Answer:
x² = 30 - (y-5)²
x² = 30 - [y² - 10x + 25]
x² = 30 - y² + 10x - 25
x² = -y² + 10x + 5
B
Calculate the area of the shaded region
Area of triangle = 1/2 x base x height:
Area of triangle = 1/2 x 14 x 5 = 35
Area of square = 2 x 2 = 4
Shaded area = 35-4 = 31 cm^2
round the prices to the nearest dollar. use the rounded prices to estimate the total bill. Crackers $1.28, Cheese $8.92, Jam $ 3.77, Butter $9.34.
Answer:
Crackers $1
Cheese $9
Jam $4
Butter $9
1+9+4+9
= $23
Add and subtract fraction
Answer:
1. 23/20 or 1 whole and 3/20
2. 3/10
3. 4/3 or 1 whole and 1/3
4. 1/15
5. 1/2
6. 3/10
2 people can make 2 bicycles in hours.How many people are needed to make 12 bicycles in 6 hours.
Answer:
12 people are needed to build 12 bikes in 6 hours
Point T is on line segment \overline{SU} SU . Given SU=4x+1,SU=4x+1, TU=3x,TU=3x, and ST=3x-1,ST=3x−1, determine the numerical length of \overline{SU}. SU
Answer:
The numerical length of SU =
5 units
Step-by-step explanation:
Here, we want to get the length of point SU
mathematically;
SU = ST + TU
4x + 1 = 3x -1 + 3x
4x + 1 = 6x - 1
6x-4x = 1 + 1
2x = 2
x =2/2 = 1
But SU = 4x + 1 = 4(1) + 1 = 5 units
Answer:
10
Step-by-step explanation:
DeltaMth answer 2021
A property insurance policy is issued at a total cost of $2,540 for 6 months. If the insurance company offers a one-time $50 rebate, what is the cost per month?
Answer:
$431.67
Step-by-step explanation:
Let
The one time $50 rebate be for the first month
Cost of insurance per month = x
First month cost of insurance = x-50
Total cost of insurance = $2,540
Total cost of insurance = 1st + 2nd + 3rd + 4th + 5th + 6th
2,540 = x-50 + x + x + x + x + x
2540 + 50 = 6x
2590 = 6x
Divide both sides by 6
x= 2,590 / 6
= 431.67
x= $431,67
The cost of the insurance per month = $431.67
Check:
$431.67 * 6 months
=$2,590.02
Minus one time rebate of $50
= $2,590.02 - $50
= $2,540.02
Approximately
$2,540
find the distance between points (2,5) and (-2,2)
Answer:
5
Step-by-step explanation:
Let :
x(1) be 2
y(1) be 5
x(2) be -2
y(2) be 2
We know that distance between any 2 points is equal to:-
[tex] \sqrt{{(x(2) - x(1) )}^{2} + ({y(2) - y(1))}^{2} } [/tex]
So using the above formula ,
[tex] \sqrt{ {( - 2 - 2)}^{2} + {(2 - 5)}^{2} } [/tex]
[tex] = > \sqrt{ {( - 4)}^{2} + {( - 3)}^{2} } [/tex]
[tex] = > \sqrt{16 + 9} [/tex]
[tex] = > \sqrt{25} = 5[/tex]
if h (x) = -4x^2 + 3x + 10, find h (-2)
Answer: -12
Step-by-step explanation:
Input -2 into the function for where you see x and solve to find out what h(-2) is
h(-2) = -4(-2)^2 + 3(-2) +10
h(-2) = -4(4) -6 + 10
h(-2) = -16 -6 +10
h(-2) = -22 + 10
h(-2) = -12
Compute the scale factor of the new scale drawing (SD2) to the first scale drawing (SD1) using the information from the given scale drawings.
Answer:
a) 1/48
b) 36/1
Step-by-step explanation:
The scale factor from 2nd to 1st is the ratio of the scale factors.
