Answer:
54
Step-by-step explanation:
126+x=180
x=180-126=54
x=54
Graph the integer 3 and its opposite on a number line.
Please help me solve this problem I’m really struggling
Answer:
x × 3 + 5[tex]x^{2}[/tex] - x- 5
reorder the terms
3x + 5[tex]x^{2}[/tex] - x - 5
collect like terms
2x + 5[tex]x^{2}[/tex] - 5
reorder the terms
Solution
5[tex]x^{2}[/tex] + 2x -5
Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)(x - 1) \\ \\ (x + 5)( {x}^{2} - {1}^{2} ) \\ (x + 5)(x - 1)(x + 1) \\ [/tex]
Solve for x: 6sin^2x+2sin^2x=1 fir - 90<x<90
Answer:
Here we have the equation:
6*sin²(x) + 2*sin²(x) = 1
and we want to find a solution in the range:
-90° < x < 90°
First, we can take the sin²(x) as a common factor to get:
6*sin²(x) + 2*sin²(x) = (6 + 2)*sin²(x) = 1
8*sin²(x) = 1
now we can divide both sides by 8
sin²(x) = 1/8
now we can apply the square root to both sides:
√(sin²(x) = √(1/8)
sin(x) = √(1/8)
Now remember the inverse sine function, Asin(x)
such that:
Asin( sin(x) ) = sin( Asin(x) ) = x
If we apply that to both sides, we get:
Asin( sin(x) ) = Asin(√(1/8))
x = Asin(√(1/8)) = 20.7°
x = 20.7°
2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the line whose equation is y = 2x + 5. Y =
Answer: y = 2x+22
========================================================
Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Graph: Y - 3 = 1/2 (x+2)
Answer:
see graph
Step-by-step explanation:
Personally I put into slope intercept form before graphing
y - 3 = 1/2 (x+2)
y -3 = 1/2x + 1
y = 1/2x + 4
4 is y-intercept
1/2 is slope. [tex]\frac{Rise= 1}{Run= 2}[/tex]
What are the minimum and maximum distances that Morgan’s dog may be from the house? (Algebra ll) *URGENT*
Given:
The minimum and maximum distance that the dog may be from the house can be found by using the equation:
[tex]|x-500|=8[/tex]
To find:
The minimum and maximum distance that the dog may be from the house.
Solution:
We have,
[tex]|x-500|=8[/tex]
It can be written as:
[tex]x-500=\pm 8[/tex]
Adding 500 on both sides, we get
[tex]x=500\pm 8[/tex]
Now,
[tex]x=500+8[/tex] and [tex]x=500-8[/tex]
[tex]x=508[/tex] and [tex]x=492[/tex]
The minimum distance is 492 meters and the maximum distance is 508 meters.
Therefore, the correct option is C.
Translate this sentence into an equation. 144 is the product of Diego's age and 9.
Step-by-step explanation:
Represent Diego's age by d. Then 9d=144.
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg?
Answer:
D) 1:1
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
- 4x2 + 2x - 5(1 + x)
What expression is equivalent to the given expression?
Answer:
4x² + 3x + 5
Step-by-step explanation:
Given:
- 4x² + 2x - 5(1 + x)
Open parenthesis
= - 4x² + 2x - 5 - 5x
= - 4x² + 2x - 5x - 5
= - 4x² - 3x - 5
Multiply through by -1
= - 1( - 4x² - 3x - 5)
= 4x² + 3x + 5
Write
4 in the first box
3 in the second box
5 in the third box
NUESTRA SENORA DEL ROSARIO
5. ¿Cuántos elementos tiene el espacio muestral? -36 Combone
6. ¿Cuál es la probabilidad de obtener al menos dos pilas de-
fectuosas?
7. ¿Cuál es la probabilidad de obtener a los sumo dos pilas
buenas?
8. ¿Cuál es la probabilidad de obtener una pila defectuosa?
9. ¿Cuál es la probabilidad de que las pilas sean defectuosas?
please answer asap ------------------ ------------------ ------------------ ------------------
Answer:
Answer :
It's 3v - 9/2
Step-by-step explanation:
....
−5y+3x=3
−8y+9x=−12
What is X and Y please.
Answer:
( -4, -3 )
Step-by-step explanation:
Let's solve by elimination. Reason being there are no variables without coefficients.
