The values of the letters in coordinates (a, b) and (c,d) are;
a = -4
b = -6
c = 2
d = 6
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
We are told that they intersect at coordinates; (a, b) and (c, d).Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
Let us put 10 - x² into eq 1 to get;-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation solver, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
Thus, the coordinates are; (-4, -6) and (2, 6)Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
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If the product of a chemical reaction massess 8g, how much did the reactants mass?
Answer:
8 gram
Step-by-step explanation:
It honestly depends on the yield, purity and other factors but I'm assuming the mass is conserved since no other variables were given
Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it?
(A)7/36
(B)1/5
(C)11/36
(D)1/6
Answer:
1/6
Step-by-step explanation:
There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6
The solution is, the probability that the result will have at least one two in it is, 1/6.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
Two six-sided number cubes are rolled at the same time.
so, we get,
There are 12 numbers in total.
There is a 2 on each cube so there are two possible chance.
2/12=1/6
2/2=1
and 12/2=6
now, we have,
therefore 2/12=1/6.
Hence, The solution is, the probability that the result will have at least one two in it is, 1/6.
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7/8-1/2=
PLEASE HELP 15 POINTS
how many line segments are needed to connect 20 points in a plane so that each pair of points are the endpoints of a line segment
Find cos theta if tan theta=9/2
Answer:
square root of 654
Step-by-step explanation:
Marking brainliest!
Why should we love ourselves and accept our body?
Answer: reasons to love yourself, plus how self-love can change your life. ... We don't always have a warm body to hold us in a hard moment. ... counterintuitive—claiming that the best way to change yourself is to accept yourself.
Step-by-step explanation:
Answer:
Because we are perfect just the way we are. What we think of ourselves is much more important than what other people think of us. Not to mention that there is literally no reason for someone to try to shame you about something unless they are jealous of you for one reason or another.
Hosting a breakfast brunch for 25 people, you plan to serve scrambled eggs. The grocery sells eggs in cartons, and each carton can feed four people. How many cartons of eggs must you buy to ensure each guest a serving? A. 4c = 25 B. 25c > 4 C. 4c < 25 D. 25 _> 4c E. 4c _> 25
Answer:
75
Step-by-step explanation:
First, a cartoon of eggs has 12 eggs so if a carton feeds 4 people each person gets 3. Multiply 3x25 to see how many cartons you will need.
Please show how you got the answer.
Answer:
cosA = 8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
The number that is adjacent to angle A is 24 and the hypotenuse is 51
Plug the numbers into the cosine equation, which would look like:
Cos A = 24/51
You can simplify the fraction by dividing it by 3
So Cos A = 8/17 or 0.89130173...
If who answers the question fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!
At Cassville Middle School, students can choose to study either French or Spanish. The
principal tracked the number of students learning each language for the past several years.
These box plots show the results.
Which languag had a higher median number of learners?
French
Spanish
Answer:
is french which is higher median number of learners
Explanation:
The vertical bar on the inside of the box visually represents the median. For the French learners, the median is at 200. For the Spanish learners, the median is at 190.
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
Multiply the 2nd equation by -4. What value belongs in the green box?
an amusement park is open for 15 hours a day 7 days a week
Their admission prices are listed below
3 hours or less: $15
Between 3 hours and 7 hours: $22
7 or more hours:$30
Identify their domains and functions for this context.
Answer:
f(x)=15 when: 0<x(less than or equal to)3
f(x)=22 when: 3<x<7
f(x)=30 when: 7(is less than or equal to)x
Part B- Evaluate the function for f(2): 15
Step-by-step explanation:
Algebra Nation; Section 8 topic 6
The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:
For f(t) = 15: 0 < t ≤ 3
For f(t) = 22: 3 < t ≤ 7
For f(t) = 30: t > 7
How to calculate the domain?The admission prices at the amusement park can be represented as functions of the amount of time a customer spends at the park. Let's denote the amount of time by t (in hours). Then we can define the following functions:
For t ≤ 3: f(t) = 15
For 3 < t ≤ 7: f(t) = 22
For t > 7: f(t) = 30
The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:
For f(t) = 15: 0 < t ≤ 3
For f(t) = 22: 3 < t ≤ 7
For f(t) = 30: t > 7
Note that the domain for each function reflects the fact that customers can only be charged according to the specified rates for the corresponding time intervals.
Additionally, since the amusement park is open for 15 hours a day, 7 days a week, we can say that the total operating time is 15 x 7 = 105 hours per week.
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Which equation is equivalent to 231 = 10?
Answer:
4.) log2(10)=3x
Step-by-step explanation:
I think it's correct
[tex]cos x -1=0[/tex]
Answer:
x=2[tex]\pi[/tex]n,for any integer n
Step-by-step explanation:
solve for x
[tex]\frac{1}{x-7}[/tex] =4
Answer:
x = 7.25
[tex]x = 7\frac{1}{4}[/tex]
[tex]x = \frac{29}{1}[/tex]
[tex]\frac{1}{7.25 - 7} = 4[/tex]
45 minutes ago
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Background
Layout
Theme
Transition
4.
