P(-3,-7) and Q(3,-5) find the coordinates of the midpoint of the segment given its endpoints.
Simplify the expression and write the result in standard form, a+bi. Write all numbers as integers or simplified fractions.
-14 + √-125 / 10
Answer:
[tex] - 14 + \sqrt{ \frac{ - 5 \times 5 \times 5}{10} } [/tex]
[tex] - 14 + 5 \sqrt{ \frac{ - 1}{2} } [/tex]
[tex] - 14 + \frac{5 \sqrt{ - 1} }{ \sqrt{2} } [/tex]
[tex] - 14 + \frac{5i}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] - 14 + \sqrt{ \frac{ - 125}{10} } \\ - 14 + \frac{5 \sqrt{5} i}{ \sqrt{10} } \\ = - 14 + \frac{5i}{ \sqrt{2} } \\ = - 14 + \frac{5i \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ - 12 + \frac{5 \sqrt{2}i }{2} \\ thank \: you[/tex]
Point M is on line segment \overline{LN} LN . Given LN=17LN=17 and MN=3,MN=3, determine the length \overline{LM}. LM .
Answer:
14
Step-by-step explanation:
the full length of the line is 17, half of it is 3.
subtract line LN from MN to get LM.
17-3=14
Answer:
LN=4
Step-by-step explanation:
to the nearest tenth cm^3 what is the volume of a sphere with a length of 2.40 cm a width of 2.40 cm and a height of 2.40 cm
Hi :)
The volume of a sphere is
V = 4/3 (pi) r^3
Supposing "length" as diameter
We can take the radius
2.40/2
1.2 is the radius of the sphere.
Inserting the radius into the formula
V = 4/3 (pi) 1.2^3
The volume is aproximately 7.24cm^3
True or false: (√2 + √3)^2 = 2 + 3 = 5
Explain:
Hi! I'm happy to help!
A square root, means:
√x=y
This means that:
x=y·y=√x·√x
When we have the square button, it causes everything to be multiplied by itself once.
√x²=x
Due to the fact that the squared symbol is outside of the parenthesis, it causes both the square toot of 2, and the square root of 3, to be squared.
Now that we know this, √2², and √3²= 2, and 3.
This is why we get 2+3.
2+3=5, which is pretty self explanatory.
I hope this was helpful, keep learning! :D
Determine whether each equation is always, sometimes, or never true.
2x + 7 - x = 3 + x + 4
Always
Sometimes
Never
Empty Set
I said never but I want see if thats right
Help me I need to solve for z
Answer:
z = 8
Step-by-step explanation:
4z - 15 = z - 3 + z + 4
4z - 15 = 2z + 1
1. Solve for z
4z - 15 = 2z + 1
2z - 15 = 1
1 + 15 = 16 / 2 = 8
What is the smallest integer that is above square root of 14?
Answer:
3.742 pls mark me branilest pls
Angle 0 is in standard position. if sin(0) = -1/3, < 0 < 3/2 , find cos (0).
Answer:
-2 sqrt (2) /3
Step-by-step explanation:
sin = -1/3 its in the 3rd quadrant so sin is negative cos is negative
sin^2 O + cos ^2 O = 1
1 - (1/9) = cos^2 O
[tex] \cos( \alpha ) = \frac{ - 2 \sqrt{2} }{3} [/tex]
−6−(−2)minus, 6, minus, left parenthesis, minus, 2, right parenthesis
Answer: -4
Step-by-step explanation:
Start with -6, since there is nothing to solve in the parenthesis.
Subtract -2 from -6, which will get you -4.
Solve the following using substitution
Y = 2X - 3
4X -3Y = 31
Answer:
Step-by-step explanation:
Find the value of AB.
Answer:
6
Step-by-step explanation:
We can look that AB=BC=CD=18/3=6
So, AB = 6
Answer:
Step-by-step explanation:
6....
Write an equation for the following real life scenario.
Use "h" to represent your variable.
Diane worked to earn $48.50 babysitting her neighbors, she earns $6.00 per hour.
I don't understand the question
Which statement is true about the two lines whose equations are given below?
y = 1/4x + 2
y = -4x + 9
A.The lines are parallel.
B.The lines are perpendicular.
C.
The lines intersect but are not perpendicular.
D
The lines coincide.
NEED HELP ASAP PLEASE!
Answer:
terms: 4mn, m, and 5
Constant is 5
Step-by-step explanation:
The constant is any number without a variable.
Terms can be a single number, variable alone or variable with a number.
186 div by 20 because i am lost
Answer:
9.3
Step-by-step explanation:
186/20 = 18.6/2 = 9.3
[tex]Hello[/tex] [tex]There![/tex]
The answer is...
[tex]\frac{93}{10}.[/tex]
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
Is 59,970,494 divisible by 2?
Answer:
yes
Step-by-step explanation:
all numbers which end with an even number are divisible by 2 like this number ends with 4 which is an even number so it is divisible by 2
The diagram shows a rectangle ABCD. The point A is (2, 14), B is (−2, 8) and C lies on the x-axis. Find
(i) the equation of BC,
(ii) find coordinates of C and D
Answer:
Step-by-step explanation:
since AB and BC are perpendicular so AB.BC=0, (scalar product)
AB=(-4, -6), and BC=(xc+2, yc-8)
AB.BC= -4x-8-6y+48 =0
so the equation of BC is 2x+3y-20=0
C is on the line BC, so 2xc+3yc-20=0, but yc=0, so xc=20/2=10
AB and CD are parallel, so det(AB, CD)=0
AB and AD are perpendicular so AB.AD=0
AB=(-4, -6) and CD =(x-10, y), AD= (x-2, y-14)
det(AB, CD)=0
x-10-y = 0 equivalent to x-y = -10
AB.AD=0
-4x+8-6y+84=0 equivalent to 2x+3y=44
let's solve
x-y = -10
2x+3y=44
-5y = -64, y = 64/5, x= -10+64/5=14/5
finally D(14/5, 64/5)
PLEASE HELP!!! give an explanation if you can
the base of a triangle is 13cm and its height is 5cm. what is the area of the triangle
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
At $1.47 per gallon of gas, what is the cost of 15 gallons?
