Answer:
x^2 + (y + 6)^2 = 4^2
Step-by-step explanation:
The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
If the center is at (0, -6) and the radius is 4, then the desired equation is
(x - 0)^2 + (y + 6)^2 = 4^2, or just
x^2 + (y + 6)^2 = 4^2
If a triangle has a leg with a length of 6 units and a hypotenuse with a length of 10 units, find the length of the other leg.
Answer: 8 units
Step-by-step explanation:
This can be solved using the Pythagorean Theorem:
c² = a² + b²
c is the hypotenuse
a and b are the sides
Solving for the length:
10² = 6² + b²
100 = 36 + b²
b² = 100 - 36
b² = 64
b = √64
b = 8 units
The missing side is 8 units.
which graph represents the solution to 7x < 21 or 6x -9 > 21
Answer:
There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.
Step-by-step explanation:
above
PLS HELP ME I DON'T HAVE A LOT OF TIME !!!
Answer:
d
Step-by-step explanation:
sin(20)=x/670 ????????
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
In Eduardo's collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, choose the expression that represent the number of butterflies he has.
Answer:
y = 12 + 2x
Step-by-step explanation:
Given that :
Let number of butterflies = y
Number of moths = x
y = 12 more than twice the number of moths
y = 12 + 2x
Hence, the expression which relates the number of butterflies he has is :
y = 12 + 2x
I’m so confused help pls
Step-by-step explanation:
A: n(n+1) = 72
B
n^2 + n = 72
n^2 + n -72 =0
(n+9)(n-8) = 0
please help (no links)
Answer:
EZ Excavation: y = 24.5x
Happy Hauling Service: y = 25x
Step-by-step explanation:
✔️Equation for EZ Excavation:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using any given pair of values from the table, say, (8, 196),
k = 196/8
k = 24.5
To write the equation, substitute k = 24.5 into y = kx
Thus:
y = 24.5x
✔️Equation for Happy Hauling Service:
This can be written in slope-intercept form, y = kx
Where k is the unit rate/slope/constant of proportionality
y = cost
x = dirt
Thus,
k = y/x
Using the coordinate of any point on the line, say (1, 25),
k = 25/1
k = 25
To write the equation, substitute k = 25 into y = kx
Thus:
y = 25x
A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?
Answer:
8
Step-by-step explanation:
Given data
Volume of large box= 1000cm^3
Dimension of small box
L=5cm
W=5cm
H=5cm
Volume of small box= 5^3
V=125cm^3
Hence the number of small box that can fill the large box is
=1000/125
=8
b) How many edges and vertices does a prism
with a 100-sided end face have?
edges
vertices
Find the slope of through the two points (3,4) and (-2,3).
Answer:
Slope is 1/5
Step-by-step explanation:
m = (y2 - y1)/ (x2 - x1)
m = (3-4)/(-2-3)
m = (-1)/(-5)
m = 1/5
Write the exponential expression
26 squared
Answer:
26²
Step-by-step explanation:
26 x 26 = 676
A scale drawing has a scale of 2 cm = 15 m. If the length of something on the drawing is 12 cm, what is the actual length?
Answer: 90
Step-by-step explanation:
Answer:
90m
Step-by-step explanation:
you have to cross multiply.
1) multiply (12 * 15) and multiply 2 * X)
2) you get 180 = 2x
3) to get X alone divide 180 by 2 and you will get 90meters
If the ratio of radii of two spheres is 4:7, find the ratio of their volumes.
Answer:
volume is equal to ratio
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Answer:
62 feet
Step-by-step explanation:
During a football game, the ball is placed 20 yards 2 feet from the goal line. How many feet from the goal line is the football?
Step 1
We convert 20 yards to feet
1 yard = 3 feet
20 yards = x feet
Cross Multiply
1 yard × x feet = 20 yards × 3 feet
x feet = 20 yards × 3 feet/1 yard
x feet = 60 feet
Step 2
How many feet from the goal line is the football?
This is calculated as:
20 yards 2 feet =
60 feet + 2 feet = 62 feet
Therefore, the football is 62 feet from the goal line
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
What type of real numbers are these.
find the slope of the line through each pair of points
(3,-2),(-13,-8)
Find the 60th term of the arithmetic sequence -27, -24, -21
A. g(x) = (- x)2 + 4
O B. g(x) = – x2 - 4
O c. g(x) = (- x)2 - 4
O D. g(x) = – x2 + 4
PLEASE HELP, URGENT!!!
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an
equation to determine the cost per box, b.
Is 7 a solution for the equation 3(x + 4)= 2x - (-2x)?
Step-by-step explanation:
3x+12=2x+2x
3x+12=4x
3x-4x=-12
-x=-12
x=12
Answer:
no, the answer is x = 12
Step-by-step explanation:
3(x + 4)= 2x - (-2x)
3(x + 4)= 2x + 2x
3x + 12 - 12 = 4x - 12
3x - 4x = 4x - 12 - 4x
-x = -12
x = 12
What is the solution to the equation 38.18 + x = 82.06? A. 44.88 B. 43.88 C. 56.12 D. 44.12
Answer:
A
Step-by-step explanation:
Simplify both sides x+38.18=82.06
subtract 38.18 from both sides
x+38.18-38.18=82.06-38.08
x=43.88
adult tickets cost 1.25
Child tickets cost 0.75p
you sell 80 tickets for 7500p
How many are adult tickets and how many are child tickets
Michelle baby-sits the neighbors' children. She watches the Rogers' child for $5 per hour
and the Pringles' two children for $6.50 per hour. The Rogers needed her to work
15 hours this week, while the Pringles needed her services for 25 hours.
Answer:
What is the objective to answer the question? Is it how much they will get?
For an acute angle 8, the equation sin(O) = cos(6)
is true. What is the value of 0?
Answer:
heres your answer
Step-by-step explanation:
-23 - x - x + 16 - 2
Answer:
-2x - 9
Step-by-step explanation:
Answer:
−2x−9
I hope this helps
what are the values of x and y?
write the equation of the line in slope intercept form given a table
Answer:
y=3x+1
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
the formula for slope (m) is given as (y2-y1)/(x2-x1)
we can pick any 2 points to use to find the slope. For example, let's use (2,7) and (3,10)
label the points:
x1=2
y1=7
x2=3
y2=10
now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(10-7)/(3-2)
m=3/1
m=3
the slope of the line is 3
here's our equation so far:
y=3x+b
now we need to find b (y intercept)
because the line will pass through any of the points given on the table, we can use any one of the given points to solve for b
Let's take (2,7) though since it's the first point
substitute 2 as x and 7 as y in the equation
7=3(2)+b
7=6+b
1=b
so our equation is y=3x+1
Hope this helps! :)