Step-by-step explanation:
plug the coordinate points into the equations and solve for the remaining variable.
b) (2,3) - 5(2) + b(3) = 16
10 + 3b = 16. 3b= 6. b = 2
(0,8) - 5(0) + 2(8) = 16. 0+ 16 = 16. ☆
a) (4,4) assume based on results you meant y squared. (y^2)
(4)^2 = 4k. 16 = 4k. k = 4
(8)^2 = 4(16). 64 = 64. ☆
Answer:
Please check the explanation.
Step-by-step explanation:
a)
Given
(4,4) is a point on a locus whose equation is y²=kx
Putting (4, 4) in y²=kx
(4)² = k(4)
16 = 4k
k = 16/4
k = 4
Checking the point (16, 8) on the locus
y²=kx
Putting (16, 8) and k =4 in y²=kx
y²=kx
(4)² = 4×4
16 = 16
L.H.S = R.H.S
Therefore, (16, 8) is another point on the locus.
b)
Given
(2, 3) is a point on a locus whose equation is 5x +by= 16
Putting (2, 3) in 5x +by= 16
5x+by=16
5(2)+b(3)=16
10+3b=16
3b=6
b=6/3
b=2
Putting (0, 8) and b=2 in 5x +by= 16
5x +by= 16
5(0)+2(8)=16
0+16=16
16=16
L.H.S = R.H.S
Therefore, (0, 8) is another point on the locus.
This question is easy, but the person who answers this gets 100 points! Be fast!
What is (4 x 4) x ((5^2) x 1)
A. 500
B. 400
C. 50
D. 40
Answer:
B. 400
Step-by-step explanation:
4×4 =16
5^2 = 25
25×1= 25
16×25= 400
can someone please help.. will mark brainliest !
Solve this equation.
23x−15x=x−1
Answer:
x = -1/7
Step-by-step explanation:
25x - 15x = x - 1
combine like terms
7x = -1
divide
x = -1/7
Answer:
x = -1/7 (the whole fraction is negative)
Step-by-step explanation:
23x−15x=x−1
8x = x - 1
8x - x = x - 1 - x
7x = -1
x = -1/7
At the beginning of spring, Jeremiah planted a small sunflower in his backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week. How tall would the sunflower be after 10 weeks? How tall would the sunflower be after ww weeks?
Answer:
a) How tall would the sunflower be after 10 weeks?
35 inches tall
Step-by-step explanation:
At the beginning of spring, Jeremiah planted a small sunflower in his backyard. When it was first planted, the sunflower was 15 inches tall. The sunflower then began to grow at a rate of 2 inches per week.
If the rate:
1 week = 2 inches
10 weeks = x inches
x = 10 × 2/1
x = 20 inches
How tall would the sunflower be after 10 weeks?
The initial height = 15 Inches
The height after 10 weeks =
15 inches + 20 inches
= 35 inches
1/sin2A+cos4A=cotA-cosec4A
Can you pls help me
What is g(-1)
Answer:
It'd be -g
Step-by-step explanation:
If you were to multiply g and -1, it'd be -g since a positive time a negative is negative.
But I'm not sure if you're talking about the g in functions. I haven't learned that yet, so sorry if my answer was not what you're looking for.
Given the statement "If there is a lightning storm, then we won’t go swimming,” which is the contrapositive?
If there is not a lightning storm, then we will go swimming.
If there is not a lightning storm, then we won’t go swimming.
If we go swimming, then there will not be a lightning storm.
If we don’t go swimming, then there will be a lightning storm.
simplefy the equation
Answer:
i wish i could simply life.
Step-by-step explanation:
The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.
A. 5:6
B. 3:5
C. 5:8
D. 2:5
Answer:
A. 5:6
Step-by-step explanation:
The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.
Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.
Therefore:
Scale factor = 25:30
Simplify
Scale factor of the smaller figure to the larger = 5:6
Solve the equation y = ax − b for the variable x.
Answer:
x = y/a + b/a
? is that what you meant
Step-by-step explanation:
Answer:
the answer is d) x = y/a+ b/a
Step-by-step explanation:
brainliest pleasee
What is the value of x?
Answer:
x=84
Step-by-step explanation:
the sum of the angles in a pentagon is always 540 so do
540-131-108-107-110=84
Answer:
84
Step-by-step explanation:
The picture shown is 5 sided polygon
By using the formula (n - 2) * 180
We would get (5 - 2) * 180
3 * 180 = 540
We first add
131 + 108 + 107 + 110 + x = 456 + x
With the angle of the entire polygon, we would subtract which would give us the value for x
540 - 456 = 84
Alyssa has 2.1 meters of ribbon to make bows. She needs to make 3 bows. If she uses an equal amount of ribbon for each of her bows, and uses all of the ribbons she has, how much ribbon will she use for each bow?