(A) $2.25
(B) $22.50
(C) $22.05
(D) $2,205
(E) $220.50
Answer:
$22.05 (c)
Step-by-step explanation:
$1.47 * 15 gallons = $22.05
Answer:
C) 22.05
Step-by-step explanation:
The answer is 22.05 because if you multiply 1.47 by 15, it equals 22.05.
Hope this helped you, have a nice rest of the day!
|x-3|<2
|4x+1|>0
|x-1|<5
Ayudaaaaaaa pleaseeeee
Recuerda que
• |x| = x si x ≥ 0
• |x| = -x si x < 0
Necesitas considerar dos casos:
• si x - 3 ≥ 0,
|x - 3| < 1 ⇒ x - 3 < 1 ⇒ x < 4
• si x - 3 < 0,
|x - 3| < 1 ⇒ -(x - 3) = 3 - x < 1 ⇒ -x < -2 ⇒ x > 2
Entonces la solución consta de todos los números reales x tales que x > 2 y x < 4, o simplemente 2 < x < 4.
El método para resolver las otras desigualdades es el mismo.
|4x + 1| > 0 ⇒ 4x + 1 > 0 o -(4x + 1) > 0
… ⇒ 4x + 1 > 0 o -4x - 1 > 0
… ⇒ 4x > -1 o -4x > 1
… ⇒ x > -1/4 o x < -1/4
⇒ x ≠ -1/4
|x - 1| < 5 ⇒ x - 1 < 5 o -(x - 1) < 5
… ⇒ x - 1 < 5 o -x + 1 < 5
… ⇒ x < 6 o -x < 4
… ⇒ x < 6 o x > -4
⇒ -4 < x < 6
-15=5(3q-10)-5q
Solve the equation
Answer:
q = 3.5
Step-by-step explanation:
Start by distributing the 5
-15 = 15q - 50 - 5q
Combine like terms
-15 = 10q - 50
Add 50 to both sides
35 = 10q
Divide by 10 to isolate q
35/10 = q
q = 3.5
Answer:
q=3.5 or 4
Step-by-step explanation:
-15=5(3q-10)-5q
-5=15q-50-5q
-15+50=15q-5q
35=10q
Divide both sides by 10.
35÷10=10q÷10
3.5=q
Therefore,q= 3.5
Round up=4
.
Simplify completely:
4V10 – V6 +3710
Show all work for full credit.
What is the slope of the line that passes through the points (7,9) and (15,-29)
Answer:
-4.75
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
So applying the formula
(-29-9)/(15-7)
= -38/8 = -4.75
give 2/2 examples of finite,infiniteand empty sets
Answer:
[tex]finite \: set \: \\ 1) set \: of \: one \: digit \: whole \: number \\2) set \: of \: number \: of \: players \: in \: a \: cricket \: team \\ infinite \: set \\ 1)set \: of \: all \: whole \: numbers \\ 2) \: set \: o f \: all \: ponts \: in \: a \: line \\ empty \: set \\ 1)set \: of \: whole \: numbers \: between \: 1 \: and \: 2 \\ 2)set \: of \: prime \: numbers \: between \: 3\: and \: 5 \\ thank \: you[/tex]
Order the numbers from least to greatest -5, 18, 0, -18, 9, -15
Answer:
below
Step-by-step explanation:
this is very simple one I don't study mathematics but also know this
-18<-15<-5<0<9<18
Gonna post this one last time in hope that someone helps and explains this to me lol.
Answer: Y = 3500, X = 16
Step-by-step explanation:
Your maximum Y-value is 3000, or, the price of your car, so that could be the answer that's being looked for. However, it's always a good idea to leave a little extra space on the end of the graph so that you can show that your line ends instead of continuing onwards.
Your maximum X-value is 15, or, the number of months it would take to pay off the car (200 dollars per month, until you reach 3000 dollars), but again, it's always smart to leave a little buffer space so that you can see that the graph actually ends.
The answer your teacher wants is probably that the maximum Y-value should be 3000 and the maximum X-value should be 15, but if you have to actually graph this equation yourself and want it to be understood that your graph is a line segment and not a line (the difference being that a line is infinite and a line segment has two ends), you will want to show that by not ending the graph at the same spot as the line segment and instead extending it a little further.
The graph of y=f(x) is graphed below. What is the end behavior of f(x)?
Answer:
The first choice
Step-by-step explanation:
7(2- 6x) = -196 I having trouble understanding this problem.
Answer:
x = 5
Step-by-step explanation:
7(2 - 6x) = -196
14 - 42x = -196
14 - 42x - 14 = -196 - 14
-42x = -210
-42x/-42 = -210/-42
x = 5
Answer:
5
Step-by-step explanation:
7(2 - 6x) = -196 Remove the brackets
7*2 - 7*6x = - 196
14 - 42x = - 195 Subtract 14 from both sides
-42x = - 196 - 14
-42x = - 210 Divide by 42
x = - 210 / - 42
x = 5