Determine the value of y, if x is 2
Y=x^2+5
Answer:
y = 9
Step-by-step explanation:
y = (2)^2 + 5
y = 4 + 5
y = 9
!20 PTS!
Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). EXPLAIN IN STEPS.
Find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8). EXPLAIN IN STEPS.
For both problems, we can use the section formula.
1) [tex]Z=\left(\frac{(2)(7)+(1)(1)}{3}, \frac{((2)(5)+(1)(2)}{3} \right)=\boxed{(5, 4)}[/tex]
2) [tex]P=\left(\frac{(1)(1)+(5)(-9)}{6}, \frac{(1)(8)+(5)(3)}{6} \right)=\boxed{\left(-\frac{22}{3}, \frac{23}{6} \right)}[/tex]
if yassy got score of 9, what is her rank?
answer:
4nd rank
Step-by-step explanation:
I'm not sure btw.
In complete sentences, explain whether or not it makes sense to say that the density of helium is 0.1785 kilograms per square meter.
No, it does not make any sense to say that the density of helium is 0.1785 kilograms per square meter.
How to express the density of an element?
No, it does not make any sense to say that the density of helium is 0.1785 kilograms per square meter.
The reason why it doesn't make sense is because density of helium, and all the rest of the chemical elements are calculated as;
Density = mass/volume
where;
mass is measured in kilograms.
volume is measured in cubic meter.
Thus, the density of the helium should be expressed as 0.1785 kilograms per cubic meter.
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Image is attached
Find x and y of 2 similar polygons
Answer:
11
Step-by-step explanation:
10/15=6/x-2
then solve for x
x=11
Calculate the discriminant to determine the number of real roots of the quadratic equation y = x^2 + 3x - 10
Ono real roots
three real roots
two real roots
one real root
The given quadratic equation [tex]y = x^2 + 3x - 10[/tex] Hence, the correct option is D one real root.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity [tex]b^2 - 4ac[/tex] is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
The given quadratic equation
[tex]y = x^2 + 3x - 10[/tex]
a = 1
b = 3
c = -10
The discriminant
[tex]b^2 - 4ac[/tex]
= 9 - 4(1)(-10)
= 9- 40
= - 31
Thus, Non-real and distinct roots if the discriminant is negative.
Hence, the correct option is D one real root.
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Please help me with this
Answer:
65.9 ft
Step-by-step explanation:
The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.
__
third angleThe sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...
angle C = 180° -75° -60° = 45°
ground distanceThen the distance between Amaya and Rochelle (c) is ...
c/sin(C) = r/sin(R)
c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)
c ≈ 65.8846
Amaya and Rochelle are about 65.9 feet apart.
A cast iron pipe used as a water main for a home has an outer diameter of 8 in. If the pipe has a thickness of 0.25 in, what volume of iron does 24 in of pipe contain? Answer in cubic inches.
When i double a number i get 16400 what is the number?
Answer:
the answer is 8200
Step-by-step explanation:
8200+8200=16400
Find the value of each variable. The dot represents the center of the circle.
Answer:
Step-by-step explanation:
By the inscribed angle theorem, [tex]a=21, b=42[/tex]
So, since angles in a triangle add to 180 degrees, the angle vertical to c is [tex]180-21-42=117[/tex], and thus [tex]c=117[/tex]
Sheryl makes $7 per pair of
earrings, e, and $13 per necklace,
n, she sells. What expression
represents her total income?
The expression T = 7e + 13n represents the total income of Sherly where e is the number of earrings she sells and n is the number of necklace she sells.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have:
Sheryl makes $7 per a pair of earrings, e, and $13 per necklace, n, she sells.
Let's suppose the total income of Sherly is T:
Then,
T = 7e + 13n
Here e is the number of earrings she sells and n is the number of necklace she sells.
T is the total income and the expression T = 7e + 13n represents the total income of Sherly.
Thus, the expression T = 7e + 13n represents the total income of Sherly where e is the number of earrings she sells and n is the number of necklace she sells.
