinates, it must have its Transverse axis on line y = - 5.
Now,
it's vertex is given, I.e (7 , -5)
so, length of semi transverse axis will be equal to distance of vertex from centre, i.e
a = 7 - 3 = 4 unitsNow, it's focus can be represented as ;
[tex]\qquad \sf \dashrightarrow \: (3 + ae, - 5 )[/tex]
so,
ae + 3 = 9and we know, a = 4
[tex]\qquad \sf \dashrightarrow \: 4e + 3 = 9[/tex]
[tex]\qquad \sf \dashrightarrow \: 4e = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: e = \cfrac{3}{2} [/tex]
Now, let's find the measure of semi - conjugate axis (b)
[tex]\qquad \sf \dashrightarrow \: {b}^{2} = {a}^{2} ( {e}^{2} - 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{9}{4} - 1)[/tex]
[tex]\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{9 - 4}{4} )[/tex]
[tex]\qquad \sf \dashrightarrow \: {b}^{2} = 16( \frac{5}{4} )[/tex]
[tex]\qquad \sf \dashrightarrow \: {b}^{2} = 20[/tex]
[tex]\qquad \sf \dashrightarrow \: b = \sqrt{20} [/tex]
So, it's time to write the equation of hyperbola, as we already have the values of a and b ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {(x - h)}^{2} }{ {a}^{2} } - \cfrac{( {y - k)}^{2} }{ {b}^{2} } = 1[/tex]
[ plug in the values, and h = x - coordinate of centre, and k = y - coordinate of centre ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ ({x-3)}^{2} }{ {16}^{} } - \dfrac{ {(y+5)}^{2} }{ { {20} }^{} } = 1[/tex]
Hello and Good Morning/Afternoon:
Let's solve this problem step-by-step:
Let's find the format of the standard form of hyperbole:
[tex]\hookrightarrow \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1[/tex]
(h,k): hyperbole center ⇒(3,-5)Let's find the value of a, b:
value of a: distance between vertex (7, -5) and center (3, -5)[tex]a = \sqrt{(7-3)^2+(-5--5)^2} =\sqrt{16} =4[/tex]
value of b: [tex]\sqrt{c^2-a^2}[/tex]⇒value of c: distance between focus (9, -5) and center (3, -5)
[tex]c = \sqrt{(3-9)^2+(-5--5)^2}=\sqrt{36} =6[/tex]
⇒ therefore:
[tex]b = \sqrt{c^2-a^2} =\sqrt{6^2-4^2}=\sqrt{20}[/tex]
Let's plug everything into our standard form of the equation:
[tex]\frac{(x-3)^2}{4^2} -\frac{(y--5)^2}{(\sqrt{20})^2 } =1\\\frac{(x-3)^2}{16} -\frac{(y+5)^2}{20 } =1[/tex] <== Answer
Hope that helps!
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Related Questions
A SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE REDUCE TO LOWEST TERMS.
A) A DIAMOND OR A 5 __________
B) A HEART AND A JACK __________
C) A JACK OR AN 8 __________
D) A HEART OR A SPADE __________
E) A RED AND FACE CARD __________
F) A RED CARD OR A QUEEN __________
Answers
Answer:
A. [tex]\frac{17}{52}[/tex]
B. [tex]\frac{17}{52}[/tex]
C. [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
A.
There are 52/4 diamonds in the deck and 4 '5's in the dech of cards
52/4 = 13 + 4 = 17
Therefore, you have a [tex]\frac{17}{52}[/tex] chance of drawing one of those cards.
B.
There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : [tex]\frac{17}{52}[/tex]
C.
There are 4 jacks in a deck of cards and 4 '8's in a deck of cards
Therefore your probability is [tex]\frac{8}{52}[/tex] which simplifies to [tex]=\frac{2}{13}[/tex]
As per brainly guidelines I can only answer 3 questions in one answer
B) 1/52
C) 4/52 + 4/52 = 8/52 = 2/13
D) 13/52 + 13/52 = 26/52 = 1/2
E) 6/52 = 3/26
F) 26/52 + 4/52 - 1/52 = 29/52
Pls help answer this before 8pm
Answers
Answer:
Step-by-step explanation:
16 + 12 + 5 + 3 = 36
16 prefer email, 36 total students surveyed
16:36 / 4 = 4:9
4 out of 9 students prefer email
4:9 x 680 = 302.222
302 students can be expected to prefer email.