Use the Math Learning Center App, Number Pieces to show your thinking using place value blocks. Enter your answer and explain how you used the place value blocks to model the problem.
Answer:
0.7 ribbon
Step-by-step explanation:
To find how much is needed, use division.
So, to show your work:
2.1 divided by 3 = 0.7
I hope this is what you were looking for and I hope this is the correct answer for you!!! :)
Find at least one solution to the following equation:
sin(x
2 − 1)
1 − sin(x
2 − 1) = sin(x) + sin2
(x) + sin3
(x) + sin4
(x) + · · ·
For |x| < 1, we have
[tex]1+x+x^2+\cdots=\displaystyle\sum_{n\ge0}x^n=\frac1{1-x}[/tex]
We have |sin(x)| ≤ 1, with equality when x = ± π/2. For either of these, the right side of the equation does not converge, since it's either an infinite sum of 1s or an infinite alternating sum of 1 and -1.
So for |sin(x)| < 1, we have
[tex]\sin(x)+\sin^2(x)+\sin^3(x)+\cdots=\dfrac1{1-\sin(x)}-1=\dfrac{\sin(x)}{1-\sin(x)}[/tex]
so the equation is equivalent to
[tex]\dfrac{\sin(x^2-1)}{1-\sin(x^2-1)}=\dfrac{\sin(x)}{1-\sin(x)}[/tex]
One obvious set of solutions occurs when x = x² - 1 :
x² - x - 1 = 0 → x = (1 ± √(5))/2
i.e. the golden ratio φ ≈ 1.618 and 1 - φ ≈ 0.618.
Which angles are corresponding angles?
try A
Step-by-step explanation:
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]
Step-by-step explanation:
✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .
Hope I helped!
Have a wonderful time ! ツ
~TheAnimeGirl
what is2/3 divided by 4/5
Step-by-step explanation:
2 /4
3. 5
doing reciprocal
2× 5
3. 4
= 8×15
12
= 120
12
=10 ans
hope it help u..
PLZ ANSWER ASAP ONLY IF YOU ARE CORRECT!!!
Answer:
r=-35
Step-by-step explanation:
5. Using commutativity and associativity of addition of rational numbers, express each<br />of the following as a rational number. <br />1. 2/5 +7/3+-4/5 +-1/3<br />2. 3/7+-4/9+-11 /7 +7/9<br />3. 2/5+8/3+-11 /15+4/5+-2/3<br />4. 4/7+0+-8/9-13/7+17/21<br /><br /><br /><br />So important please tell me fast.
Answer:
[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]
Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.
The figures are similar find x for both
pls help whoever gives me the most correct answer I'll mark brainliest
Question 7 (Worth 1 points)
(04.03 MC)
The price of oranges at a farm is $1.16 per pound. Which equation can be used to determine c, the total price of n pounds of oranges?
c equals 1.16 over n
c = 1.16n
c = 1.16 + n
c = 1.16 − n
Points earned on this question: 0
Question 8 (Worth 1 points)
(04.03 MC)
The graph below shows the price of different numbers of towels at a store:
A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 17, 34, 51, 68, and 85. Points are shown on ordered pairs 0, 0 and 2, 17 and 4, 34 and 6, 51 and 8, 68. These points are connected by a line. The label on the x-axis is Number of Towels. The title on the y-axis is Price in dollars.
Which equation can be used to determine p, the cost of t towels?
p = 8.50 + t
t = 8.50 + p
t = 8.50p
p = 8.50t
Points earned on this question: 0
Question 9 (Worth 1 points)
(04.04 MC)
If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?
2 hours
4 hours
10 hours
16 hours
Points earned on this question: 1
Question 10 (Worth 1 points)
(04.04 MC)
If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?
1 over 3 ton
1 over 2 ton
8 over 9 ton
11 over 12 ton
Points earned on this question: 1
Question 11 (Worth 1 points)
(04.05 MC)
David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in David's measurement?
0.39%
0.94%
6.50%
6.39%
Points earned on this question: 0
Question 12 (Worth 1 points)
(04.05 MC)
The regular price of a coat is $40.25. During a sale, the coat was marked 24% off. What was the price of the coat during the sale?
$30.59
$37.85
$40.01
$40.49
Points earned on this question: 0
Answer:
c= 1.16n
Step-by-step explanation:
j
There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)
Answer:
65 pencils in all
Step-by-step explanation:
13 times 5 is 65, so 65 pencils in all.