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Prove that :
following
[tex](tan \: q \: + sec \: q) {}^{2} = \frac{1 + sin \: q \: }{1 - sin \: q \: } [/tex]
[tex]\text{L.H.S}\\\\=(\tan q + \sec q)^2\\\\\\=\left(\dfrac{\sin q}{ \cos q} + \dfrac 1{ \cos q} \right)^2\\\\\\=\left( \dfrac{1+ \sin q}{\cos q}\right)^2\\\\\\=\dfrac{(1+ \sin q)^2}{\cos^2 q}\\\\\\=\dfrac{(1+ \sin q)^2}{1-\sin^2 q}\\\\\\=\dfrac{(1 + \sin q)(1 + \sin q)}{(1+ \sin q)(1 - \sin q)}\\\\\\=\dfrac{1+ \sin q}{1- \sin q}\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
B
ED
E D
B
C
B
m
A
DE
Which rule describes the composition of
transformations that maps figure ABCDE to figure
A"B"CD"E"?
ORC.900 orm
OroRC.900
ORc1800 or
OroRC.1800
Answer: [tex]R_{C, 180^{\circ}} \circ r_{m}[/tex]
Step-by-step explanation:
The sequence is a reflection over line m followed by a rotation 180 degrees about point C.
Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Now, In the given figure ABCDE is transformed to figure A”B”C”D”E.
Hence, When a figure is reflected along a line the reflected image is at the same distance to the line as the original figure was.
The figure ABCDE is first reflected through the line m to get the figure A'B'C'D'E'.
When a figure is rotated by 180 degrees the x and y coordinates change its place and y sign is reversed.
A'B'C'D'E' is rotated by 180 degrees to come to figure A"B"C"D"E".
Hence, Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
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Prove that √2 is an irrational number and hence show that 3+5√3 is also irrational
Answer:
square rooted numbers like the square root of 2 are irrational because when calculated they don't equal a whole number.
Step-by-step explanation:
3+5√3 = 11.66 // not whole - irrational
√2 = 1.4 // not whole - irrational
√25 = 5 // whole - rational
X
2
3
4
A. (1, 2, 3, 4)
B. (2, 6, 10, 14)
C. (1,2)
D. (1, 2), (2, 6), (3, 10), (4, 14)
y
2
6
10
14
Answer:
B (2,6,10,14)
Step-by-step explanation:
I think C and D are imposible to be the answer.
A and B are 50% to be the answer.
But I choose B.
A support wire reaches from the top of a pole to a clamp on the ground. The pole is
perpendicular to the level ground and the clamp is 10 feet from the base of the pole. The
support wire makes a 68° angle with the ground. Find the length of the support wire to the
nearest foot.
The length of the support wire on the pole is 27 feet
How to determine the length of the support?The given parameters are:
Distance from the base, b = 10 feetAngle with the ground, x = 68 degreesThe length (L) of the support wire is then calculated using the following cosine function
cos(x) = b/L
This gives
cos(68) = 10/L
Make L the subject
L = 10/cos(68)
Evaluate
L = 27
Hence, the length of the support wire is 27 feet
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what is the probability that a month starting with a vowel is drown
Please help me with this math problem!! Will give brainliest!! :)
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°
(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°
4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°
Add like terms
33x + 30 = 360°
Subtract 30 from both sides
33x = 330°
x = 10
Answer:
10
Step-by-step explanation:
A quadrilateral is a four sideded figure with four angles and four vertices.we should note that the sum of angles of a quadrilateral is equal 360°
therefore,
(4x+23)+(16x+15)+(6x-5)+(7x-3)=360
30 +33x= 360
33x= 360-30
33x= 330
dividing through by 33
x= 330/33
x= 10
please help giving brainliest im begging lol ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
Answer:
see below
Step-by-step explanation:
I would use the sine function for the info given
in a right triangle sine = opp leg / hypotenuse
so sin 57 = 10.8/x
then x = 10.8 / sin 57 = 12.87
The soulution to 6+2x>32 is either x>13 or x<13. Which soulution is correct? Explain how you know - prove it with a number
Answer:
6+2x >32
2x>32-6
2x>26
divide both sides by 2
therefore, x>13
Step-by-step explanation:
this is because x don't has a negative sign or is on the other side
If AB is tangent to (circle)C at A, find BC.