P:
Caleb invests $10,000 in a savings
account that pays 3% simple interest.
How many years will it take the account
to grow to $12,700, if he does not make
any withdrawals or deposits?
A 7 years
B 12 years
C 9 years
22 years
r:
t:
D
k to add speaker notes
Answer:
876889068
Step-by-step explanation:
Joley is opening her first checking account as a teenager. She doesn't have a job, so most of the income will be presents from birthdays and holidays. Bank A has a $8 monthly charge. Bank B charges 2% of the balance. Which account balance below will result in bank B being a better financial choice?
Answer:
the answer is A !
Step-by-step explanation:
If the average tween complains about 13 things every two hours, how many hours will it take to reach 195 complaints?
Answer:
30hours
Step-by-step explanation:
complaints/ hours
13/2=195/h
h=30
1) The product of two numbers is 8. One of the numbers is x. Write an expression for the other number.
2) Fiifi is 3 years older than JoJo. If JoJo is x years old, write an expression for the sum of their ages.
Answer:
1 ) y = 8 / x
2 ) 3 + 2x
Step-by-step explanation:
1 )
One number = x
Let the other number be y.
The product of two numbers is 8,
( x ) ( y ) = 8
xy = 8
y = 8 / x
Expression for the other number is,
y = 8 / x
2 )
JoJo = x years old
Fiifi = ( 3 + x ) years old
Expression for the sum of their ages
= 3 + x + x
= 3 + 2x
PLEASE HELP....
DONT USE BITLY LINK
This is a blueprint drawing of the stage area at Millennium Park. The length of one square on the grid is equal to 5 feet. According to the blueprint, the length of the diagonal of square C is 60 feet. Is that correct? Explain.
Answer:
No
Step-by-step explanation:
Square contains 10 squares on each side resulting to a length of (10×5) i.e 50 feet.
Using pythogoras theorem
50^2+50^ is not equal to 60^2
Triangle ABC is similar to triangle DEF.
Answer:
C) 4/3 = DE/9
Step-by-step explanation:
I don't have much time to explain, so just trust me on this. :)
A store owner wants to know how many of her 600 regular customers prefer canned vegetables. Each of her three cashiers randomly surveys 20 regular customers. The table shows the results.
Answer:
Sample A Estimate: 330
Sample B Estimate: 420
Sample C Estimate: 360
Median: 360
Range: 90
Step-by-step explanation:
For the sample estimate, multiply 600 by 11/20, 7/10, and 3/5 in order.
600 * 11/20
6600/20
330 people for Estimate A.
600 * 7/10
420/10
420 people for Estimate B.
600 * 3/5
1800/5
360 people for Estimate C.
330, 360, 420
360 is the median of these estimates.
420 - 330 = 90
90 is the range of these estimates.
plz need help now plz 11 points
Answer:
137 square feet
Step-by-step explanation:
To find the area of this figure, you will need to combine the area of the triangle and the rectangle. The area formula of a triangle is A = 1/2lw (l = length, w = width). You just find the area the same way you would the rectangle and the divide it by 2. 6 times 3 is 18, and 18 divided by 2 is 9. The area of the triangle is 9 square feet. To find the area of the rectangle, multiply the length and the width (16 and 8). The product is 128. 128 + 9 = 137.
Using the given degree measure give two coterminal angle (one negative and one positive) and the reference angle. - 40°
Answer: C 2021 edg
Step-by-step explanation:
URGENT 100 POINTS (all fake answers will be removed and i will take the points back)
Quadrilateral ABCD is inscribed in circle O.
What is m∠A ?
Answer:
42 degrees (check attachements) hope it helps!
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.
m<B + m<D = 180
2x + 3x - 5 = 180
5x = 185
x = 37
m<A = x + 5
m<A = 37 + 5
m<A = 42
ILL GIVE BRAINLEST AND 50 PTS!
what is the area of this parallelogram?
36cm^2
67cm^2
77cm^2
98cm^2
Answer:
dont yu multiply them all
Step-by-step explanation:
helpp?!?please i will give you cookie
Hope it helps you! ........
PLEASE HELP FAST I thought I had it but I got it wrong and I'm on my last attempt.
Answer:
y= 2/3x-4
Step-by-step explanation:
I believe that is correct, I hope it helps
Answer:
y= -2/3 x -4
Step-by-step explanation:
y=mx+b so b is the y intercept which is -4 and the slope is -2/3 bc u rise 2 and run 3 from the point to the y intercept
Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds one bottle of soda that costs $2.52 and contains 14 ounces. Which bottle costs less per ounce?
Answer:
The bottle that costs less per ounce is the 11 ounce
Step-by-step explanation:
First you have to divide each ounce by the cost to find out how much each ounce costs.
1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.
Hope this helps!