Answer:
[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]
Step-by-step explanation:
Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]
Plug in the center and radius:
[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]
Simplify:
[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]
So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]
The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?
Step-by-step explanation:
Formula for finding midpoint of a line segment :
[tex] (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
you should have both the points of line segment.Just subtitute points in the formula and determine mid points.
Note: if you have any question about it you can freely ask. Thanks
Graph step by step:
f(x)=-2x+1
Step-by-step explanation:
Root:(1/2, 0)
Domain: x∈R
Range: y∈R
Vertical intercept: (0, 1)
Type the correct answer in the box. Round your answer to the nearest hour. A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find how long it takes for the bacteria cells to increase to 300. Use the formula , where is the original number of bacteria cells, is the number after t hours, and d is the time taken to double the number. It takes_____ hours for the number of bacteria to increase to 300.
Answer:
It takes 45 hours for the bacteria to triple the initial amount
Answer:
45 HOURS IS CORRECT
Step-by-step explanation:
Question 8 of 10
What is the sum of the roots of the polynomial shown below?
f(x) = x3 + 2x2 – 118 - 12
Answer here
Answer: y=x3+2x2−130
Step-by-step explanation:
Hope this helps!
A
person that weighs 150 pounds on
Earth will weigh 25 pounds on the Moon.
How much will a 90-pound person weigh
on the Moon?
A. 10 lb
B. 12 lb
C. 15 lb
D. 20 lb
Answer:
Step-by-step explanation:
Ans:15 lb
A 90-pound person will weigh 15lb as we weigh six times less on the moon than the earth. So to find out simply divide 90 by 6.
Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? Use the model A ( T ) = P e^rt and round to the nearest tenth of a year.
It will take approximately ____ years for the investment to grow to $10,000.
.
Answer:
7
Step-by-step explanation:
sing the equation > A = Pe^rt
20000 = 10000e^0.1t > 10% = 0.1
2 = e^0.1t
log 2 = log e^0.1t > log to the base e
log 2 = 0.1t * 1 log e to the base e =1
0.6931 = 0.1t
t = 6.931
= 7 years
Hope this helps <3
Wanna get ranked faster? Comment "rankup"
Find m<1 if m<CUB = 78
[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]
[tex]\\ \sf\longmapsto m<1+48=78[/tex]
[tex]\\ \sf\longmapsto m<1=78-48[/tex]
[tex]\\ \sf\longmapsto m<1=30[/tex]
Solve for x: (1/3)x = 81
Answer:
243
Step-by-step explanation:
1 /3 x=81
Step 1: Multiply both sides by 3.
3*( 1 /3 x)=(3)*(81)
x=243
The value of x for the expression (1/3)x = 81 is 243.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations.
The given expression is,
(1/3)x = 81
To find the value of x,
Solve the expression,
(1/3)x = 81
x = 81 x 3
x = 243
The required value of x is 243.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
Sugar cookie recipe that makes five dozen cookies calls for 2.5 cups of white sugar how much white sugar should you need to make two dozen cookies
Answer:
1 cup
Step-by-step explanation:
2.5 cups 5 dozen.
x cups 2 dozen.
what is the factor to turn 5 into 2 ?
5×a = 2
a = 2/5
so, we need to multiply also the cups with that factor to keep the relationship cups and amount of cookies unchanged.
therefore,
2.5 × 2/5 = 5/2 × 2/5 = 1
she needs 1 cup.
Does anyone know this and can help please
Answer:
[tex]\frac{y^7z^3}{x}[/tex]
Step-by-step explanation:
When variables have negative exponents, switch their positions.