The length of r if AB is tangent to circle C, forming a right triangle is 8 units.
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
From the diagram, using Pythagoras theorem:
BC² = AC² + AB²
17² = 15² + r²
r = 8 units
The length of r if AB is tangent to circle C, forming a right triangle is 8 units.
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Please help me with my math question
Answer:
<
Step-by-step explanation:
5.62x10^4=56200, 4.7x10^5=470000, so it is <.
The product of two irrational numbers is (sometime, always, never) rational.
sometimes
Step-by-step explanation:
irrational numbers are numbers that cannot be expressed as a quotient of 2 numbers
rational numbers are numbers that can be expressed as a fraction.
for example let's take these examples of iirational numbers:
[tex] \sqrt{2} \times \sqrt{2} = 2[/tex]
[tex]\pi \times \pi = 9.86960....[/tex]
the 1st product (2) can be written as a fraction but the second one cannot be written as a fraction
Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it
Answer:
2018 I believe.
Step-by-step explanation:
He'll be two times his age in 2032 which is 28 years old. Subtract 28 from 2032 and you get 2018.
Answer:
2018
Step-by-step explanation:
in 2032 he will be 28 years old because he is 2 times older than 14, 2032-14=2018, because 14 years have passed since he was 14
i bougth 3 bags of candy and 1 drink for 3.20 dollars. my sister bought 2 bags of candy and 4 drinks for 6.30 dollars. how much does each bag of candy and each drink cost?. may somebody explain me? please.
Answer:
Step-by-step explanation:
We can set up two equations: one for each sister:
Let C and D be the prices for a Candy bag and and Drink.
Sister 1: 3C + 1D = 3.20 [The total spent by sister 1 is the sum of 3 candy bags(C) and 1 drink (D), which comes to $3.20.]
Sister 2: 2C + 4D = 6.30 [The total spent by sister 2 is the sum of 2 candy bags(C) and 4 drinks (D), which comes to $6.30.]
We have two unknowns, C and D, BUT we have 2 equations. Therefore, we're likely going to be able to solve for C and D if we rearrange one of the equations to isolate one of the unknowns, and then use that expression in the other equation. Seems unlikely, but it always works.
I'll pick Sister 1's equation and solve for D, the price of a drink:
3C + 1D = 3.20
1D = 3.20 - 3C [This tells us the price of a drink is 3.20 - 3C]
Use this definition of 1D in Sister 2's equation:
2C + 4D = 6.30
2C + 4(3.20 - 3C) = 6.30
2C + 12.80 - 12C = 6.30
-10C = - 6.5
C = $0.65
One candy bag, C, is $0.65.
Use this value of C in any equation to find D, the cost of 1 drink. I'll pick The expression we derived above:
1D = 3.20 - 3C
1D = 3.20 - 3(0.65)
1D = 3.20 - 1.95
1D = $1.25
One drink, D, is $1.25.
===================
Check the values:
Candy Bags = $0.65 each Drinks = $1.25 each
Reported
Sister 1 2 1 2
Candy bags 3 2 $1.95 $1.30
Drinks 1 4 $1.25 $5.00
$3.20 $6.30 Calculated
$3.20 $6.30 Reported
T
Which statements describe one of the transformations performed on f(x) = x² to create g(x)=3(x+5)² - 2? Choose all that apply. 1 A. A vertical stretch with a scale factor of 3 B. A translation of 5 units to the left C. A vertical stretch with a scale factor of 3 D. A translation of 2 units to the left
These following translations happened to transform f(x) into g(x):
A. vertical stretch with a scale factor of 3. B. A translation of 5 units to the left.E. A translation of 2 units down.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are as follows:
f(x) = x².g(x) = 3(x + 5)² - 2.The changes were as follows:
x -> x + 5, hence a shift of 5 units left.Multiplication by 3, hence a vertical stretch with a scale of 3.y -> y - 2, hence shifted 2 units down.More can be learned about translations at https://brainly.com/question/4521517
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2sin² theta = sin theta for - 270° ≤ 0 ≤180°
Answer:
θ = 0°
θ = 30°
θ = 150°
θ = 180°
Step-by-step explanation:
2sin² θ = sin θ
Then
2sin² θ - sin θ = 0
Then
sin θ (2sin θ - 1) = 0
Then
sin θ = 0 or 2sin θ - 1 = 0
Then
sin θ = 0 or sin θ = 1/2
…………………………………………
We have sin θ = 0 and - 270° ≤ θ ≤180°
Then
θ = 0 or θ = π = 180°
On the other hand,
sin θ = 1/2 and - 270° ≤ θ ≤180°
Then
θ = π÷6 or θ = 5π÷6
π÷6 = 30° and 5π÷6 = 150°
Translate the shape A three squares right and one square up.