Show all work to write the expression in simplified rational exponent form:
[tex](\sqrt[4]{x^{2}+4 } )^{3}[/tex]
(Fourth root of x squared plus four, cubed)
Answers
Answer:
[tex]x^{\frac{1}{2} } + 48[/tex]
Step-by-step explanation:
This is hard to explain, but basically you use exponent rules to switch it to an exponent
[tex](\sqrt[4]{x^{2} +4} )^{3}[/tex]
It's easiest if you calculate [tex]4^{3}[/tex] first
4³ = 4 x 4 x 4 = 48
Then convert the root to a fraction exponent
[tex]\sqrt[4]{x^{2}} = x^{\frac{2}{4}} = x^{\frac{1}{2} }[/tex]
Combine them using addition, since addition was in the problem
[tex]x^{\frac{1}{2} } + 48[/tex]
I hope this helps!
Use the coordinate grid to determine the coordinates of point A:
Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 3 grid lines above the x-axis.
What are the coordinates of point A?
( fraction negative 1 and 1 over 4, fraction 3 over 4)
( fraction 1 and 1 over 4, fraction negative 3 over 4)
( fraction negative 3 over 4, fraction 1 and 1 over 4)
( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answers
Based on the given coordinate grid, and the increment for each grid line, the coordinates of point A is ( fraction negative 1 and 1 over 4, fraction 3 over 4) or (-1¹/₄, ³/₄).
What are point A's coordinates?
The x-value of point A is said to be 5 grid lines to the left of y-axis. This means that the x value will be negative.
The increments are 1/4 so the x-value is:
= -1/4 x 5
= -1¹/₄
The y-value is given by the 3 grid lines above the x-axis which means that this value is positive:
= 1/4 x 3
= 3 /4
The coordinates of A are:
(-1¹/₄, ³/₄)
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A rectangle is 6x-4 feet long and 2x + 3 feet wide. What is the perimeter of the rectangle?
Answers
Answer:
Perimeter o the rectangle = 16x - 2
Step-by-step explanation:
Perimeter of a rectangle = 2(long+ wide)
Then:
Perimeter = 2((6x-4)+(2x+3))
Perimeter = 2(6x+ 2x + 3 - 4)
Perimeter = 2(8x - 1)
Perimeter = 2*8x + 2*-1
Perimeter = 16x - 2
What is the ratio of my lawn if it is 4 meters by 4.5 meters
Answers
Answer:
The 1:n ratio is= 1 : 1.125
The n:1 ratio is= 8/9 : 1
Just the simple ratio is= 4 : 4.5
I am confused. Can somebody explain this to me?
Maryann can paint a wall in 45 minutes. It takes her brother Junior 1 hour and 45 minutes to paint the same wall. How many minutes would it take Maryann and Junior to paint the wall, if they work together? Answer as a decimal to the nearest tenth.
Answers
Answer: If they worked together, it would take 31.5 minutes
Step-by-step explanation:
There's a certain formula for equations like this:
[tex]\frac{1}{t1} +\frac{1}{t2}=\frac{1}{tb}[/tex]
t1= the time it took for the first person to complete the task.
t2= the time it took for the second person to complete the task.
tb= the time it took for both of them to complete the task.
We have the values for both t1 and t2, but not for tb.
t1= 45
t2= 105
tb= x
[tex]\frac{1}{45} +\frac{1}{105} = \frac{1}{x}[/tex]
Now it's simple algebra, and all we need to do is solve for x
The LCM for both fractions is 315, so now we multiply BOTH sides of the equation by 315.
[tex]\frac{315}{45} + \frac{315}{105} = \frac{315}{x}[/tex]
This will simplify nicely, so now we just need to get x on the other side.[tex]7 + 3 = \frac{315}{x} \\\\\ 10*x = \frac{315}{x} * x[/tex]
[tex]10x = 315 \\\\x = 31.5[/tex]
Find the coordinates of the image point for S(−11, 2) across y = 1.
Answers
Answer:
(11,0)
Step-by-step explanation:
23. What would be the location of the vertex (3, 4) if it were reflected across
the y-axis?
A. (3,-4)
B. (-3, 4)
C. (4, -3)
D. (-4, 3)
Answers
I hope that this helps! :)
Reason
The rule for a reflection over the y -axis is (x,y)→(−x,y) . So from x to -x (-3) and y stays the same (4)
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.
Answers
Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.
How many sales did Salesmen A and B have?Sales commission is a key aspect of sales compensation. It's the amount of money a salesperson earns based on the number of sales they have been able to make.
We are told that;
Salesman A gets $65 per sale.
Salesman B gets $300 and $40 per sale.
Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:
65x = 300 + 40x
Rearranging gives;
65x - 40x = 300
25x = 300
x = 300/25
x = 12 sales
The amount that salesman A earned is = 65 * 12 = $780
The amount that salesman B earned is = 300 + (40 * 12) = $780
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George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of George income that is subject to withholding is
Answers
The amount of George's income that is subject to withholding is $75,000, which excludes the alimony income.
What is alimony income?Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.
What are the incomes subject to withholding?The incomes subject to withholding include the following:
Regular CommissionsVacation payReimbursementsOther expense allowances PensionsBonusesDividendsGambling winnings.Data and Calculations:Wages income = $50,000
Gambling winning = $20,000
Alimony income = $10,000
Dividend income = $5,000
Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)
Thus, George's income that is subject to withholding is $75,000, excluding the alimony income.
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Paolo helped in the community garden for 2 3/4 hours this week. This was 1 5/6 equal length shift, because Paolo stopped early one day when it started to rain. How long is a single shift?
Answers
If 2+3/4 hours is equal to 1+5/5 equal length shift then the single shift is 1.5 hours long.
Given that Paolo helped in the community garden for 2 +3/4 hours this week which is 1+5/6 times length shift.
We are required to find the length of a single shift.
First we have to find the proper fraction of the given mixed fractions.
Fraction is combination of numerator and denominator.The number that is present above the division sign is known as numerator and the number that is present below the division sign is known as denominator.
2+3/4=(8+3)/4=11/4
1+5/6=(6+5)/6=11/6
let the length of a shift is x hours.So,
11/4=11*x/6
11/4=11/6 x
66/44=x
x=3/2
x=1.5 hours.
Hence if 2+3/4 hours is equal to 1+5/5 equal length shift then the single shift is 1.5 hours long.
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just need all answers to 19 asap please
Answers
Answer:
1&2)
GH = 28
FH = 56
XY = 7
XZ = 14
3-6) Acute, Obtuse, Acute, Right
7) Perimeter: 40 in. Area: 84 in^2
8) Perimeter: 42 m. Area: 84 m^2
9) Perimeter: 15.2 yd. Area: 14.44 yd^2
10) 1, 8, 27, 64, 125 These are the cubes of 1, 2, 3, 4, 5 so it's just the cube of the next number that was cubed before.
11) 128, 32, 8, 2, 1/2 Divide the previous number by 4.
12) 2, -6, 18, -54, 162 Multiply the previous number by -3
13-15) I'm sorry we didn't do those so I don't really know how that works sorry.
16) 3x - 14 = 34
3x = 48 Add 14 to each side (to isolate 3x)
x = 16 Divide by 3 both sides (to get x)
17) -4(x+3) = -28
x+3 = 7 divide by -4 on both sides (to get a step closer to solving for x and isolating x+3)
x = 4 subtract 3 from both sides (to get x (isolating x))
18) 43 - 9(x-7) = -x - 6
43 - 9x + 63 = -x - 6 distribute 9 to x and 7 (to expand)
106 - 9x = -x - 6 combine like terms (easier to deal with)
106 - 8x = -6 add x to both sides (so there's only x on one side)
112 - 8x = 0 add 6 to both sides (only one number left)
112 = 8x move -8x to the right side
x = 14 divide by 8 (to isolate x)
19) x = 29 degrees
20) x = 13 degrees
21) x = 9 degrees, y = 31 degrees
Step-by-step explanation:
4x = 5x-7
x = 7
GH = 5(7) - 7 = 35 - 7 = 28
FH = 4x + 5x - 7 = 4(7) + 28 = 28*2 = 56
3x - 5 = x + 3
x = 4
XY = 3(4) - 5 = 12 - 5 = 7
XZ = 7*2 = 14
Acute is < 90
Obtuse is > 90
Right is = 90
Straight is = 180
7) 2(6+14) = 2(20) = 40 in
6*14 = 84 in^2
8) 13+14+15 = 42 m
(12*14)/2 = 6*14 = 84 m^2
9) 3.8*4 = 15.2 yd
3.8^2 = 14.44 yd^2
19) 34 + 4x + 30 = 180
64 + 4x = 180
4x = 116
x = 29
20) 4x + 7x + 37 = 180
11x = 143
x = 13
21) 3y + 42 = 9x + 54
y + 14 = 3x + 18
y = 3x + 4
3y + 42 + 5x + 9x + 54 + 5x = 360
3y + 19x = 264
substitute y with 3x + 4
3(3x + 4) + 19x = 264
9x + 12 + 19x = 264
28x = 252
x = 9
so y = 3(9) + 4 = 27 + 4 = 31
Which expression is equivalent to sec²x - 1?