3. A number between 30 and 50 is chosen at random. What's the probability that the
number contains at least one 4?
Answer:
0.5789
Step-by-step explanation:
The successful events would be 34 , 40 41 42 43 44 45 46 47 48 49
The total number of ways 19 when you count from 31 to 49
P(1 four) = 11/19 = 0.5789
As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.
Answer:
15
Step-by-step explanation:
24*5=120 / 8 = 15
15 is answer.
Each year, Andrea donates a total of $800 for scholarships at her local community college. This year, she wants the amount she donates for liberal arts to be three
times the amount she donates for scholarships for business. Determine the amount she will donate for each type of scholarship.
The equation is Andrea will donate $ for business scholarships and $ for liberal arts scholarships.
Answer:
The equation is [tex]L + B = \$800[/tex]
Andrea will donate $200 for business scholarships and $600 for liberal arts scholarships.
Step-by-step explanation:
Given
Represent Liberal Arts with L and Business with B
From the question, we have that:
[tex]L = 3 * B[/tex]
and
[tex]Total = \$800[/tex]
Required
Determine how much she donates for each
The total L + B is 800
i.e.
[tex]L + B = \$800[/tex]
Substitute 3 * B for L
[tex]3 * B + B = \$800[/tex]
[tex]3 B + B = \$800[/tex]
[tex]4B = \$800[/tex]
Solve for B
[tex]B =\$800/4[/tex]
[tex]B =\$200[/tex]
Recall that :
[tex]L = 3 * B[/tex]
[tex]L = 3 * \$200[/tex]
[tex]L = \$600[/tex]
In the winter, Grandma Helen knits scarves for her family members. It took her 70 minutes to make a 35-inch-long scarf for her grandson, Sean. Now, she wants to make a 50-inch-long scarf for her granddaughter, Shannon. If Grandma Helen knits at the same rate, how many minutes will it take her to make Shannon's scarf?
Answer:
100 minutes
Step-by-step explanation:
Set up a proportion where x is the amount of minutes it will take her to make the 50 inch long scarf:
[tex]\frac{70}{35}[/tex] = [tex]\frac{x}{50}[/tex]
Cross multiply and solve for x:
35x = 3500
x = 100
So, it will take her 100 minutes to make Shannon's scarf
Ashley simplified the following expression with the given steps 2(x+4)-(2x-8) 2x+4-2x-8 2x-2x+4-8 0-4 -4 Explain to her what her error was and how to correct it
What is the least perfect square that is a factor of 4536?
Answer:
I don't think there is a least perfect square that is factor of 4536
Step-by-step explanation:
Divide:
285 divided by 45
Which is true about this division problem? Select all that apply.
45 goes into 285 evenly.
45 does not go into 285 evenly.
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is 6.ModifyingAbove 3 with bar.
The quotient is 6.3.
Answer:
Step-by-step explanation:
The true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
Here,
To divide 285 by 45, we perform the division:
6
-------
45 | 285
- 270
-------
15
The quotient is 6 with a remainder of 15.
Now, let's analyze the statements:
45 goes into 285 evenly. - False.
45 does not divide 285 evenly since there is a remainder of 15.
45 does not go into 285 evenly. - True.
As explained above, 45 does not divide 285 evenly, and there is a remainder of 15.
The quotient contains a repeating decimal. - False.
There is no repeating decimal in the quotient since the division is a whole number (6).
The quotient contains a terminating decimal. - False.
As mentioned earlier, there are no decimals involved in the quotient; it's a whole number.
The quotient is 6 with a bar above 3. - False.
The quotient is 6 with a remainder of 15, not 6.3.
In summary, the true statements are:
45 does not go into 285 evenly.
The quotient is 6 with a remainder of 15.
To learn more on division click:
brainly.com/question/21416852
#SPJ6
what the slope of (15,9) (-10,3)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]
[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]
[tex]slope = \frac{6}{25} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].
Step-by-step explanation:
This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.
With more than 33 species, more species of bats live in Texas than anywhere else in the United States. If Texas contains fewer than 3% of the species of bats in the world, how many species of bats are there worldwide?
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How many 9 digit numbers have their first and last digits even?
There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).
Answer: 200,000,000.
we have 9 spaces we need to fill in
There are 10 total numbers(0–9)
There are 5 even numbers(0,2,4,6,8)
fill from left to right
u cannot start with 0 so pick another number 2,4,6,8 any of those
4*10^7*5= 20*10^7 = 2*10^8
200,000,000.