Answer:
third option
(-3,3)
Step-by-step explanation:
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A, B, C, D are points on a line, with D the midpoint of segment BC. The
lengths of segment AB is 10; segment AC is 2; and segment BC is 12. What
is the length of segment AD?
Answer:
Also BC = 12
B......6......D......6......C
Now, AC = 2.
A can be either left of C or right of C
If A is left of C , AB = 12-2 = 10 (Correct)
If A is right of C AB = 12 +2 = 14 (Incorrect)
So the points placing is as below
B......6......D....4....A..2..C
Length of segment AD = 4
PLEASE HELP ME!!!!! Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5. No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction. Yes, StartFraction 0.5 Over 1 EndFraction = StartFraction 0.5 Over 1 EndFraction. Yes, One-half = StartFraction 0.5 Over 1 EndFraction. Yes, StartFraction 1.5 Over 1 EndFraction = StartFraction 2 Over 1.5 EndFraction.
Answer:
No. The ratios are differentStep-by-step explanation:
ΔXYZ
XY = 1.5, XZ = 1, ZY = 2Δ QSR
QR =1, RS = 1.5, SQ = 0.5Ratios:
XY/SQ = 1.5/0.5XZ/QR = 1/1 ZY/RS = 2/1.5The answer is no, because ratios are different
Correct choice is A
Answer:
it is A (OoO)
Step-by-step explanation:
What is the remainder if f(x) = x^4- 5x2 - 6x - 10 is divided by x - 3?
A. 8
B. 44
C. -46
D. 224
Answer:
A) 8
Step-by-step explanation:
The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.
What is factor theorem?Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) ≠ 0 then x - a is not a factor of f(x).
To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).
∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.
f(3) = (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.
f(3) = 81 + 0 - 45 - 18.
f(3) = 18.
So, the remainder is 18.
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Find the length of the third side. If necessary, write in simplest radical form. (15 POINTS!!)
Answer:
4
Step-by-step explanation:
perpendicular (p) = 4
hypotenuse (h) = 2√5
base (b) = ?
We know by using Pythagoras theorem
b = √(h² - p²)
= √ (2√5)² - 4²
= √ 16
= 4
Z varies jointly with x, and y, and z=7 when x= 2, y= 2
pleasee I need an answer now!!
Answer:
(7/4)(2)(2)=7
Step-by-step explanation:
Answer:
z = 1.75xy
Step-by-step explanation:
Given z varies jointly as x and y then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition z = 7 when x = 2 and y = 2, then
7 = k × 2 × 2 = 4k ( divide both sides by 4 )
1.75 = k
z = 1.75xy ← equation of variation
3(x + 4) + 3x = -6 solve x
Answer:
x = -3
Step-by-step explanation:
3(x + 4) + 3x = -6
3x + 12 + 3x = -6
6x + 12 = -6
6x = -18
x = -3
Answer:
x=-3
Step-by-step explanation:
3x+12+3x=-6
6x+12=-6
-12 -12
6x=-18
6 6
x=-3
Which number is NOT in the solution set of the inequality x>-15?
A) 10)
B) -5
C) -10
D) -20
Answer:
d
Step-by-step explanation:
if x has to be greater than -15 and -20 = x than its not true because -20 isn't greater than -15
Answer:
yes its d because -15 is not greater than -20
find area of triangle
3 + 2 x 4 =
What is it?
PLEASE HELP ME!
Answer:
the answer is 11 because in a question like this you multiply first before anything, so 2x4 is 8 and then you have to add 8 by 3, which that equals to 11.
In the arithmetic sequence {13, 6,-1,-8,...}, what is the common difference?
Enter your answer as a number, like this: 42
════════ ∘◦❁◦∘ ════════
Answer = -7════════════════════
Knowna = 13
U2 = 6
U3 = -1
U4 = -8
════════════════════
Questiond = ..?
════════════════════
Way to do#since it gives a lot of number, i will just pick one of the nth term, ill choose U2
Un = a + (n-1)d
U2 = 13 + (2-1)d
6 = 13 + d
6 - 13 = d
d = -7
════════════════════
Note• The formula of arithmetic sequence
Un = a + (n-1)dn = nth term
a = first term
d = common difference
════════════════════
The coordinates of one endpoint of a line segment are (4, −12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coordinate pairs in the box using a comma to separate each pair. For example: (0, 0), (1, 1), (2, 2), (3, 3)
Answer:
Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).
Step-by-step explanation:
One endpoint of (4,-12), length of 5 units.