O A. cot²x
OB. tan²x
OC. CsC²x
OD. cos²x
Answers
[tex]l = sec {}^{2} x - 1 \\ l = \frac{1}{cos {}^{2} x} - \frac{cos {}^{2} x}{cos {}^{2} x} \\ l = \frac{1 - cos {}^{2} x}{cos {}^{2}x } \\ l = \frac{sin {}^{2} x}{cos {}^{2} x} = ( \frac{sinx}{cosx} ) {}^{2} = tan {}^{2} x[/tex]
BJoan wants to set a 4-digit unlock code for her mobile phone. She plans to use only odd numbers and to make sure that no number is used more than once. How many different unlock codes are possible.
Answers
Answer: 120
Step-by-step explanation:
There are 5 digits that are odd, 1 3 5 7 9
There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120
A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries. Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries. Let S denote the number of sundaes he makes and M the number of milkshakes he makes. Write an inequality that represents the condition based on the number of ice-cream scoops. Write an inequality that represents the condition based on the number of strawberries.
Answers
The system of inequalities be
3x+2y ≤ 25, 4x+6y ≤ 37
1) Maximum number of sundaes possible exists 9.
2) Maximum number of milkshakes possible exists 6.
3) Combination that uses the most of both Ice-cream and Strawberries = 7 scoops of ice cream and 1 scoop of strawberries.
What is system of inequalities?A system of inequalities exists the system where the set of more than one inequalities in more than or equivalent to one variable.
Given: A sundae needs 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries.
Ramses have to create sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x represent the number of sundaes he creates and y the number of milkshakes he creates.
We represent in tabular form,
Sundae(x) Milkshake(y) Total
Ice-cream 3 2 3x+2y
Strawberries 4 6 4x+6y
System of inequalities:
Sundaes and milkshakes with at most 25 ice-cream scoops exist
33x+2y ≤ 25.
Sundaes and milkshakes with at most 37 strawberries exist 4x+6y ≤ 37.
1) Maximum number of sundaes possible:
Maximum number of sundaes possible when y = 0
From the graph y = 0 at x = 9.25
Therefore, the maximum number of sundaes possible exists at 9.
2) Maximum number of milkshakes possible:
Maximum number of milkshakes possible when x = 0
From the graph x = 0 at y = 6.167
Therefore, the maximum number of milkshakes possible exists at 6.
3) Combination that utilizes the most of both Ice-cream and Strawberries:
A combination of both is possible there exists an intersection of both the equation.
From the graph, the intersection point exists x = 7.6 and y = 1.1.
Therefore, the Combination that utilizes the most of both Ice-cream and Strawberries = 7 scoops of ice cream and 1 scoop of strawberries.
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Find the missing number
1 4 6 2 5 7 8 9 7 15 41 ?
Answers
Answer:
43
Step-by-step explanation:
I would see a pattern like this
1 4 6 2 5 7 8 9 7 15 41 ?
------------------- ---------
start pattern key
then
15 = 8 × 2 - 1
a10 = a7 × a4 - a1
41 = 9 × 5 - 4
a11 = a8 × a5 - a2
? = 7 × 7 - 6 = 43
a12 = a9 × a6 - a3
need heeeelp please
Answers
Not a 100% sure.
can anyone help me solve this?
Answers
[tex] \frac{ \sqrt{x + 8} - \sqrt{x} }{8} \times \frac{ \sqrt{x + 8} + \sqrt{x} }{ \sqrt{x + 8} + \sqrt{x} } \\[/tex]
[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ [/tex]
[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ \frac{x + 8 - x}{8 \sqrt{x + 8} + 8 \sqrt{x} } = \frac{8}{8 \sqrt{x + 8} + 8 \sqrt{x} } [/tex]
PLEASE HELP ME THANK U
Answers
Answer:
2700 degrees
Step-by-step explanation:
The number of sides minus 2 times.
n = number of sides
(n-2)= 180
(17-2)(180)
(15)(180) = 2700
The function f(x) is shown in the graph.
Which type of function describes f(x)?
O Exponential
O Logarithmic
O Rational
O Polynomial
Answers
Answer: Logarithmic
Explanation:
This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.2 and a standard deviation of 2.5. Answer parts (a)–(d) below.
Answers
The probability that a randomly selected study's participant was less than 4 is 0.2266.
