Answer:
(x - 2)² + (y - 6)² = 49
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (2, 6) and radius = 7
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 2)² + (y - 6)² = 49
the Sims family drove 5 miles to the store and 3 miles to their grandparent's house. How
many yards did they drive in all?
Answer:
yards: 14080
miles: 8
that's basically it
Answer:
14080 yards
Step-by-step explanation:
A yard is 1/1760 mile, meaning 1 mile = 1760 yards.
5 miles + 3 miles = 8 miles
8 miles to yards = ?
8 x 1760 = 14080.
The Sims family drove 14.08k yds or 14080 yards.
Find the value of x.
R
(2x + 3)^
25°
Q
S
(3x – 17) 10
(
O
Answer:
10
Step-by-step explantion
Simplifying
2x + 3 + 25 = 3x + -17
Reorder the terms:
3 + 25 + 2x = 3x + -17
Combine like terms: 3 + 25 = 28
28 + 2x = 3x + -17
Reorder the terms:
28 + 2x = -17 + 3x
Solving
28 + 2x = -17 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
28 + 2x + -3x = -17 + 3x + -3x
Combine like terms: 2x + -3x = -1x
28 + -1x = -17 + 3x + -3x
Combine like terms: 3x + -3x = 0
28 + -1x = -17 + 0
28 + -1x = -17
Add '-28' to each side of the equation.
28 + -28 + -1x = -17 + -28
Combine like terms: 28 + -28 = 0
0 + -1x = -17 + -28
-1x = -17 + -28
Combine like terms: -17 + -28 = -45
-1x = -45
Divide each side by '-1'.
x = 45
Simplifying
x = 45
Answer:
x = 45Step-by-step explanation:
Exterior angle is same as sum of two remote interior angles:
2x + 3 + 25 = 3x - 172x + 28 = 3x - 173x - 2x = 28 + 17x = 45What is an equation of the line that passes through the points (-4, -2) and (-8, 3)?
Answer:
[tex]y = -\frac54x -7[/tex]
Step-by-step explanation:
Slope:
[tex]\frac{3 - (-2)}{-8 - (-4)}[/tex][tex]-\frac{5}{4}[/tex]Y-intercept:
[tex]y = -\frac54x + b\\[/tex][tex]-2 = -\frac54(-4) + b[/tex][tex]-2 = 5 + b[/tex][tex]b=-7[/tex]y = -5/4x -7
-Chetan K
The difference between 32 and 7 times a number is 2.
Answer:
x=4.285714286
Step-by-step explanation:
Let the number be x
Now we have,
→ [tex]32-7x=2\\\\[/tex]
→ [tex]32-2=7x\\\\[/tex]
→ [tex]30=7x\\[/tex]
→ [tex]x=\frac{30}{7} \\[/tex]
→ x=4.285714286
What is the difference between-4 and 62
-10
-2
2
10
Answer:
-10
Step-by-step explanation:
if negative meets a negative its gone come out as a positive
Translate and solve: 3884.4 is what percent of 46.8?
Answer:
3884.4 is what percent of 46.8 is 8300
Hey Guys, Please help me I decided to lesson the questions
Answer:
Step-by-step explanation:
im pretty sure its the 1st one
please check this. I suck at math.
Problem 1
You have the correct y value, but it refers to pizzas (not salads).If you need to convert to a mixed number, then follow these steps.
27.2 = 27 + 0.2
27.2 = 27 + 1/5
27.2 = 27 & 1/5
27.2 pizzas is the same as 27 & 1/5 pizzas. In other words, you have 27 whole pizzas plus 1/5 of an extra one.
===========================================
Problem 2
This is correct.The decimal 1.75 converts to the mixed number 1 & 3/4 because of the steps below.
1.75 = 1 + 0.75
1.75 = 1 + 3/4
1.75 = 1 & 3/4
In my opinion, it is optional to convert to a mixed number for either problem 1 or problem 2. So you can stick with 1.75 as the answer if you want.
===========================================
Problem 3
16 & 3/4 = 16 + 3/4 = 16 + 0.75 = 16.75
To get the unit rate, which is the cost per unit, we divide the total cost over the amount.
cost/amount = (2.89)/(16.75) = 0.1725373
which is approximate.
Round to the nearest penny to get a unit cost of $0.17 per fluid ounce, i.e. a unit cost of 17 cents per fluid ounce.
Answer: $0.17 or 17 cents===========================================
Problem 4
We follow the same idea as problem 3.
4 & 3/5 = 4 + 3/5 = 4 + 0.6 = 4.6
unit cost = (total cost)/(amount)
unit cost = (7.56)/(4.6)
unit cost = 1.643478 dollars approximately
unit cost = 1.64 dollars approximately
Answer: $1.64===========================================
Problem 5
6 & 1/2 = 6 + 1/2 = 6 + 0.5 = 6.5
Like before, we'll divide the total cost over the total amount.
unit cost = (total cost)/(amount)
unit cost = (8.22)/(6.5)
unit cost = 1.264615 dollars approximately
unit cost = 1.26 dollars approximately
Answer: $1.26===========================================
Here's another way to look at the unit cost or unit rate.