(a) (1/280)/(6/35) = (1/280)(35/6) = 35/(35·8·6) = 1/48
__
(b) (3)/(1/12) = 3·12/1 = 36/1
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.
Answer:
each kid gets 9 pieces
Step-by-step explanation:
2 buckets an 800 balls how many ball will fit in each bucket
Answer:
400 balls in each bucket
Step-by-step explanation:
800 (balls) divided by 2 (buckets)
Answer:
do 800/2
Step-by-step explanation:
could someone help me with this maths question?
Answer:
x=69° ,y=69° is the answer
Step-by-step explanation:
Hope it is helpful for you
please follow me
Answer: X = 69° and Y = 111°
Step-by-step explanation: X is a z-angles which makes it the same as the given angles. Y is a corresponding angle which makes it the same as the above angle 111°.
A pizza store office three special pizza special number one is a square pizza with a side length of 14.8 inches that cost is $15 special number two is a round pizza with diameter 13 in that cost $12 special three is rectangler Pizza with length square root of 4 inches in width 200 square root inches that cause somebody to dollar switch special is the best deal and the worst deal
Answer:
the 1st pizza is the better deal
Step-by-step explanation:
evaluatethe expression (-0.3)^4. what is the value of the expression
Answer:
(-0.3)^4 = 0.0081
Step-by-step explanation:
The moon is 250,000 miles away. How many inches is it away from earth?
Answer:
the moon is 15,840,000,000 inches away
Step-by-step explanation:
The distance of the moon from the earth in inches is 1583926.56 ×10⁴ inches.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here, The moon is 250,000 miles away. How many inches and
we know that 1 mile =63357.0626 miles
Thus 250000 mile = 1583926.56 ×10⁴
Hence, The distance of the moon from the earth in inches is 1583926.56 ×10⁴ inches.
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what is the answer for this question? number 5 and 6
Answer:
The answer to question 5 is x = 23. The answer to question 6 is x = 17.
Step-by-step explanation:
Two Key Points:
- Angles on a straight line always add up to 180°
- The angles in the inside of a triangle add up to 180°
I have attached a picture showing how to do the two problems. I hope this helps!
Given segment CE and point D that lies on CE, find CD if CE = 15, CD = 30 + 3x, and ED = 25 + 2x
Rewrite this formula to convert Fahrenheit to Celsius. F= 9/5C + 35
Answer:
[tex] \huge \purple { \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]
Step-by-step explanation:
I the given problem, there should be 32 in place of 35.
[tex]F = \frac{9}{5} C + 32 \\ F - 32= \frac{9}{5} C \\ 5( F - 32)= 9 C \\ \frac{5}{9} ( F - 32)=C \\ \\ \huge \red{ \boxed{ C = \frac{5}{9} ( F - 32)}}[/tex]
what is the answer to this?
[tex]3.14(7) \div 3 + 512 \div 24[/tex]
. Look at the figure. Which ray is opposite of DE ?
What is the slope of the line that contains these points? x| -7. -6. -5. -4 ------------------------------------------------------------- y| 21. 17. 13. 9
Answer:
-4Step-by-step explanation:
Given the line containing the points.
x | -7. -6. -5. -4
y | 21. 17. 13. 9
The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁
Using the coordinates y (21, 17) and corresponding value of x(-7, -6)
y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6
Substituting the values into the formula for calculating the slope, we have;
m = Δy/Δx = 17-21/-6-(-7)
m = -4/-6+7
m = -4/1
m = -4
Hence the slope of the line that contains these points is -4
Can someone please help me with this problem? In the picture down below. WILL MARK BRAINLIEST!!!
Answer:d
Step-by-step explanation:
Answer: The answer would be D.
Step-by-step explanation: When you add 2 5/6 to 7/4, you get 55/12. Turn 55/12 into a mixed number, and you get 4 7/12.