How to compute the probability?Given that:
mean = 5.8
standard deviation = 2.4
a) P(x < 4) = P[(x - mean ) /sd < (4 - 5.8) / 2.4]
= P(z < -0.75)
Using z table,
= 0.2266
b) P(4 < x < 6) = P[(4 - 5.8)/ 2.4) < (x - \m ) /sd < (6 - 5.8) / 2.4) ]
= P(-0.75 < z < 0.08)
= P(z < 0.08) - P(z < -0.75 )
Using z table,
= 0.5319 - 0.2266
= 0.3053
c) P(x > 8) = 1 - p( x< 8)
=1- p P[(x - \m ) / sd< (8 - 5.8) / 2.4]
=1- P(z < 0.92)
Using z table,
= 1 - 0.8212
= 0.1788
Lastly, there are no unusual events because all the probabilities are greater than 0.05.
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Which of the following statements is true?
0.8 <0.2 < 0.9 <0.801
0.2 <0.8 <0.9 <0.801
0.2 0.8 0.801 0.9
0.2 0.9 0.8 0.801
Answers
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[tex]\: \sf \:0.2 < 0.8[/tex][tex] \: \sf \:0.8 < 0.801[/tex][tex] \: \sf \:0.801 < 0.9[/tex]Combining the above inequalities, we get :
[tex]\qquad❖ \: \sf \:0.2 < 0.8 < 0.801 < 0.9[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Option C is correct17. What is the probability that the student will play football and baseball? (a) 28 /33 (b) 35 /66 (c) 4 /33 (d) 8 /11
Answers
Total = 66
Football and Baseball Players = 3 + 5 = 8
probability of a football and baseball player = 8/66 = 4/33
lim
n->infinity 4n^3-5/9n^3+7
Answers
Answer:
[tex]\lim_{n\rightarrow +\infty } \frac{4n^{3}-5}{9n^{3}+7}=\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]\lim_{n\rightarrow +\infty } \frac{4n^{3}-5}{9n^{3}+7}[/tex]
Pull out n³
[tex]=\lim_{n\rightarrow +\infty } \frac{n^{3}\times \left( 4-\frac{5}{n^3} \right) }{n^{3}\times \left( 9+\frac{7}{n^3} \right) }[/tex]
Simplify by n³
[tex]=\lim_{n\rightarrow +\infty } \frac{ \left( 4-\frac{5}{n^3} \right) }{ \left( 9+\frac{7}{n^3} \right) }[/tex]
Remark : [tex]\lim_{n\rightarrow +\infty } \frac{5}{n^3} \right) } = 0 \ \. \text{and} \ \ \lim_{n\rightarrow +\infty } \frac{7}{n^3} \right) } = 0[/tex]
Then
[tex]\lim_{n\rightarrow +\infty } \frac{ \left( 4-\frac{5}{n^3} \right) }{ \left( 9+\frac{7}{n^3} \right) }=\frac{4-0}{9+0}[/tex]
[tex]=\frac{4}{9}[/tex]
( P + 5 ) - 4 = 6
What is the value of P?
Answers
Answer:
ight first you add 4 to 6 and that gets you 10 so you left with p+5=10 then you subtract 5 from 10 so p is gonna be 5
Step-by-step explanation:
3y+4z = -37
2x + 4y - 3z= 127
4y = 52
Answers
Answer:
x = 9, y = 13 , z = - 19
Step-by-step explanation:
3y + 4z = - 37 → (1)
2x + 4y - 3z = 127 → (2)
4y = 52 → (3)
divide both sides by 4 in (3)
y = 13
substitute y = 13 into (2) and solve for z
3(13) + 4z = - 37
39 + 4z = - 37 ( subtract 39 from both sides )
4z = - - 76 ( divide both sides by 4 )
z = - 19
substitute y = 13 and z = - 19 into (2) and solve for x
2x + 4(13) - 3(- 19) = 127
2x + 52 + 57 = 127
2x + 109 = 127 ( subtract 109 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
solution is x = 9, y = 13 , z = - 19
SUPER URGENT PLEASE ANSWER ASAP
Answers
Answer:
shown below
Step-by-step explanation:
Look at the white squares, count them. 1, 2, 3. the next will be 4 and 5. draw 4 white squares, then house it in black squares like the others. to know if u did it right, count the black squares, there should be 8, then 9.
Find the midpoint of the segment with the following endpoints.
(10, 3) and (2, 9)
Answers
What is the radius and diameter of the following circle?
Radius = cm
diameter= cm
Answers
The value of diameter and radius of circle is 7 cm and 3.5cm.
According to the statement
we have given that the a figure of circle and we have to find the radius and the diameter of the circle.
So, We know that the
The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.
Here from the figure it is clear that the
Diameter of circle = 7cm
and the radius of circle we have to find
So,
Radius of circle = Diameter /2
Substitute the values in it then
Radius of circle = 7cm /2
Radius of circle = 3.5 cm.
So, The value of diameter and radius of circle is 7 cm and 3.5cm.
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