Step-by-step explanation:
The solution and answer are well written in the Pic above.
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
??????????????????????????
Answer:
Step-by-step explanation:
so they used a total of 560 units
we are next told that if the units of usage are 360 or less use the 1st formula, but there is morn than 360 units in the given amount so use the 2nd formula
0.1(x-360+54)
0.1(560-360) + 54 = monthly bill
20+54 = monthly bill
74 = monthly bill
answer D looks good
Please help!!
What is the formula that is used for DISCOUNT SALES?
Answer:
discounted price = original price ( 1 - discount rate)
Step-by-step explanation:
Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125
Answer:
7
Step-by-step explanation:
Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In this case:
(4x + 7) + (97) = (17x + 13)
4x + 104 = 17x + 13
4x + 91 = 17x
91 = 13x
7 = x
Need answer :))))))))
Answer:
cost per serving can be used as a result of using your head to think
top cylinder: 6 in, 8 in
botton cube: 9 in, 9 in, 15 in
The volume of this figure is _____ cubic inches.
Answer:
1441.08 in^3
Step-by-step explanation:
Volume of rectangular prism = 15 * 9 * 9 = 1215 in^3
radius = 3 in
Volume of the cylinder = 3^2 * 3,14 * 8 = 226.08 in^3
Total volume = 1215 + 226.08 = 1441.08 in^3
Answer:
HJHJGHJHG
Step-by-step explanation:
JGHU45565677689789
Solve the equation and enter the value of x below. 7(x + 9) + 5 = 96
Hello!
[tex]\large\boxed{x = 4}[/tex]
7(x + 9) + 5 = 96
Distribute:
7x + 63 + 5 = 96
Combine like terms:
7x + 68 = 96
Subtract 68 from both sides:
7x = 28
Divide both sides by 7:
x = 4
Answer:
[tex]\fbox{x = 7}[/tex]
Step-by-step explanation:
7(x + 9) + 5 = 96
Solve for x.
7(x + 9 ) + 5 = 96Step 1 :- Distribute 7.
7 × x + 7 × 9 + 5 = 967x + 63 + 5 = 96Step 2:- Add 63 and 5.
7x + 68 = 96Step 3 :- Move constant to the right-hand side and change their sign.
7x = 96 - 68Step 4 :- Subtract 68 from 96.
7x = 28Step 5 :- Divide both side by 7.
[tex]\frac{7x}{7} \\ [/tex] = [tex]\frac{ 28} {7}\\[/tex] x = 45x+1=2x-5
I need help
Answer:
x =-2
Step-by-step explanation:
5x+1=2x-5
Subtract 2x from each side
5x-2x+1=2x-2x-5
3x+1 = -5
Subtract 1 from each side
3x+1-1 = -5-1
3x=-6
Divide by 3
3x/3 = -6/3
x = -2
What is the value of d?
A)80
B)100
C)84
D)50
Answer:
100 degrees
Step-by-step explanation:
You can tell by just looking at the picture :)
I need help with this it’s saying the “blank” Method would be the best for solving this system of equations
6x + 4y=8
-x+4y=12
Answer:
-12+4y=x..............1
6(-12+4y)+4y=8
-72+24y+4y=8
28y=80
y=3.33
-12+4(3.33)=x
1.32=x
Given the function (Image below) [Algebra ll]
Answer the questions about the perpendicular bisector below.
Given:
The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).
To find:
The perpendicular bisector of line segment DO.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The midpoint of DO is:
[tex]Midpoint=\left(\dfrac{1+7}{2},\dfrac{5+(-1)}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{4}{2}\right)[/tex]
[tex]Midpoint=\left(4,2\right)[/tex]
Therefore, the midpoint of DO is (4,2).
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Slope of DO is:
[tex]m=\dfrac{-1-5}{7-1}[/tex]
[tex]m=\dfrac{-6}{6}[/tex]
[tex]m=-1[/tex]
Therefore, the slope of DO is -1.
We know that the product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]m_1\times (-1)=-1[/tex]
[tex]m_1=1[/tex]
The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-2=1(x-4)[/tex]
[tex]y-2+2=x-4+2[/tex]
[tex]y=x-2[/tex]
Therefore, the equation of the perpendicular bisector of DO is [tex]y=x-2[/tex].
Which of the following is equivalent to 2/x + 3/x−1 for x>1 ?
pls explain
Answer:
Step-by-step explanation:
what is the answer to x^2-11=25 please
Hey there!