[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]
9. ax + by = (a - b), bx - ay = (a + b)
Answer: give me brainliest
Step-by-step explanation:
ax+by=a-b
ax=a-b-by
x=a-b-by/a←
bx-ay=a+b
substituting
b(a-b-by/a)-ay=a+b
ab-b²-b²y/a-ay=a+b
ab-b²-b²y-a²y/a=a+b
ab-b²-(b²+a²)y=a²+ab
-(b²+a²)y=a²+ab-ab+b²
(b²+a²)y=-(a²+b²)
y=-(a²+b²)/a²+b²
y=-1←
substituting value of y
x=a-b-b(-1)/a
x=a-b+b/a
x=a/a
x=1
Which is the graph of 4x + 2y < 3? On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded.
Answer:
it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.
y<-2x+3/2
-2 = m and the y-intercept is 3/2
Step-by-step explanation:
Answer:
The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3
Step-by-step explanation:
Math what is the range of the absolute value function
Answer:
The choose C.
I hope I helped you^_^
You want to buy a $239,000 home. You plan to pay 20% as a down payment, and take out a 30 year loan for
the rest
a) How much is the loan amount going to be?
b) What will your monthly payments be if the interest rate is 5%?
$
c) What will your monthly payments be if the interest rate is 6%?
Submit Question
3
1
O
A
оо
Answer: a) 191200 b) 557.67 c) 562.98
Step-by-step explanation:
a) 239000 times .8 (aka 80%) = 191200
b) 191200/(12 times 30) = 531.11
531.11 times 1.05 (5%) = 557.667
Round to nearest cent: 557.67
c) 191200/(12 times 30) = 531.11
531.11 times 1.06 (6%) = 562.978
Round to nearest cent: 562.98
A scuba diver is 30 feet below sea level. She then rises 30 feet. What is the scuba
diver's new position?
Answer:
The scuba diver is at sea level.
Step-by-step explanation:
Hi there!
We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.
This means she would be at sea level, not above or below.
You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.
I hope this helps!
16. If there are 15 girls and 45 boys in a class. Then, find the percentage of boys and girls.
Answer:
25% and 75%
Step-by-step explanation:
15+45=60
girl = [tex]\frac{15}{60} *100[/tex] = 25%
boy = [tex]\frac{45}{60} *100[/tex] = 75%
simplify 5 - (3 a + 1) + 2 a
Step-by-step explanation:
5-3a-1+2a
5-1-3a+2a
4-1a
Add the Following Fractions:
\large \frac{7}{16}+\frac{5}{16}=?
a. 80/112
b. 12/32
c. 12/16 = 3/4
d. 35/16
Answer: C, 3/4 And it's decimal form is 0.75
Step-by-step explanation:
help find the surface area of a cylinder with the height of 9 inches and base radius of 4
9514 1404 393
Answer:
104π in² ≈ 326.7 in²
Step-by-step explanation:
Put the given numbers in the surface area formula for a cylinder.
SA = 2πr(r +h)
SA = 2π(4 in)(4 in +9 in) = 104π in² ≈ 326.7 in²
Answer:
326.73
Step-by-step explanation:
You just have to plug this into the cylinder surface area formula, which is [tex]A=2\pi rh+2\pi r^{2}[/tex]. So solving this would be [tex]A=2\pi (4) (9) +2\pi (4)^{2}[/tex]. You can simply put that into your calculator, and you'll get 326.72564, which rounds to 326.73. Make sure to read your problem carefully in case it specifies what number to round to though.
The price of an item has been reduced by 65%. The original price was $79. Find the price of the item now.
11. Which of the following is an example of a rational number?
Formula to find perimeter of rectangle
Hey there!
The formula to find the perimeter of a rectangle is "P=2(l+w)".
Hope this helps!
Have a great day! :)
Answer:
formula to find the perimeter of rectangle is
2(l+b)hope it helps
stay safe healthy and happy.
Luc has to read 3 novels and 12 short stories for his literature class. The professor will
choose one reading at random for the final exam. Find the probability that the professor
will choose a novel for the final exam. Express your answer as a) a fraction, and b) as a
decimal.
Show your work.
