Answer:
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
Step-by-step explanation:
We are given the following parametric equations:
[tex]x = t^2 + 1[/tex]
[tex]y = t^2 - 1[/tex]
We want to eliminate the parameter t. From the first equation:
[tex]x = t^2 + 1[/tex]
[tex]t^2 = x - 1[/tex]
Replacing in the second equation:
[tex]y = x - 1 - 1[/tex]
[tex]y = x - 2[/tex]
Eliminating the parameter, the equation is [tex]y = x - 2[/tex]
Plz Work out -1x(6x-8)=
look at the image below and identify:
what is the same?
what is different? plz help me
Answer:
the difference is number 4
What expression is equivalent to
2/3 X 5
Answer:
1/3
Step-by-step explanation:
1/3 can be used as an expression that is exactly the same as 2/3x5.
When you multiply 2/3 x 5-
Look here if you need help solving 2/3 X 5: (2/3 x 5/1...is the simplest way to multiply the two, make sure to multiply 2 by 5 and 3 by 1 to get your answer.)(5x2=10...3x1=3)
-you get 10/3. This answer simplified is 1/3. So in the end, 1/3 is a great expression or answer to use as an equivalent to the equation 2/3 x 5.
Hoped this helped! :)
In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
length of FD to the nearest tenth of a foot.
E
539
57
F
D
X
Answer:
Check pdf
Step-by-step explanation:
Layla misses 5% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 51?
Answer:
49.47
Step-by-step explanation:
Layla missed 5%
so what you do is take the number 51
Then subtract it by 3%
And you get 49.47
A new bagel store opened. The first day 15 customers entered the store. The number of customers that enter the store triples each day after. Which function represents f(d), the
number of customers that enter on the day
Answer: it triples by 3 so 15,45, 135
Step-by-step explanation: this is by 3 because it goes on by 15,45,135
Which of the following is not True.
A. Angle 1 and Angle 8 are alternate exterior angles.
B. Angle 8 and Angle 4 are corresponding angles.
C. Angle 3 and Angle 2 are Vertical Angles.
D. Angle 5 and Angle 3 are Alternate Exterior Angles.
The percent of sales tax is 8%. What is the dollar amount of sales tax on a skateboard that costs $86.00?
Answer:
6.88
Step-by-step explanation:
8/100= 0.08
0.08×86 = 6.88
An insurance company divides its policy holders into three categories: low risk, moderate risk, and high risk. The low-risk policy holders account for 55% of the total number of people insured by the company. The moderate-risk policy holders account for 25%, and the high-risk policy holders account for 20%. The probabilities that a low-risk, moderate-risk, and high-risk policy holder will file a claim within a given year are respectively 5%, 15% and 60%. Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
Answer:
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Policy holder files a claim.
Event B: The person is a moderate-risk policy holder.
Probability of filling a claim:
5% of 55%(low risk)
15% of 25%(moderate risk)
60% of 20%(high risk).
So
[tex]P(A) = 0.05*0.55 + 0.15*0.25 + 0.6*0.2 = 0.185[/tex]
Files a claim and is moderate risk:
15% of 25%(moderate risk)
So
[tex]P(A \cap B) = 0.15*0.25 = 0.0375[/tex]
Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.185} = 0.2027[/tex]
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box
Answer:
8.2
Step-by-step explanation:
area=b*h
37.72=b*4.7
b=37.72/4.7
=8.2
Answer:
Step-by-step explanation:
Area of parallelogram= base×perpendicular height
37.72m²=base×4.6m
base= 37.72m²/4.6m²
base= 8.2m
Can you pls help meSimplify 6+(-11)
basically all you're doing here is subtracting 6 from 11. 11-6=5, add the - sign, so the answer is -5
Which three pieces of information contribute the most to your credit score?
How do I find the x? Please and thank you!
Answer:
x = 9
Step-by-step explanation:
The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.
Therefore, based on the exterior angle theorem of a triangle, we have the following equation:
2(7x + 2)° = (17x - 23)
14x + 4 = 17x - 23
Collect like terms
14x - 17x = -4 - 23
-3x = -27
Divide both sides by -3
-3x/-3 = -27/-3
x = 9
If lines r and s are parallel, what would be the measurement of angle 6 if angle 1 was 2x+4 and angle 2 was 6x+8?
Answer: 134
Step-by-step explanation:
Angle 1 and 2 are supplementary and Angle 2 is congruent to Angle 6
Thus, first solve for x
8x+12=180
x = 21
Then solve for angle 2 which is congruent to angle 6
6(21) + 8 = 134
Find the height of the parallelogram shown below, if the area is 2115.
45
?
51
Answer:
47
Step-by-step explanation:
2115/45=47
Ed bus a box of eggs costing £2.30, two packs of bacon for £2.60 each and two tins of baked beans. He pays with a £10 note gets 80p change how much did the tin of beans cost?
Answer:
£0.85 for each
£1.70 for both
Step-by-step explanation:
Variable x = cost of baked beans
2.30 + 2(2.60) + 2x = 10 - 0.80
Use PEMDAS
2.30 + 5.20 + 2x = 10 - 0.80
7.50 + 2x = 9.20
Subtract both sides by 7.50
2x = 1.70
Divide both sides by 2 to isolate the variable
x = 0.85
Let's check our work by plugging this into our original equation
2.30 + 2(2.60) + 2(0.85) = 10 - 0.80
2.30 + 5.20 + 1.70 = 10 - 0.80
7.50 + 1.70 = 9.20
9.20 = 9.20
Our number is correct
One way to recognize a line of symmetry is to look for a line that divides the
original image into:
A. Two congruent parts
B. Three congruent parts
C. Two perpendicular parts
D. Two intersecting parts
PLEASE HELP, will get brainliest
Answer:
The answer is the first, hope this helps
Step-by-step explanation:
Need help fast please with these 5 questions
Answer:
16.....................................