Four possible pairs:
Add 5 to x, keep y: (4+5,-12) = (9,-12).
Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).
Keep x, add 5 to y: (4,-12+5) = (4,-7)
Keep x, subtract 5 from y: (4,-12-5) = (4,-17)
Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).
Question 1(Multiple Choice Worth 1 points)
(04.06 LC)
Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2
A.(2, −5)
B.(−2, 5)
C.(2, 5)
D.(−2, −5)
Answer:
C
Step-by-step explanation:
It’s convenient that there are only two x values you need to check, -2 and 2. Just insert it to see what y is appropriate.
x = -2: y > 6 + 3 = 9 (and y > -2 + 2 = 0 which is redundant here)
x = 2: y > 2 + 2 = 4 (and y > -6 + 3 = -3 which is redundant here)
So, neither B nor D is in the solution set with 5 < 9 and -5 < 9.
A isn’t in the solution set either with -5 < 4.
C is in the solution set with 5 > 4.
Answer:
c
Step-by-step explanation:
A periodic wave with wavelength f= 30 Hz has speed v= 150 m/s. What is the wave's wavelength?
Answer:
The wave's wavelength λ = 5 m
Step-by-step explanation:
Explanation:-
Given that the frequency f = 30HZ
Given that the velocity
'v ' = 150m/s
The wave's wavelength
[tex]= \frac{velocity}{frequency} = \frac{150}{30} = 5[/tex]
The wave's wavelength λ = 5 m
A cell phone is originally priced at $120.The online retailer gives a discount and the cell phone is now priced at $90.enter the percentage discount for the cost of the cell phone.
Answer:
25% off
Step-by-step explanation:
First, find 90/120, which is 0.75. Now, since the phone is not 75% off, you just find 100-75, which gives you 25%.
Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
$ ___
Answer:
$3.90
The cost of making them all is 1.50 subtracted from the profit he made
PLEASE HELP ME ASAP ?!?!?
Find the missing side lengths.
Leave your answers as radicals in simplest form.
Answer:
m = 5 n = [tex]\frac{5\sqrt{3} }{2}[/tex]
Step-by-step explanation:
5/2x2=5
5/3xsqrt3=5sqrt3/2
In a laboratory, they were testing a certain bacteria. They stated with 50 bacteria and they noticed it triples every 30 minutes. Write an equation to represent the situation. How many will exist after 2 hour?
A line passes through the points (1, 4) and (0, 0). What is its equation in slope-intercept form?
Answer:
y=4x
Step-by-step explanation:
If a third plane could be drawn which contains both lines a and b, then lines a and b must be parallel. lines a and b cannot be parallel. lines a and b must be skew. lines a and b must be perpendicular.
Answer:
Yes a third plane can be drawn which contains parallel lines.
Step-by-step explanation:
There are two points:
1) a third plane can cab drawn which can have two line parallel as shown in the figure 1.
2) If plane A has a line and plane B has a line such that they are parallel to each other than the third plane cannot be drawn which contains both lines and b parallel.
A third plane can have only two lines parallel if they are not parallel in the in the other two planes.
We see that lines c and d parallel in the third plane are perpendicular in the planes A an d B.
Answer:
A lines a and b must be parallel.
Step-by-step explanation:
A, B and D are points on the circumference of a circle, centre O.
BOD is a diameter of the circle.
BC and AC are tangents to the circle.
Angle OCB =34.
Work out the size of angle DOA.
Answer:
Step-by-step explanation:
A tangent makes a 90° angle to the circle.
∠BOC = 180°-90°-34° = 56°
△AOC is congruent to △BOC, so ∠AOC = 56°
∠DOA = 180°-56°-56° = 68°
The size of the angle DOA is 68°
What is the tangent of the circle?"It is the line which intersects the circle exactly at one point."
For given example,
BC and AC are tangents to the circle.
∠OCB = 34°
As, OC is the angle bisector for ∠ACB
⇒ ∠OCB = ∠OCA
⇒ ∠OCA = 34°
⇒ ∠ACB = ∠OCB + ∠OCA
⇒ ∠ACB = 34° + 34°
⇒ ∠ACB = 68°
We know, the tangent to a circle is perpendicular to the radius of the circle.
⇒ CB ⊥ OB
⇒ ∠OBC = 90°
and CA ⊥ OA
⇒ ∠OAC = 90°
We know, the sum of all angles of quadrilateral is 360°.
For quadrilateral ACBO,
⇒ ∠OAC + ∠ACB + ∠OBC + ∠BOA = 360°
⇒ 90° + 68° + 90° + ∠BOA = 360°
⇒ ∠BOA = 112°
We know, the angle subtended by semicircle is 180°.