[tex]\mathsf{x^2 - 11 = 25}[/tex]
[tex]\large\textsf{ADD 11 to BOTH SIDES}[/tex]
[tex]\mathsf{x^2 - 11 + 11 = 25 + 11}[/tex]
[tex]\large\textsf{CANCEL out: -11 + 11 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 25 + 11 because that helps solve for the x-value}[/tex]
[tex]\mathsf{25 + 11 = \bf 36}[/tex]
[tex]\large\textsf{NEW EQUATION: }\mathsf{x^2=36}[/tex]
[tex]\large\textsf{Take the square root of the number (36)}[/tex]
[tex]\mathsf{x = \pm \sqrt{36}}[/tex]
[tex]\mathsf{\pm = \boxed{\bf plus-or-minus}}[/tex]
[tex]\mathsf{x = \sqrt{-36}\rightarrow \bf -6}[/tex]
[tex]\large\textsf{or}[/tex]
[tex]\mathsf{x = \sqrt{36} = \bf 6}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf x = 6 or x = -6}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
x² - 11 = 25
Add 11 to both sides.
x² - 11 + 11 = 25 + 11
Cancle out the 11 because when we add -11 to 11 that gives 0. On other side add 25 and 11 we get 36.
x² = 36
Take the square root of both sides of the equation and remember to use both positive and negative roots.
√x² = ± √36
x = ± 6
Write the solutions, one with a+ sign and one with a- sign.
[tex] x_1 = 6[/tex]
[tex]x_2 = -6[/tex]
This equation has two solutions which are :-
[tex] x_1 = 6[/tex]and [tex]x_2 = -6[/tex]
I need someone to please explain how to turn this into a simplified fraction. (NOTE: please explain!!) __ 3.541 The repeating sign is only above the 41, not the five
the way to do these recurring decimals is by firstly separating the repeating part or recurring part and then multiply it by some power of 10 so we move it to the left, lemme show
[tex]3.5\overline{41}\implies \cfrac{35.\overline{41}}{10}\qquad \stackrel{\textit{say that the repe}\textit{ating part is }~\hfill }{x = \overline{0.41}\qquad \qquad \textit{so that }35.\overline{41}=35+\overline{0.41}=35+x}[/tex]
now, let's multiply that repeating part by some power of 10 that moves the 41 to the left, well, we have two repeating decimals, 4 and 1, so let's use two zeros, namely 100 or 10², thus
[tex]100\cdot x = 41.\overline{41}\implies 100x - 41+\overline{0.41}\implies 100x = 41+x\implies 99x=41 \\\\\\ \boxed{x =\cfrac{41}{99}}\qquad \qquad \textit{so then we can say that}~~\cfrac{35.\overline{41}}{10}\implies \cfrac{35+\frac{41}{99}}{10} \\\\\\ \cfrac{~~\frac{3506}{99}~~}{10}\implies \cfrac{~~\frac{3506}{99}~~}{\frac{10}{1}}\implies \cfrac{3506}{99}\cdot \cfrac{1}{10}\implies \cfrac{3506}{990}\implies \blacktriangleright \stackrel{\textit{which simplifies to}}{\cfrac{1753}{495}} \blacktriangleleft[/tex]
Question 4 (True/False Worth 4 points)
(0701)
True or False?
is a solution to the inequality 12+2 < 12
True
O False
Solve:
all real numbers
no solution
Please help
Answer:
In a problem where you
calculate the "solution" to a "system of equations"
one of three things will happen....
#1) you end up with x=3 , or y=7 .. or something like that
if that happens then there is ONE SOLUTION
#2) you end up with 5=5, or 7=7 , or 0=0
in this case the lines are the same and you have "all real numbers" as the solution (there are an infinite number of solutions, the lines are the same line)
#3) you end up with 1=2, 0=5, 2=7, etc. this is impossible, there are no solutions ... the lines are parallel
Step-by-step explanation:
Help on this question
Answer:
is it me or can I not see anything
expand: 4(w - 2)
(with the steps)
Answer:
4w-8
Step-by-step explanation:
4(w-2)
(4*w)-(4*2)
4w-8
Answer:
4w-8
Step-by-step explanation:
4(w - 2)
Distribute
4*w - 4*2
4w-8
QUESTION 4
f(x)=4x-10/x-2
4.1 Determine the x- and y-intercepts of
4.2 +9. Write f (x) in the form: f(x) = x - 2 4.3 Draw the graph of y, clearly show the intercepts with the axes and the asymptotes.
4.4 Give the equations of the asymptotes of f(x) + 3.
Answer:
4.2+9.Write f (x)in the form:f(x)=x-2 4.3Draw
If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .
Answer:
[tex]2y^2-7y+6=0[/tex]
Step-by-step explanation:
We are given that [tex]\alpha[/tex] and [tex]\beta[/tex] are the zeroes of the polynomial [tex]6y^2-7y+2[/tex]
[tex]y^2-\frac{7}{6}y+\frac{1}{3}[/tex]
We have to find a quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex].