What are the coordinates of the vertices of the image?
Answer:
(4, 3) , (4, 0) , (6, 0)
Step-by-step explanation:
M (1, 4)
M ' ( 1 + 3, 4 - 1)
namely M ' (4, 3)
N (1, 1)
N ' ( 1 + 3 , 1 - 1) ((x, y) 3 squares right and 1 square down means
namely n" (4, 0) ( x + 3, y - 1))
p (3, 1)
p ' ( 3 + 3 , 1 - 1)
namely p' (6, 0)
Step-by-step explanation:
(3,4) not that sure about the coordinates are right
Solve this equation
3x - 5 = -26
3x - 5 = -26
step 1:
subtract +5 on each side because you have to do the inverse operation
step 2:
3x= -21
step 3:
now divide 3 on each side
the answer is -7
Hope this helped!
TheOneAndOnlyLara~
Answer:
x=-7.
Step-by-step explanation:
Hi student! Let me help you out.
_________________
First, add 5 to both sides.
[tex]\sf 3x=-26+5[/tex]. Upon simplifying, we obtain this.
[tex]\sf 3x=-21[/tex].
↪
Now divide both sides, by 3.
[tex]\sf x=-7[/tex]
[tex]\therefore,\sf the \quad value \quad of \quad x \quad is \quad -7[/tex]. Which is our final answer.
⇨Hope that this helped! have a great day ahead! ⇦
Best Wishes!
[tex]\star\bigstar\underline{\overline{\overline{\textsf{Reach far. Aim high. Dream big.}}}}[/tex]
◆◆-Greetings!-◈◈
__________________________
Can someone help me with this? Thanks!
Part (a)
There are 3 face cards (jack, queen, king) in any given suit. We have 4 suits. That gives 3*4 = 12 face cards total.
12/52 = 3/13 is the probability of getting a face card on any random selection. This probably does not change for any future selection because we put the current card back. In other words, the deck has not changed. Contrast this with part (b) where the probabilities will change since the card counts decrease each time (since we don't put the card back).
The probability of getting 3 face cards in a row, with replacement, is:
(3/13)*(3/13)*(3/13) = 0.012289 approximately
This converts to the percentage 1.2289% after moving the decimal point two spots to the right. This is the same as multiplying by 100.
Lastly, round that to one decimal place to get 1.2%
Answer: 1.2The percent sign is already taken care of, so you'll just input the number only.
=============================================================
Part (b)
Like mentioned earlier, the probability of a face card is 12/52
I won't reduce that fraction, as you'll see why below.
After that first card is not put back, the 12 decreases to 12-1 = 11 and we have 52-1 = 51 cards left over.
11/51 is the probability of getting another face card, where we have no replacement going on.
Then 10/50 is the probability of getting a third face card. Again, with no replacement.
Therefore,
(12/52)*(11/51)*(10/50) = 0.009955
is the approximate probability of getting 3 face cards in a row with no replacement. Notice the count down 12,11,10 in the numerators. There's also the countdown 52, 51, 50 in the denominators. This nice pattern only happens if we don't reduce the reducible fractions. This is why I didn't reduce.
Anyways 0.009955 converts to 0.9955% which rounds to 1.0% or simply 1%
Answer: 1