Notice in problem 5 it says "cost per yard". This is the same as "cost per 1 yard" or "cost for each yard".
We can express the given info as the ratio
6.5 yards:$8.22
Now we want the "6.5 yards" to become "1 yard" to achieve the unit rate.
So we'll divide both parts by 6.5
6.5 yards:$8.22
6.5/6.5 yards:$8.22/6.5
1 yard: $1.26 approximately
For each yard, we'll spend $1.26
Problems 3 and 4 follow similar ideas. So this is why we divided the total cost over the total amount.
Which measurement is a reasonable length for 3 new pencils laid end-to-end?
A) 3 inches
B) 18 inches
C) 13 feet
D) 8 feet
A tank has length 6m, breadth 5m and height 3m.Find the volume of the tank.If it is full of water, Find the volume of water in litres.
Solution:
Given:
Volume of tank = Length x Breadth x HeightLength = 6mBreadth = 5mHeight = 3mLet's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.
Volume of tank = Length x Breadth x Height=> Volume of tank = 6 x 5 x 3=> Volume of tank = 90 m³Now, let's convert meters into liters.
1 cubic meter = 1000 liters=> 90 m³ = 1000 x 90=> 90 m³ = 90000 litersHoped this helped!
Ted is installing lighting in a new block of 12 apartments . He will need 60 metres of cable for each apartment. Each mew spool holds 100 metres of cable . What is smallest number of new spools that Ted will need for his job
Answer: 8 spools
Step-by-step explanation:
There are 12 apartments, and each apartment will need 60 meters of cable, so 12×60= 720 meters of cable needed.
If each spool only has 100 meters and he needs 720 meters, then 720÷100= 7.2. So he would need to purchase at least 8 spools, and will have 80 meters left over.
1
Enter the correct answer in the box
Rewrite this logarithmic equation as an exponential equation
log, 18 = 3
Answer:
[tex]18=2^x[/tex]
Step-by-step explanation:
[tex]log_2(18)=x\\\\2^{log_2(18)}=2^x\\\\18=2^x[/tex]
2) What is the most precise name for a quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), D(5,2)?
parallelogram
rhombus
quadrilateral
rectangle
3) What is the most precise name for a quadrilateral ABCD with vertices A(4,4), B(5,8), C(8,8), D(8,5)?
square
rhombus
kite
parallelogram
Answer:
2 rhombus
3 parallelogram
What is the slope of the line in the graph?
Answer:
[tex] \frac{ - 2 - 1}{4 - 0} \\ \\ \frac{ - 3}{4} \\ \\ \frac{3}{ - 4} [/tex]
A farmer's truck is carrying 42/3 tons of hay and straw. If 325 tons of the load is
hay, how much straw is the truck carrying??
Answer:
1[tex]\frac{4}{15}[/tex] of straw
Step-by-step explanation:
The total amount of straw and hay together is, [tex]4 \frac{2}{3}[/tex].
and the total amount of hay alone is, [tex]3\frac{2}{5}[/tex]
All you need to do is subtract the hay from the total, which gives you, the answer above.
What is the total amount that Matthew’s bank will receive after lending him$8,000 for four years at an interest rate of 6 percent, compounded annually?
A triangle has a perimeter of 66 feet. If the three sides of the triangle are n, 3n+3, and 4n - 9, what is the length of each side?
Separate multiple entries with a comma.
Answer:
9, 30, 27
Step-by-step explanation:
To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.
So, we must add the sides to get 66 feet.
n+3n+3+4n-9=66
Combine like terms, and solve:
(n+3n+4n)+(3+-9)=66
8n+-6=66
8n-6=66
n=9
So if n=9, we can easily find the value of the other sides.
3(9)+3=30 feet.
4(9)-9=27 feet
So, the sides are 9, 30, and 27 feet (in order).
help me with this pleasee
Verify trigonometric identiy
Answer:
see explanation
Step-by-step explanation:
Using the identity
cos²Θ = 1 - sin²Θ
Consider the left side
sin²Θ - cos²Θ
= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1
= sin²Θ - 1 + sin²Θ
= 2sin²Θ - 1
= right side , thus verified
help geometry test is coming up and teacher hasn’t taught anything yet,(80% of grade)
Answer: I think it’s 647.96
Step-by-step explanation:
warning: this is not the exact value (it’s rounded)
First you find the height of the traingle
To do that, do pythagoras theorem
square root 36 squared minus 25.5 squared
then use formula for area of a triangle
A fishing supply store buys fishing rods for $11 and sells them at a markup of 220% One day, they decide to put the rods on sale and
mark them down by 20%
What is the sale price of a fishing rod?
$35.20
$28.16
$19.36
$7,04
Answer:28.16
Step-by-step explanation:
A markup of 220% would bring 11 to 35.20, and a mark down of 20% would bring 35.20 to 28.16.
Your'e Welcome (ФДФ) .
2.2,
Write the ratio 1 2/3: 2 2/3 in the simplest form.
