Step-by-step explanation:
This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:
y-y₁ = m(x-x₁)
So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:
y = m(x-x₁) + y₁
We can now simplify the equation to:
y = m·x - m·x₁ + y₁
Now we just input the given information.
m = 5 (slope)
x = 21
x₁ = 5
y₁ = 6
Now we have all the information we need and we can solve.
y = 5·21 - 5·5 + 6
y = 105 - 25 + 6
y = 86
So y, when x = 21, is equal to 86.
A circle centered at the origin contains the point (0, –9). Does (8, StartRoot 17 EndRoot) also lie on the circle? Explain.No, the distance from the center to the point (8, StartRoot 17 EndRoot) is not the same as the radius. No, the radius of 10 units is different from the distance from the center to the point (8, StartRoot 17 EndRoot). Yes, the distance from the origin to the point (8, StartRoot 17 EndRoot) is 9 units. Yes, the distance from the point (0, –9) to the point (8, StartRoot 17 EndRoot) is 9 units.
Answer:
Step-by-step explanation:
No it does not cause the 8 To the 17 overpasses the coordinates 0,-9 so the perimeter of the imaginary circle it expands loosely over the designated area
Answer:
Answer C
Step-by-step explanation:
EDGE2021
Need it for grade: What is X???
Answer:
x=6
Step-by-step explanation:
FG + GH = FH
4+x-3 = 2x-5
Combine terms
x+1 = 2x-5
Subtract x from each side
x+1-x = 2x-5-x
1 = x-5
Add 5 to each side
1+5 = x-5+5
6 =x
Answer:
x=6
Step-by-step explanation:
F G + G H = F H
4+x-3 = 2x-5
12. The overtime rate of pay which is one-and-a-half times the basic rate of $240
per hour is
Answer:
300 inches tall or a flat surface is the best way you could use it to be
help will mark brainliest
Answer:
no mistakes
Step-by-step explanation:
There are no mistakes in the derivation of the quadratic formula by completing the square
Step 1
Move c to the right hand side
Step 2 Get x^2 to have a coefficient of 1
Step 3 complete the square by adding ( b/2a) ^2 to each side
Step 4 Write in the completed square form ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2
Step 5 take the square root of each side, remembering the plus and minus
Step 6 subtract (b/2a) from each side
What is the area of the yard?
Answer:
256
Step-by-step explanation:
Assuming that the length of his garage is the longer dimension (16), the area of the square yard must be 16*16=256 square units. Hope this helps!
the radius of the compass in 14 millimeter. what is the approximate area of the compass? (use 3.14
Answer:
the approximate area of the compass is 615.75mm2
a) (7x10^5)x(3x10^2) in standard form b) (2x10^5)/(4x10^2) in standard form
The given expressions written in standard form are;
A) 21 × 10⁷
B) 5 × 10²
This is about expression of given algebra in standard form making use of laws of indices.
A) We are given;
(7 × 10⁵) × (3 × 10²)
Now according to the law of indices, when we want to multiply 2 numbers with same bases and different exponents, we retain the bases and add the exponents.
Also, when we want to multiply 2 numbers with different bases and same exponent, we multiply the bases and retain the exponent.
Applying that to our question gives;
(7 × 3)¹ × (10)⁽⁵ ⁺ ²⁾
⇒ 21 × 10⁷
B) We are given;
(2 × 10⁵)/(4 × 10²)
According to the law of indices, when we want to divide 2 numbers with same bases and different exponents, we retain the bases and subtract the exponents.
Also, when we want to divide 2 numbers with different bases and same exponent, we divide the bases and retain the exponent.
Thus;
(2/4)¹ × (10)⁽⁵ ⁻ ²⁾ = 0.5 × 10³
0.5 can also be expressed as; 5 × 10⁻¹
Thus, 5 × 10⁻¹ × 10³ = 5 × 10²
Read more at; brainly.in/question/18681990
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
complementary
Step-by-step explanation:
to complete 90 gradus
_________________________________
Hey!!
<a and <b are complementary angles.
Complementary angles are those angles which are exactly 90 degree.Hope it helps
Good luck on your assignment
__________________________________
A store uses a 60% markup rate to sell items to its customers. If one item costs 12$ how much money the store will make on that item. And what is the selling of that item.
Answer:
12
Step-by-step explanation:
60% of $12
(60 × 20) ÷ 100 = 12
The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
12.5
its right
Step-by-step explanation:
Simplify the expression by combining like terms.
22+5−4+7−8
Answer: 22
Step-by-step explanation:
22+5= 27
27-4=23
23+7=30
30-8=22
Answer:
22+m+ 7n - 8
Step-by-step explanation:
22+5m-4m+7n-8
22+m+ 7n - 8
you subract 4m from 5m because there are like terms
none of the others are like terms so you cant add or subract them
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Thank you!
Answer: 12 child tickets
Step-by-step explanation:
We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.
Equation 1
5.25x+3.05y=498.6
This equation comes from the cost of tickets.
Equation 2
x+y=100
This equation comes from the number of tickets.
We can use elimination method to solve for y.
5.25x+3.05y=498.6
5.25x+5.25y=525
Now, we can subtract the equations for x to cancel out and to solve for y.
-2.2y=-26.4
y=12
Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour? I need the answer as a fraction.
Answer:
He can ride his bike 5/34 of a mile per hour.
Step-by-step explanation:
If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.
PLEASE HELP WILL MARK BRAINLIEST
Draw the reflection of the figure over the line shown.
Answer:
Step-by-step explanation:
plz help!!! marking brainiest!!
What is the length of AC?
Please help!!!!