−5y+3x=3 Multiply equation by 3. Each term.
−8y+9x=−12
-15y + 9x = 9 Subtract the to equations
-8y + 9x = -12
___________
-7y = 21
y = -3
Substitute y into original equation
-5(-3) + 3x = 3
15 + 3x = 3 Subtract 15 both sides
3x = -12 Divide by 3, both sides
x = -4
Answer:
y=-3
x=-4
Check:
-5(-3)+3(-4) =3
15-12=3
3=3 ✅
-8(-3)+9(-4)=-12
24-36=-12
-12=-12✅
Which graph shows the solution to the system of linear inequalities?
y>2/3x+3
y-<-1/3x+2
Given:
The inequalities are:
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
To find:
The graph for the given system of inequities.
Solution:
We have,
[tex]y>\dfrac{2}{3}x+3[/tex]
[tex]y\leq -\dfrac{1}{3}x+2[/tex]
The related equations are:
[tex]y=\dfrac{2}{3}x+3[/tex]
[tex]y=-\dfrac{1}{3}x+2[/tex]
Table of values
x [tex]y=\dfrac{2}{3}x+3[/tex] [tex]y=-\dfrac{1}{3}x+2[/tex]
0 3 2
3 5 1
Plot the points (0,3) and (3,5) and connect them by a straight line to get the boundary line [tex]y=\dfrac{2}{3}x+3[/tex].
Plot the points (0,2) and (3,1) and connect them by a straight line to get the boundary line [tex]y=-\dfrac{1}{3}x+2[/tex].
In [tex]y>\dfrac{2}{3}x+3[/tex], the sign of inequality is ">" it means the boundary line is a dashed line and shaded area lies above the boundary line.
[tex]y\leq -\dfrac{1}{3}x+2[/tex], the sign of inequality is "[tex]\leq [/tex]" it means the boundary line is a solid line and shaded area lies below the boundary line.
Therefore, the required graph is shown below.
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
Why does it say your phone is being attacked and then said something with 26 when I go on a website is it lying or do I have a virus?
Answer:
If you go to a website that has a red (or orange) triangle with an exclamation mark next to the link, it's an untrusted site. The things you list (your phone is being attacked and then said something with 26..) are likely to be scam ads (probably viruses). Therefore, I do not recommend you to click the ads or enter that site again.
can you help me do this Question if you can?
Answer:
A
Step-by-step explanation:
A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters. What is the area of each section of the circle
Answer:
The area of each section of the circle is 25\pi\ m^{2}25π m2
Step-by-step explanation:
we know that
The area of a circle is equal to
A=\pi r^{2}A=πr2
we have
r=10\ mr=10 m
substitute
A=\pi (10^{2})=100\pi\ m^{2}A=π(102)=100π m2
To find the area of each section divide the complete area of the circle by 44
so
100\pi\ m^{2}/4=25\pi\ m^{2}100π m2/4=25π m2
all in picture. math
PLZ HELP its due soon!!!
Answer:
E)
Step-by-step explanation:
1) 6.50 (starting with his current wage)
2) 6.50 + 0.25 = 6.75 $
3) 6.75 + 0.25 = 7.00 $
4) 7.00 + 0.25 = 7.25 $
5) 7.25 + 0.25 = 7.50 $
6) 7.50 + 0.25 = 7.75 $
find the vertex, focus and equation of the directrix for the conic given by (x + 1)^2 = -20(y - 3).
sketch a graph of this conic
Hello,
The conic is a parabola ,
vertex (-1,3)
focus : (-1,-2)
directrix: y=8
equation: y= - 1/20x²-1/10*x+59/20
solution in picture
The vertex is v(-1,3) , focus is f(-1,8) and the equation of directrix is y = -2.
What is a parabola?A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line. The equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix (x + a = 0).