6⁹*6ⁿ = 6¹²6⁹⁺ⁿ = ¹²9 + n = 12n = 317.....................................
7⁸/7ⁿ = 7³7⁸⁻ⁿ = 7³8 - n = 3n = 518.....................................
15ⁿ = 115ⁿ = 15⁰n = 019.....................................
1/10⁵ = 10ⁿ10⁻⁵ = 10ⁿ-5 = nn = -520.....................................
(8²)ⁿ = 8¹²8²ⁿ = 8¹²2n = 12n = 6Write
1 quadratic function in
vertex form whose graph
has
the vertex (1,2) and passes
through the point (3,10)
Answer:
y = 2 ( x − 1 ) ^ 2 + 2
Step-by-step explanation:
y = a ( x − h ) ^ 2 + k
where vertex is (h,k) = (1,2)
h=1, k=2
y = a ( x − 1 ) ^ 2 + 2
sub ( 3,10)
10 = a (3 - 1)^2 + 2
a=2
y = 2 ( x − 1 ) ^ 2 + 2
A function is a relationship between inputs where each input is related to exactly one output.
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
The quadratic function in vertex form is y = 2(x - 1)² + 2.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = x + 2 is a function.
We have,
Quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10).
The quadratic function in vertex form is given by:
y = a(x - h)² + k
(h, k) = vertex
Now,
(h, k) = (1, 2)
Passes through (3, 10).
So,
10 = a(3 - 1)² + 2
10 = 4a + 2
8 = 4a
a = 2
Now,
The quadratic function in vertex form is y = 2(x - 1)² + 2
Thus,
The quadratic function in vertex form is y = 2(x - 1)² + 2.
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Benita observed that 28 out of 55 patrons at the public library used the computer. The librarian told Benita that 660 patrons enter the library throughout the day. Based on Benita's observations, how many patrons during the day would be expected to use the computer?
Answer:
336
Step-by-step explanation:
Your friend says that enough information is given to prove that x= 15. Is your friend correct?
please help
Answer:
Yes, it appears so.
Step-by-step explanation:
Based on the fact that angle L and angle P are congruent, the angles at point M are also congruent to their opposites. All of this points to triangles MNP and MLK being the same, which would mean that x does equal 15. Sorry I couldn't state any specific laws or anything.
Use Law of Sines or Law of Cosines to solve for the missing parts of each triangle
Answer:
[tex]x = 9.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Using law of sine, we have:
[tex]\frac{a}{sin A} = \frac{b}{Sin B}[/tex]
So, we have:
[tex]\frac{x}{sin 32} = \frac{18}{Sin 100}[/tex]
Make x the subject
[tex]x = \frac{18 * sin 32}{Sin 100}[/tex]
[tex]x = \frac{18 * 0.5299}{0.9848}[/tex]
[tex]x = 9.685[/tex]
[tex]x = 9.7[/tex] -- approximated
A parallelogram has an area of 37.72 m² and a height of 4.6 m.
How long is the base of the parallelogram?
Enter your answer as a decimal in the box
Answer:
8.2m
Step-by-step explanation:
Formula : Area = base x height
rearrange : Base = area ÷ height
37.72÷4.6=8.2m
Answer:
8.2
Step-by-step explanation:
A child is standing across the street from his apartment. His mother is on their balcony. The angle of elevation between the child's eyes and his mother's eyes is 28°. If the distance between their eyes is 35 ft, how far is the child standing from his apartment building? Round to the nearest foot.
PLS HELP I ONLY NEED PART B
Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie.
Part A Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.
Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.
Answer:
X= 2y - 3
Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3
Julie makes y tryouts and twice would be 2y.
Step-by-step explanation: hope this helps!!! :)
Answer:
X= 2y - 3
Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3
Julie makes y tryouts and twice would be 2y.
Step-by-step explanation:
There are 680 students in a school. Of the students, 55% are girls and the rest are boys. How many more girls than boys are there in the school?
Marcos is making a pyramid in his wood shop class. The base of the pyramid is a rectangle. 6 What is the surface area of the pyramid? Show your work.
The points T(1,5), U(-5,1), and V(4,-2) are the midpoints of the sides of triangle ABC. Graph the three midsegments. Complete the coordinates of each vertex of triangle ABC. Pls answer quick
Answer:
use your instincts
Step-by-step explanation:
trust your gut that is what my idiot dad told me to do
Based on information from the periodic table, what does this image represent? HE 4 Protons e 5 Neutrons = 2 Electrons A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion
Answer:
D. A positively charged beryllium ion
This image represents A positively charged beryllium ion.
We have given that,
He 4 Protons e 5 Neutrons = 2 Electrons
A. A negatively charged beryllium ion
B. A neutral boron atom
C. A neutral beryllium atom
D. A positively charged beryllium ion.
We have to determine, Based on information from the periodic table what does this image represent?
What is the periodic table?A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.
This image represents A positively charged beryllium ion.
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