General quadratic equation
[tex]x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes[/tex]
We get
[tex]\alpha+\beta=\frac{7}{6}[/tex]
[tex]\alpha \beta=\frac{1}{3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3[/tex]
Substitute the values
[tex]y^2-(7/2)y+3=0[/tex]
[tex]2y^2-7y+6=0[/tex]
Hence, the quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex] is given by
[tex]2y^2-7y+6=0[/tex]
Dora travels between the two mile markers shown and then finds her average speed in miles per hour. Select the three equations that represent this situation.
The image of the 2 mile markers is missing as well as the options and so i have attached them.
Answer:
> 1.5 hours = 105 miles/speed
> Speed = 105 miles/1.5 hours
> 105 miles = 1.5 hours × speed
Step-by-step explanation:
From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.
Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles
Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.
Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.
We know that;
Speed = distance/time
Thus;
Speed = 105/1.5
Speed = 70 mph
Thus, the 3 equations that represent this situation from the options are;
> 1.5 hours = 105 miles/speed
> Speed = 105 miles/1.5 hours
> 105 miles = 1.5 hours × speed
Answer:
1.5 hours = 105 miles/speed
Speed = 105 miles/1.5 hours
105 miles = 1.5 hours × speed
Step-by-step explanation:
The price of a jacket usually costing £50 is increased to £65.
Work ou the percentage increase.
Answer:
So the answer is 30%
Step-by-step explanation:
1. For 50 = 15 increase euros
2. For 100 = 15/50 x 100 = 30 increase in euros
3. 30/100 = 30%
OR....
1. Ten percent of 50 is 5.
2. 5x3= 15(increase in euros)
3. 10 percent three times which is equal to 30%.
Suppose that x - y = 2 and 2x – 3y = 11. Then x + y =
Answer:
x + y = -12
Step-by-step explanation:
x - y = 2
2x – 3y = 11
-2x +2y = -4
2x – 3y = 11
-y = 7
y = -7
x = -5
x + y = -12
Solve for 0 or x, round to the nearest tenth.
Answer:
theta = 44.4 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig formulas
cos theta = opposite/ hypotenuse
cos theta = 15/21
Take the inverse of each side
cos^ -1 (cos theta) = cos ^-1 (15/21)
theta =44.4153086
theta = 44.4 degrees
PLS HELP !!!
a. 15
b. 1
c. 2
d. 11
Answer:
d
Step-by-step explanation:
ive had this exac problem before
Answer:
B. 1
Step-by-step explanation:
Since the sides are equal to each other, the equations will be equal.
4x + 7 = x + 10
-7 -7
---------------------
4x= x + 3
-x -x
-------------
3x = 3
---- ---
3 3
x = 1
The answer is 1.
Please help me!!! ASAP!
Which table represents a linear function?
A. X. Y
2. -46
4. -18
6. 58
B. X. Y
2. -2
4. 4
6. 14
C. X. Y
2. 11
4. 14
6. 17
D. X. Y
2. -6
4. 6
6. 26
Answer:
ans is C................
Translate the sentence into an equation.
Nine times the sum of a number and 4 is 3.
Find the length of side xx in simplest radical form with a rational denominator.
Explanation:
For any 30-60-90 triangle, the hypotenuse is always twice as long compared to the short leg. The short leg is always opposite the 30 degree angle.
The length of x is 6.
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the perpendicular and the base.'
According to the given problem,
Perpendicular = 3
Hypotenuse = x
We know,
sin∅ = [tex]\frac{perpendicular}{hypotenuse}[/tex]
∅ = 30°
⇒ sin30 = [tex]\frac{3}{x}[/tex]
⇒ [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{x}[/tex] [ sin30 = [tex]\frac{1}{2}[/tex] ]
⇒ x = 3 * 2
⇒ x= 6
Hypotenuse = 6
Applying Pythagoras theorem:
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 6² = 3² + Base²
⇒ 6² - 3² = Base²
⇒ Base² = 25
⇒ Base = √25
⇒ Base = 5
Hence, we can conclude the value of x to be 6.
Learn more about right-angled triangle here:
https://brainly.com/question/3770177
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What is 120 US fl oz in US liquid quarts
3.75 quarts
Brainly plz and thank you
Lol do yu guys know this?? plz help
Answer: Choice C. 32,768
Explanation:
2.5 hours = 2.5*60 = 150 minutes
150/10 = 15
There are 15 periods that are 10 minutes each in a 2.5 hour timespan.
y = a*b^x
y = 1*2^15
y = 32,768
If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.