Answer:
(x - 6)² + (y + 7)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (6, - 7 ) and r = 4 , then
(x - 6)² + (y - (- 7) )² = 4² , that is
(x - 6)² + (y + 7)² = 16
Could anyone help me solve for x? I've tried multiple times and can't seem to get the answer that was given
Step-by-step explanation:
Try Photo-math app or Math-way app.
685 gym members were asked if they use the elliptical machine or treadmill as their primary cardiovascular exercise. 257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.
a.) Organize this using a venn diagram (2 marks)
b.) A gym member is chosen from this group. What is the probability that this member uses the treadmill only? (1 mark)
Given:
Total number of gym members = 685
257 said they use the treadmill, 157 said they use the elliptical, and 85 said they use both.
To find:
a. The venn diagram.
b. The probability that a member uses the treadmill only?
Solution:
(a)
We have,
Total number of gym members = 685
Treadmill user = 257
Elliptical user = 157
Who use both = 85
Only treadmill user is:
[tex]257-85=172[/tex]
Only Elliptical used
[tex]157-85=72[/tex]
Therefore, the venn diagram for the given situation is shown below.
(b)
The member who use treadmill only = 172
Total user = 685
The probability that a member uses the treadmill only is:
[tex]P(\text{Only treadmill})=\dfrac{\text{Only treadmill users}}{\text{Total users}}[/tex]
[tex]P(\text{Only treadmill})=\dfrac{172}{685}[/tex]
Therefore, the probability that a member uses the treadmill only is [tex]\dfrac{172}{685}[/tex].
Is (-4, 2) a solution of 4x + 5y <_-7?
Choose 1 answer:
Yes or No
Answer:
no
Step-by-step explanation:
substitute the (x,y) values into the inequality.
4(-4)+5(2) less than or equal to -7
-16+10≤-7
-6≤-7 not a valid answer so ((-4,2) is not a solution
A triangle is rotated 90 about the origin. Which rule describes the transformation?
Answer:
1st option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- x, - y )
Answer:
your answer will be the first option
Step-by-step explanation:
edge 2021
What is the length of leg s of the triangle below?
45
4-12
90°
45
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
s = 4 → A
Surface Area of Prisms
Can someone show me how to solve and also what the formula is. Please!
Answer:
400 in.²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 8 in.
h = 15 in.
s1 = 17 in.
s2 = 15 in.
s3 = 8 in.
L = 7 in.
Plug in the values
S.A = 8*15 + 7(17 + 15 + 8)
S.A = 120 + 7(40)
S.A = 120 + 280
S.A = 400 in.²
Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?
a.) Multiplication
b.) Subtraction
c.) Addition
d.) Division
Answer:
Multiplication
Amount Tom earns per hour = $7
Step-by-step explanation:
Amount Jeff earns per hour = $14
Amount Tom earns per hour = 1/2 × $14
Note: 1/2 = 0.5
Amount Tom earns per hour = 1/2
× $14
= 0.5 × $14
= $7
Amount Tom earns per hour = $7
Find the area of circle x that has a radius at coordinates X = (0, 3) and Y = (-3, -1). Round to the nearest tenth.
Answer:
78.5 units²Step-by-step explanation:
Area of circle:
A = πr²Distance between x and y is same as r, so:
r² = (0 + 3)² + (3 + 1)² = 9 + 16 = 25Then the area is:
A = π*25 = 78.5 units² (rounded)3. Find the products using suitable identity:
a) (t –2)(t –2) b) (3y –2z) (3y + 2z) c) 105 × 98v
Answer:
a) t²- 4x + 4
b) 9y² - 4z
c) 10290v
Step-by-step explanation:
a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc
c) a × bx = abx
How do I simplify rational expressions
Answer:
a rational expression is an expression that has a RATIO in it
look at the word "RATIO"nal
a ratio is just a fraction...
so your question is "how to simplify fractions"
lots of approaches, this is one of them...
PRIME FACTOR the numerator and denominator
[tex]\frac{90}{135}[/tex]
90 = 2 * 3 * 3 * 5
135 = 3 * 3 * 3 * 5
= 2/3 (the two 3's cancel and the 5's cancel)
Step-by-step explanation:
what is 50000000000000000000000000000 cubed
Answer:
50000000000000000000000000000*50000000000000000000000000000*50000000000000000000000000000=1.25e+86
Hope This Helps!!!
Can someone please help me with this question
Answer:
The answer should be: B
I think it's B because there are 2 cups of water (2c) and 7 bottles of water (7w) which costs $16 so that would be 2c +7w=16. Also for the other one, it's 3 cups (3c) and 8 bottles of water (8W) and the cost is $19 so that would be
3c + 8w =19
Step-by-step explanation: Hope this helps and gl :))
find the distance between the points (7,23) and (3,-3), rounded to the hundredths place
Answer:
26.31
Step-by-step explanation:
Use distance formula
d = [tex]\sqrt{(x_{2}-x_{1)^{2} + (y_{2}-y_ ^{1)^2} } }[/tex]
substitute in points and solve
d = [tex]\sqrt{(7-3)^2 + (23-(-3))^{2} }[/tex]
d = [tex]\sqrt{4^{2}+26^{2} }[/tex]
d = [tex]\sqrt{16 + 676}[/tex]
d = [tex]\sqrt{692}[/tex]
d = 26.30589288
d = 26.31 rounded
Express sin O as a fraction in simplest form
Answer:
sin o = opposite/hypotenuse
sin o= 7/12
Solve for x. Round to the nearest tenth, if necessary.