Help! :)
Answer:
Fraction: 1/5
Decimal: 0.2
Step-by-step explanation:
Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
Answer:
a = 3 and b = 2
Step-by-step explanation:
From completion of squares:
[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]
a is 3
b is 2
Answer:
Answer B : a = 3 and b = 2
Step-by-step explanation:
Give man above brainlyiest he deserives it
4×..., biar jadi 100...
tolong ya kak...
Answer:
25
Step-by-step explanation:
4×25 =100
____________
Answer:
25
Step-by-step explanation:
4 × 25 = 100
100 ÷ 4 = 25
Hope this help :)
#Semangat_Belajar
What’s is the length of side b?
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto B^2=45^2-27^2[/tex]
[tex]\\ \sf\longmapsto B^2=2025-729[/tex]
[tex]\\ \sf\longmapsto B^2=1296[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{1296}[/tex]
[tex]\\ \sf\longmapsto B=36[/tex]
Answer:
[tex]\displaystyle 36 = b[/tex]
Step-by-step explanation:
The scale factour is [tex]\displaystyle 4\frac{1}{2},[/tex]so multiply 8 by 4½:
[tex]\displaystyle 36 = [4\frac{1}{2}][8][/tex]
Now, the way you can tell that this is the scale factour is by our MAGIC NUMBER, 10. If you divide both hypotenuses, you will get 4½:
[tex]\displaystyle 4\frac{1}{2} = 45 \div 10[/tex]
From here, you already know you must multiply 8 by this scale factour.
I am delighted to assist you at any time.
can someone help me please
Step-by-step explanation:
11.
[tex] \frac{x - 4}{ \frac{x}{4} - \frac{4}{x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} }{4x} - \frac{16}{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{ {x}^{2} - 16 }{4x} } [/tex]
[tex] \frac{x - 4}{ \frac{(x + 4)(x - 4)}{4x} } [/tex]
[tex] \frac{4x}{x + 4} [/tex]
12.
[tex] \frac{ \frac{ {x}^{2} - 1 }{x} }{ \frac{(x - 1) {}^{2} }{x} } [/tex]
[tex] \frac{ {x}^{3} - x}{ {x}^{3} - 2 {x}^{2} + x } [/tex]
[tex] \frac{x( {x} - 1)(x + 1) }{x( {x} - 1) {}(x - 1) } [/tex]
[tex] \frac{x + 1}{x - 1} [/tex]
13.
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1} } - \sqrt{ {t}^{2} + 1} }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{ {t}^{2} }{ \sqrt{ {t}^{2} + 1 } } - \frac{ {t}^{2} + 1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ \frac{1}{ \sqrt{ {t}^{2} + 1 } } }{ {t}^{2} } [/tex]
[tex] \frac{ - \frac{ \sqrt{ {t}^{2} + 1 } }{ {t}^{2} + 1 } }{ {t}^{2} } [/tex]
[tex] - \frac{ \sqrt{ {t}^{2} + 1} }{ {t}^{2}( {t}^{2} + 1) } [/tex]
14.
[tex] \frac{3x { }^{ \frac{1}{3} } - x {}^{ \frac{ - 2}{3} } }{3x {}^{ - \frac{2}{3} } } [/tex]
[tex] \frac{3x - 1}{3} [/tex]
Which equation has no solution?
4(х + 3) 2x = 6(х + 2)
5 + 2(3 + 2x) = x4 3(х + 1)
5(х + 3) +х= 4(х + 3) + 3
4 + 6(2 + х) = 2(3х + 8)
Answer:
2? equation does not have a solution
Step-by-step explanation:
Please I need help the picture below with the options
9514 1404 393
Answer:
(B) Function 2
Step-by-step explanation:
We can compute the slope of Function 2 using the slope formula.
m = (y2 -y1)/(x2 -x1) . . . . where x and y are the independent and dependent variables.
m = (0.2 -0.8)/(3 -2) = -0.6
The slope of Function 1 is about ...
-3/7 ≈ -0.43
The slope of Function 2 is more negative.
__
On a graph, the line representing function 2 has a steeper downward slope.
Graph the equation.
2x + 3y = 12