Answer:
Step-by-step explanation:
answer b
Answer:
Option B
Step-by-step explanation:
Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;
[tex]BA and DE,\\AC and EC,\\BC and DC[/tex]
With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;
[tex]DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC[/tex]
With that, the length of AC in respect to EC can be represented as such;
[tex]AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12[/tex]
[tex]AC = 156 - x = 156 - 12 = 144[/tex]
Solution - Option B
A rectangle with a length of x + 5 has a perimeter of 4x + 14.
1. Write the expression for the width of the rectangle in terms of x.
Help plsss
Answer:
hope this helps you
the area that lies between Z=-2.61 and Z=0 is
Answer:
2.61
Step-by-step explanation:
To find the amount of space between the two points, subtract -2.61 from 0.
0 - (-2.61) Distribute the negative
0 + 2.61 Add
2.61
w
b
Х
What is the value of c?
4
4 units
a
с
0 5 units
Y
6 units
3
Z
O 7 units
The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units
How to determine the value of c?Considering the triangle WYZ, we make use of the following Pythagoras theorem
c² = 4² + 3²
Evaluate the exponents
c² = 16 + 9
Evaluate the sum
c² = 25
Take the positive square root of both sides
c = 5
This means that the value of c is 5 units
Read more about right triangles at:
https://brainly.com/question/2217700
#SPJ5
10+12+14+...+(2n)=90 n=?
Answer:
n=10
Step-by-step explanation:
The given equation is
[tex]10+12+14+...+2n=90[/tex] ...(1)
Let nth term is 2n.
We need to find the values of n.
It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.
Sum of A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
where, a is first term and d is common difference.
Substitute a=10 and d=2 in the above formula.
[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]
[tex]10+12+14+...+2n=n[10+n-1][/tex]
[tex]10+12+14+...+2n=n[9+n][/tex] ...(2)
From (1) and (2), we get
[tex]n(9+n)=90[/tex]
[tex]n^2+9n-90=0[/tex]
Splitting middle term, we get
[tex]n^2+15n-6n-90=0[/tex]
[tex]n(n+15)-6(n+15)=0[/tex]
[tex](n+15)(n-6)=0[/tex]
[tex]n=-15,6[/tex]
Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.
Note: nth term and variable n both are different.
[tex]a_n=a+(n-1)d[/tex]
[tex]a_6=10+(6-1)2=10+10=20[/tex]
Sixth term is 20. So,
[tex]2n=20[/tex]
[tex]n=10[/tex]
Therefore, the value of n is 10.
Volume of a triangular prism 4 cm 9 cm and 5 cm
Answer:
180 cm³
Step-by-step explanation:
Volume = base area x height
4x9x5
Answer:
180 cm^3
Step-by-step explanation:
Vol = base time height times length
4 times 9 times 5 = 180
PLEASE HELP ME PLEASE AND THANK U
Answer:
3/4
Step-by-step explanation:
There is 2 Os and 8 in total.
So the probability of selecting O is 1/4
As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4
A swimming pool has length of 100 meters a width of 25 meters and depth of 4 meters throughout the whole pool . How much water can fill the pool?
Answer:
100 x 25 x 4 = 10000[tex]m^{3}[/tex]
Step-by-step explanation:
What is the value of f(x) = 2.2 for f(-2)?
here is your ansewewrew
A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did they make?
Answer:
108.3%
Step-by-step explanation:
The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000
Selling price= $25,000
Cost price=$12,000
Gain= selling price-cost price
= 25000-12000
= $13000
The percentage profit can be calculated by applying the formular below
Profit= Gain/cost price×100/1
=13000/12000×100/1
=1.083×100
= 108.3%
Hence the percentage profit is 108.3%
Answer:
52%
Step-by-step explanation:
Step one
In this problem we we have to calculate the profit made after spending a certain amount on the car
Step two
Given that he spent $12000 for parts
And he sold the car for $25000
The profit made is
=Cost of car - cost of repair
= 25,000-12,000
=$13,000
The profit made is $13,000
Step three
Using the cost of the car and the profit realized we can calculate the percentage of the profit made
= (13,000/25,000)*100
= 0.52*100
=52%
Can someone plz help me solved this problem! I really need help ASAP! Will mark you as brainiest!
Answer:
a) k = 3 b) k = 4
Step-by-step explanation:
a) 3 x 7 = 21
b) 4 x 3 = 12
Answer:
1) k=3 (2) k=4
Step-by-step explanation:
[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]
If the domain of f(x)=2x+1 is {-2
Step-by-step explanation:
-4 (A)
because the minimum value of f(x) is f(-2)= -3
the range is between {-3,7}
Answer:
A. -4
Step-by-step explanation:
15x - 5y = 30 in slope intercept form
Answer:
y = 3x - 6
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
15x - 5y = 30
Subtract 15x from each side
15x-15x - 5y =-15x+ 30
-5y = -15x+30
Divide each side by -5
-5y/-5 = -15x/-5 +30/-5
y = 3x - 6
Answer:
[tex]y = 3x - 6[/tex]
Step-by-step explanation:
[tex]15x - 5y = 30 \\ - 5y = 30 - 15x \\ \frac{ - 5y}{ - 5} = \frac{30 - 15x}{ - 5} \\ y = - 6 + 3x \\ y = 3x - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
76 deliveries in 4 hours
= [ deliveries per hour
Answer: 17.75 deliveries made per hour
Step-by-step explanation:
71/4 = how many deliveries made per hour.
Ran's doctor is monitoring his heart rate. The equation h=65t represents the relationship between the number of beats of his heart (h) and the number of minutes that have passed (t). If 120 seconds have passed, how many times has his heart beat?
Answer:
130 times
Step-by-step explanation:
If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130