Answer:
25.5
Step-by-step explanation:
first find angle E.
remember, all angles in a triangle always add up to 180 degrees.
E = 180 - 90 - 20 = 70 degrees
now we use the law of sines.
ED/sin(20) = DC/sin(70) = EC/sin(D)
EC = x
sin(D) = sin(90) = 1
24/sin(70) = x/1 = x
x = 25.5
If you flip a penny, toss a 1–6 number cube, and flip a quarter, how many outcomes are possible?
Answer:
6x 2 = 12
Step-by-step explanation:
Answer:
24
EXPLANATION:
there's 4 different outcomes for the Penny and Quarter combos
- P Heads and Q Heads
- P Tails and Q Heads
- P Heads and Q Tails
- P Tails and Q Tails
Each of those outcomes will have one of six numbers so I just figured
6 outcomes for number cube × 4 outcomes for P and Q (penny and quarter)
6 × 4 = 24
:)
(14) (55, 42, 32, 48, 55, x), mean = 49
Answer:
78
Step-by-step explanation:
Add all the numbers given =256 then take the mean and multiply it with 7 =334 then take 334_256=78 and done
The value of -9 is __ than the value of -12 because -9 is to the __of -12 on the number line.
Less
Or
Greater
Answer:
Step-by-step explanation:
-9 is greater than the value of -12 because -9 is to the right of -12 on the number line.
A retailer allows 15% discount on the Marked price of an electric fan. If a customer pays Rs 2244 with 10% VAT,find the Marked Price of the fan
Answer:
2400
Step-by-step explanation:
2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.
so, let's calculate backwards :
2244 = 100% sale price + 10% VAT = 110%
1% = 2244 / 110 = 20.40
100% (actual sale price) = 20.40×100 = 2040
now, because of the 15% discount, these 2040 are only 85% of the originally marked price.
2040 = 85%
1% = 2040 / 85 = 24.00
100% (the original marked price) = 24×100 = 2400
Please help me with this one
Answer:
71.51
Step-by-step explanation:
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·3+7·3+7·3+1
2·﹣34+2·(3·7)2+2·(3·7)2﹣74+2·(7·7)2﹣74=71.51219
Choose the correct answer from the given four options: In an AP, if d = –4, n = 7, an = 4, then a is *
6
20
7
28
[tex]a = 28.[/tex]
Step-by-step explanation:
[tex] {a}n = a + (n - 1)d[/tex]
[tex]4 = a + (7 - 1)( - 4)[/tex]
[tex]4 = a + 6( - 4)[/tex]
[tex]4 = a + ( - 24)[/tex]
[tex]4 = a - 24[/tex]
[tex]4 + 24 = a[/tex]
[tex]28 = a[/tex]
(OR)
[tex]a = 28.[/tex]
pls help me expand this expression
Answer:
just be smart
Step-by-step explanation: (2x)
I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.
Hello,
[tex]m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\[/tex]
[tex]cos(30^o)=\dfrac{\sqrt{3} }{2} \\[/tex]
In the triangle ABC,
[tex]cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\[/tex]
[tex]sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}[/tex]
In the triangle ACB,
[tex]cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\[/tex]
If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a
Hello,
[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]
Select the correct answer. Help
if A={1,2,3} and B={a,b,c} find A×B and B×A. Also show both of them in arrow diagram. I need for exam
Answer:
the above answer help you guy.
what is the proportion 4/y= 5/10
Answer:
So, y =8
Step-by-step explanation:
4/y = 5/10
or, 4*10 = 5*y
or, 40 = 5y
or, y = 40/5
therefore, y = 8
Which expressions have the same solution as –4(6)? Select three options..
–4(– 6)
4(– 6)
6(– 4)
–8(2)
12(– 2)
Answer:
4(– 6)
6(– 4)
12(– 2)
Step-by-step explanation:
The first and last term of an A. P are 1 and 121 respectively. Find the number of terms in the A.P and the common difference between them if the sum of the term is 1281
Answer:
No.of terms=21
Common difference=6
Find each measure
Please help me
Answer:
11. 90
12. 90
13. 90
14. 90
15. 180
16. 135
17. 225
18. 270
Step-by-step explanation:
Answer:
BC=90
AC=90
AE=90
EB=90
ACB=180
AD=135
CBF=225
ADC=270
Step-by-step explanation:
for numbers 11-14 they're all linear pairs which means they're each 90 degrees
and as long as O is the center point, all the arcs are the same value as the degree.
for numbers 16-17 you can assume that line FO and DO bisects the right angles which makes them 45 degrees
and for 18, you just multiply 3 and 90 degrees