⇒ ∠AOB + ∠DOA = 180°
⇒ 112° + ∠DOA = 180°
⇒ ∠DOA = 68°
Therefore, the size of the angle DOA is 68°
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URGENT. The cover of a science textbook has a width of (x-2) and a length of (x^2 -5x+4) inches. Find the area of the cover of the science textbook.
I don’t now if u can see it very well but could anyone help me with this
Answer:
A and c
Step-by-step explanation:
If im correct A and C is the answer because A and C represent the vertical angles :)
PLEASE HELP!!!
Simplify:
1) -sqrt(-9y^2) if y < 0
2) 3sqrt(c^2) if c is greater then or equal to 0
3) -5sqrt(4x^2) if x is greater than or equal to 0
4) -5sqrt(y^2) if y > 0
5) 0.5sqrt(16a^2) if a < 0
All the solutions of the expressions are,
1) 3yi
2) 3c
3) - 10x
4) - 5y
5) - 2a
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We can solve as;
1) - √- 9y² , if y < 0
⇒ - √ - 9y²
⇒ - √- 1 × 3 × 3 × - y × - y
⇒ 3yi
2) 3√c², if c ≥ 0
⇒ 3 √c²
⇒ 3√c × c
⇒ 3c
3) - 5√4x², if x ≥ 0
⇒ - 5 √4x²
⇒ - 5 √(2x)²
⇒ - 5 × 2x
⇒ - 10x
4) - 5√y², if y > 0
⇒ - 5 √y²
⇒ - 5y
5) 0.5 √16a², if a < 0
⇒ 0.5 √(4a)²
⇒ 0.5 × -4a
⇒ - 2a
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answer this algebra question x/12 - 5 = 7
Answer:
x=144
Step-by-step explanation:
x/12-5=7
x-60=84
x=84+60
x=144
Plz plz plz I need help
a) find area
a = l • w
a = 17.8 • 10.6
a = 188.68 m²
//
b) find the area of the vegetable garden and then multiply by the cost
a = l • w
a = 49 • 15.2
a = 744.8 m²
total cost = 744.8 • 91
total cost = 67776.8
//
c) find perimeter
p = 2(l) + 2(w)
p = 2(18.7) + 2(12.6)
p = 62.6 m
//
d) find area then divide by 1.25
a = l • w
a = 20 • 15.7
a = 314 m²
314/1.25 = 251.2
251.2 banana trees
//
Just double check to make sure my calculations are correct.
35 of the apartments have a balcony and 55 of them don't. An apartment is randomly selected as part of a survey. What is the probability it has a balcony?
Answer:
39%
Step-by-step explanation:
It is given that 35 apartments have balconies in them.
While 55 apartments do not have balconies in them.
Total number of balconies is the sum of the apartments. i.e. 35 + 55
= 90 apartments
Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.
i.e.
[tex]$=\frac{35}{90}$[/tex]
= 0.38888888
Multiplying by 100, we get
= 0.388888 x 100
= 38.8888 %
= 39 %
Help please not too sure about this one?
Answer:
y=-5x+0
Step-by-step explanation:
If it passes through the origin that means the Y-Intercept is 0
Create a data set describing two variables, with at least five data points, that has an equation for the line of best fit of y = 2x + 25. Show all your work for full credit.
Answer:
X = 2, 4, 6, 7, 9
Y = 29, 33, 37, 39, 43
Step-by-step explanation:
Given a best fit line of :
y = 2x + 25
Take points X as :
X = 2, 4, 6, 7, 9
X = 2
y = 2(2) + 25 = 4 + 25 = 29
X = 4
y = 2(4) + 25 = 8 + 25 = 33
X = 6
y = 2(6) + 25 = 12 + 25 = 37
X = 7
y = 2(7) + 25 = 14 + 25 = 39
X = 9
y = 2(9) + 25 = 18 + 25 = 43
I need help solving for X and Y
Answer:
y = 4 ; x = 4√2
Step-by-step explanation:
This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.
Solve by the substitution method
2x + 9y=41
- 4x + y=13
Answer:
x=-2, y=5. (-2, 5).
Step-by-step explanation:
2x+9y=41
-4x+y=13
---------------
2(2x+9y)=2(41)
-4x+y=13
-----------------------
4x+18y=82
-4x+y=13
------------------
19y=95
y=95/19
y=5
2x+9(5)=41
2x+45=41
2x=41-45
2x=-4
x=-4/2=-2