,
Answer:
1:2
Step-by-step explanation:
this would be the answer as 1 2/3: 2 2/3 are the same as 1:2 if you cancel out the 2/3 from both sides.
Answer:
5 : 8
Step-by-step explanation:
1 [tex]\frac{2}{3}[/tex] : 2 [tex]\frac{2}{3}[/tex] ( change both mixed numbers to improper fractions )
= [tex]\frac{5}{3}[/tex] : [tex]\frac{8}{3}[/tex] ( multiply both parts by 3 to eliminate the fractions )
= 5 : 8
E Homework: 2.3 Linear Inequalities
Question 14, 2.3.101
Part 1 of 2
Assume that in 2005 consumers used credit and debit cards to pay for 43% of all purchases. This percentage is projected to be 58% in 2011.
(a) Find a linear function that models the data, where x is the year and P(x) is the percentage.
(b) Estimate when this percentage was between 48% and 53%.
(a) P(x) =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
Linear functions are functions that change at a constant rate
The linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]
The equation of the linear functionFrom the question, we have the following ordered pairs
(x,P(x)) = (2005,43%) and (2011,58%)
Start by calculating the slope (m)
[tex]m = \frac{P(x2) - P(x1)}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{58\% - 43\%}{2011 - 2005}[/tex]
Evaluate the differences
[tex]m = \frac{15\%}{6}[/tex]
Evaluate the quotient
[tex]m = 2.5\%[/tex]
The linear function is then calculated as:
[tex]P(x) = m(x - x_1)+ P(x_1)[/tex]
So, we have:
[tex]P(x) = 2.5\%(x - 2005) + 43\%[/tex]
Rewrite as:
[tex]P(x) = 0.025(x - 2005) + 0.43[/tex]
This gives
[tex]P(x) = 0.025x -50.125 + 0.43[/tex]
[tex]P(x) = 0.025x -49.695[/tex]
Hence, the linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
Choose the equation of the line in slope-intercept form.
Parallel to y = 3x - 1 and has the point (-2,-1).
A. y = -1/3x + 2
B. y = -1/3x + 5
C. y = 3x + 5
D. y = 3x + 2
answer:
y = 3x + 5
steps-explanation:
given sample equation:
y = 3x - 1comparing to the formula of slope intercept form: y = mx + b
[ where m is the slope and b is the y-intercept ]
we can determine here that the slope is 3 and -1 is the y-intercept.
but here we need only the slope.
in parallel, the slope is same: 3
formula:
y - y1 = m(x - x1)using the formula: [ here known that y1 is -1 and x1 is -2 ]
y - -1 = 3(x - -2)y + 1 = 3x + 6y = 3x + 5You have $50 in savings. Two months later, you have $80. After the third month, you have $95. You plan to continue to save the same amount each month. What will be in saving after 12 months?
Answer:
230
Step-by-step explanation:
multiply 12 by 15 and add it onto the 50 to get your answer!
Have a good day!
53 fl oz = c
A. 6
B. 6 5/8
C. 13 1/4
D. 424
Answer:
Option B
Step-by-step explanation:
Given the following question:
53 oz = c?
[tex]1c=8oz[/tex]
[tex]53\div8=6.625[/tex]
[tex]6.625=\frac{6625}{1000}\div125=\frac{53}{8}[/tex]
[tex]\frac{53}{8} =53\div8=6\frac{5}{8}[/tex]
[tex]=6\frac{5}{8}[/tex]
Your answer is option B or "6 5/8 cups."
Hope this helps
HELP FAST PLSSSSSSSSSSSSSS
the answer is just 50° for both
Please please help f(x)7x1/5+6
Answer:
third answer
Step-by-step explanation:
solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x
NEED HELP ASAP!
Of the rocks in a box, 1/3 are igneous, 60 are
metamorphic, and the remaining 40% are sedimentary.
How many rocks are in the box?
1= 160
2= 180
3= 200
4= 225
Determine all solutions to the equation 1 over sine theta equals 2 times sine theta on the interval [0, 2π).
The solution to the trigonometric equation in the interval is given by:
[tex]x = \frac{\pi}{4}[/tex]
What is the trigonometric equation?In this problem, the equation is given by:
[tex]\frac{1}{\sin{\theta}} = 2\cos{\theta}[/tex]
Applying cross multiplication, we have that:
[tex]2\sin{\theta}\cos{\theta} = 1[/tex]
Applying a trigonometric identity, we have that:
[tex]\sin{2x} = 1[/tex]
We have that on the interval [0, 2π), [tex]\sin{\left(\frac{\pi}{2}\right)} = 1[/tex]
Hence:
[tex]\sin{2x} = 1[/tex]
[tex]\sin{2x} = \sin{\left(\frac{\pi}{2}\right)}[/tex]
[tex]2x = \frac{\pi}{2}[/tex]
[tex]x = \frac{\pi}{4}[/tex]
For [tex]\frac{3\pi}{4}[/tex], we have that:
[tex]\sin{2x} = \sin{\left(\frac{3\pi}{2}\right)} = -1[/tex]
Hence only the first solution is correct.
More can be learned about trigonometric equations at https://brainly.com/question/24680641