For the given situation,
The standard form of equation of parabola is given by, [tex]y=\frac{1}{4p}(x-h)^{2}+k[/tex]
The vertex is given by [tex]v(h,k)[/tex]
The focus is given by [tex]f(h,k-p)[/tex]
The equation of directrix is given by [tex]y=k+p[/tex]
The given equation is [tex](x+1)^{2} =-20(y-3)[/tex]
On rearranging the given equation in standard form,
⇒ [tex](x+1)^{2} =-20y+60[/tex]
⇒ [tex](x+1)^{2} -60=-20y[/tex]
Divide by 20 on both sides,
⇒ [tex]\frac{(x+1)^{2}}{20} +4 = y[/tex]
⇒ [tex]y=\frac{-1}{(4)(5)} (x+1)^{2} +3[/tex]
On comparing the above equation with the standard form,we get
[tex]p=-5, h=-1, k=3[/tex]
⇒ [tex]k-p=3-(-5)\ =8[/tex]
Hence we can conclude that the vertex is v(-1,3), focus is f(-1,8) and equation of directrix is y=-2.
Learn more about a parabola here
https://brainly.com/question/7492359
#SPJ2
help please what is the median
Answer:
The median is 9
Step-by-step explanation:
The median is the number in the middle. The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.
Thank you for the help!
Answer:
see explanation
Step-by-step explanation:
cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{8}{17}[/tex]
sinM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{LN}{LM}[/tex] = [tex]\frac{15}{17}[/tex]
tanM = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{LN}{MN}[/tex] = [tex]\frac{15}{8}[/tex]
Which option correctly shows one row of a stem-and-leaf plot that displays this data set? 24,35,10,32,19,26,24,30,17,19,20,35
Answer:
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Step-by-step explanation:
Given the ordered version of the data:
10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35
. The stem is the tens digit and leaf is the unit digit of each data.
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Since there isn't any option given, then the row could be any of row values above.
My teacher keeps saying it’s wrong pls help, it’s question number 5
Which is an irrational number?
9514 1404 393
Answer:
A √2 is an irrational number
Step-by-step explanation:
A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)
B: √4 = 2 (rational)
C: ∛8 = 2 (rational)
D: √16 = 4 (rational)
Does anyone know how to solve these?
Answer:
1st graph: slope is -1 and equation is y=-x+5
2nd graph: slope is 2/5 and equation is y=2/5x-3
Step-by-step explanation:
y=mx+b is slope-intercept form.
It's call that because this forn tells us the slope,m, and the y-intercept,b.
The first graph you have identified b as 5 since you said the y-intercept was (0,5).
Now we just find slope by finding rise/run.
(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.
The equation for first graph is y=-1x+5 or y=-x+5.
So again you have no problem identifying the y-intercept which is b=-3.
Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.
Can someone help me with this math homework please!
Answer:
14
Step-by-step explanation:
7h-5(3h-8)=-72
or, 7h-15h+40=-72
or, 40+72=15h-7h
or, 112=8h
or, h=112/8
therefore,h=14
Answer:
Step-by-step explanation:
EXERCISE NA Amarutactures 1200 scooters in 18 days. How many scooters does mane in 1 day
Answer:
66
Step-by-step explanation:
he uses 66 in one day
By rounding to 1 significant figure, estimate
7.57X3.81
Answer:
29
Step-by-step explanation:
7.57×3.81
round up to one decimal point=7.5×3.8
7.5×3.8 = 28.5
28.8 rounded up to 29
which expression is equal to sin w
Answer:
A. Cos S
Step-by-step explanation:
Recall: SOH CAH TOA
Sin W = Opp/Hyp
Opposite = 4
Hypotenuse = 5
Sin W = 4/5
Let's find the ratio for each option given to determine which gives us the same ratio as Sin W.
Option A: Cos S
Cos S = Adj/Hyp = 4/5
Option B: tan W
Tan W = Opp/Adj = 4/3
Option C: cos W
Cos W = Adj/Hyp = 3/5
Option D: sin S
Sin S = Opp/Hyp = 3/5
✔️Thus, sin W = cos S = 4/5
The correct option is A
Estimate the answers to the following calculations by carrying out order of magnitude calculations.
a) 0.26 x 890
b) [tex]\frac{1.95}{0.0067}[/tex]
c) 2010 x [tex]10^{-5}[/tex]
d) [tex]\frac{9.98 x 10^{-4} }{9 x 10^{2} }[/tex]
9514 1404 393
Answer:
a) 230
b) 300
c) 2×10^-2
d) 1.1×10^-6
Step-by-step explanation:
a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230
b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300
c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2
d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6
__
YMMV depending on how you do the rounding and approximate multiplication and division.
The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)