Owen bought 7 pounds of bananas for
$8.75. Olive bought 10 pounds of
grapes for $12. How much lower was
Olive's unit rate than Owen's unit rate?
Answer:
$0.05/lb
Step-by-step explanation:
What Owen paid, per pound: ($8.75) / (7 lb) = $1.25/lb
What Olive paid, per pound: ($12) / (10 lb) = $1.20/lb
Olive's unit rate was $0.05/lb lower than Owen's.
Which can be used to prove that lines are parallel? 1.Vertical Angle Theorem 2.Alternate Interior Angles Theorem 3.Converse of Corresponding Angles Postulate 4.Converse of Same-Side Interior Angles Theorem
Answer:
4. Converse of Corresponding Angles Postulate
Step-by-step explanation:
There are several theorems to prove line relationships in plane geometry.
The proof of parallel lines is done by
(3) Converse of Corresponding Angles Postulate(4) Converse of Same-Side Interior Angles TheoremTo prove that lines are parallel, we make use of the concept of line transversal.
The vertical angle theorem is based on two lines intersecting at a point
The alternate interior angle theorem is used to determine the congruence of angles in a transversal of parallel lines
The converse of corresponding angles postulate, and the converse of same-side interior angles theorem are used to determine if lines are parallel based on the angles on the transversal.
Hence, the true options are (3) and (4)
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Shawna is making smoothies. The recipe calls for two parts yogurt to three parts blueberry. Shawna wants to make 10 cups of smoothie. Mix how many cups of yogurt and blueberries does Shawna need
Answer:
Shawna needs a mix of 4 cups of yoghurt and 6 cups of blueberries
Step-by-step explanation:
Here, we want to know the number of cups of yoghurt and smoothies Shawna needs to make;
We have 2 parts yoghurt and 3 parts blueberry, so we can say we have a ratio of 2:3
The total number of cups to be made is 10
So the number of cups of yoghurt will be;
2/(2+3) * 10
= 2/5 * 10 = 4 cups
The number of cups of blueberry would be;
3/5 * 10 = 6 cups
So a mix of 4 cups of yoghurt and 6 cups of blueberries is needed by Shawna
is 0.375 irrational or rational
I really need help on this. >.
Answer:
∠ D = 48°
Step-by-step explanation:
Since AC ~ BC then Δ ABC is isosceles and the base angles are equal, thus
∠ B = ∠ C = 69°, then
∠ ACB = 180° - (69 + 69)° = 180° - 138° = 42° ( sum of angles in Δ )
∠ DCE = ∠ ACB = 42° ( vertical angles )
∠ D = 180° - (90 + 42)° = 180° - 132° = 48°
The tables show linear functions representing the cost per hour to rent a bicycle and the cost per hour to rent in-line skates. Bicycle per Hour In-Line Skates per Hour Which function has the greater slope and what does it represent? The in-line skate function has the greater slope, which shows that the cost per hour is greater than that of the bicycles The in-line skate function has the greater slope, which shows that the cost per hour is less than that of the bicycles. The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates. The bicycle function has the greater slope, which shows that the cost per hour is less than that of the in-line skates.
Answer:the bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
Step-by-step explanation:
The function has the greater slope and it represent : The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
What are linear functions?
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
What is slope?The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
According to the question
The cost per hour to rent a bicycle and the cost per hour to rent in-line skates are given .
We will conclude which function has the greater slopes
if any function have greater slope than other that implies that it have greater change in y axis in comparison to other
as over here
y axis = cost
x axis = hours
Therefore,
The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
Hence, The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates
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reagan earned an 88% on her first test and a 80% on her second test. what is her average score?
Answer:84
Step-by-step explanation:88+80=168
168/2=84
Pls help I need this ASAP
Answer:
m<2=35 M<3=55
Step-by-step explanation:
When looking at this problem the 4 and 2 angles are the same because of opposite side and then you just subtract 35 from 90 which gives you 3