Answer:
45.454
Step-by-step explanation:
Find the slope of the line that passes through (10, 9) and (6, 18).
Answer:
M = -2 1/4
Step-by-step explanation:
You can use the formula y2 - y1 / x2 - x1 to get your answer.
y2 is 18 and y1 is 9. x2 is 6 and x1 is 10 so plugging that into the formula above you will get 18 - 9 / 6 - 10.
18 - 9 is 9 and 6 - 10 is -4
9/-4 = M (M is short for slope)
M = -2 1/4
Hope this worked for you.
Given $P(10,12)$ and $Q(20,36)$, find the coordinates of a point whose distance from both $P$ and $Q$ is exactly $13.$
The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
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y=1/2x+4
y=-2x+9
elmantion or substutuion method
Answer:
(2;5)
Step-by-step explanation:
Elimination:
Let's first multiply the first by 2 to clear fractions and write them both in standard form:
[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]
Eliminate x: Multiply the first by 2, then subtract the equations:
[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]
Eliminate y: Multiply the second by 2, then add equations:
[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]
Subtsitution
Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.
[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]
Then let's plug this value into a convenient one - let's say, the first - and find y from there:
[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]
If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.
solve: 9x-7≤28+4x;x€W
we have 9x - 7 ≤ 28 + 4x
⇔9x - 4x ≤ 28 +7
⇔5x ≤ 35
⇔x ≤ 7
ok done. Thank to me :>
complete the pattern 1,2,4,8___and __and __
Answer:
16, 32, and 64
Step-by-step explanation:
The number is being doubled every time.
Please help
??
:$):’jfidifkvk
Answer:
For the question a i think its b
Step-by-step explanation:
HELP ME PLEASE
A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.
Which relation is a function? (2 points)
(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)
Answer:
(serial number, model number)Step-by-step explanation:
Find the quotient. 1,329 ÷ 4
Answer:
Quotient is basically division.
Step-by-step explanation:
1329/4 is basically
332.25 is the answer
Find a
rational number between 3 and pi
Answer:
3.1
Step-by-step explanation:
can someone help me please
Answer:
a) interior angle: 156°
b) exterior angle: 24°
Step-by-step explanation:
b)The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...
360°/15 = 24°
__
a)The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...
180° -24° = 156°
_____
Additional comment
We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.
35,000 is invested at 5% compound interest.What is the interest at the end of three years
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
(X-2)(x+1)
Expand and siplify
[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]
[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]
[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]
[tex]\\ \sf\longmapsto x^2-x-2[/tex]
Please help me please help me
Answer:
C=66, C=25 1/7
Step-by-step explanation:
i
C=pi(d)
C=22/7*21
C=66
ii
C=pi(d)
C=22/7*16
C=25 1/7
Question in the picture
Answer:
X = 73, Y = 138
Step-by-step explanation:
A car accelerates
at a rate of 7 m/s2. If its
original speed is 13 m/s, how many seconds will it take the car to reach a
final speed of 62 m/s?
PLEASE SHOW WORK
Answer:
7 Seconds
Step-by-step explanation:
This is kinematics
Vf=Vi+at
t=[tex]\frac{Vf-Vi}{a}[/tex]
t=[tex]\frac{62-13}{7}[/tex]
t=[tex]\frac{49}{7} =7[/tex]
Find the unit rate for each problem
Answer:
1. 3 tacos per person
2. 8 chairs per table
3. 6 avocados per bag
Step-by-step explanation:
1. Divide 45 by 15 to get the unit rate: # of taco per person.
45 = 15x
45/15 = 15x/15
3 = x
3 tacos per person
2. Divide 72 by 9 to get the unit rate: # of chairs per table.
72 = 9x
72/9 = 9x/9
8 = x
8 chairs per table
3. Divide 42 by 7 to get the unit rate: # of avocados per bag.
42 = 7x
42/7 = 7x/7
6 = x
6 avocados per bag
Which statements about the function fare true? Check
all that apply.
The domain of f(x) is {all real numbers).
Answer:
see explanation
Step-by-step explanation:
The following statements are true
The domain of f(x) is all real numbers
The range of f(x) is all real numbers
f(2) = 4
locate x = 2 on the x- axis, go vertically up to meet the line at (2, 4 ) , then
f(2) = 4
plz help look at the pic below
Answer:
You can use the exponential rule where
[tex](n^x)^y=n^{xy}[/tex]
Therefore,
[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]
[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]
(a^m)^n=a^mn[tex]\\ \rm\leadsto a^{-6}[/tex]
[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
Solve the equation for x.
x + 13 = 22
x + -13 = 22
Reorder the terms:
-13 + x = 22
Solving
-13 + x = 22
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + x = 22 + 13
Combine like terms: -13 + 13 = 0
0 + x = 22 + 13
x = 22 + 13
Combine like terms: 22 + 13 = 35
x = 35
Simplifying
x = 35
which of the following values are solutions to the inequality 9≤3x+4
Answer:
x≤5/3
So any number at 5/3 or above is a solution
Step-by-step explanation:
Subtract 4 on both sides:
5≤3x
Divide 3 on both sides
x≤5/3
So any number at 5/3 or above is a solution
Hope this helps!
please help, this is due today:
Answer:
x = 17
Step-by-step explanation:
∠ DCE = ∠ ACE ( vertically opposite angles )
The sum of the 3 angles in a triangle = 180° , then
∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x
∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x
Equating the 2 angles
80 - x = 131 - 4x ( add 4x to both sides )
80 + 3x = 131 ( subtract 80 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
How would I graph this equation: 3x + 9y = −18
The area of a trapezoid is 65mm2, the top is
9mm long, the height is 11mm long.
Find the base of the trapezoid.
Answer:
[tex]2.\bar{81}mm[/tex]
Step-by-step explanation:
First the formula for find the are of a trapezoid is:
[tex]A = \frac{h(a+b)}{2}[/tex]
Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.
Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation
[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]
Then in the new equation replace the given values:
[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]
[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]
So the final answer is [tex]2.\bar{81}mm[/tex]
Solve the equation. Plz help.
Answer:
x=5
Step-by-step explanation:
The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.
Answer:
ui100
Step-by-step explanation:
125
The temperature of a pan of water on the stove after 5 minutes would be 40°C.
What is temperature?Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.
The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.
We need to find the temperature after 5 minutes.
Rate of temperature per minute = 8°C
Rate of temperature after 5 minutes = 8°C × 5
= 40°C
Therefore, the temperature after 5 minutes would be 40°C.
Learn more about temperature;
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Amy buys 16 envelopes for 14p each and pays with a £5 note.
How much change does she get?
Give your answer in pounds, £.
Answer:
£2.76
Step-by-step explanation:
The cost of Amy's purchase is ...
16×(£0.14) = £2.24
Her change from £5.00 is ...
£5.00 -2.24 = £2.76 . . . . Amy's change
PLS HELP NEED THIS IN 1 HOUR 25 POINTS!!!!
The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the amount of time that the money is accruing interest.
f(x) = 500(1 + 0.02)x
500
1
0.02
x
Answer:
500: starting amount
(1 + 0.02): interest/growth rate
x: time
Step-by-step explanation:
The diagram below shows two triangles.
Based on the diagram, which statements are true?
Select three that apply.
(Select all that apply.)
The two triangles are congruent since all isosceles right
triangles are congruent.
The two triangles are congruent since the corresponding
sides and angles are congruent.
The two triangles are congruent since a rotation can carry one
triangle onto the other triangle.
The two triangles are congruent since a reflection can carry
one triangle onto the other triangle.
Answer:
1st , 2nd , and 4th
Step-by-step explanation:
4,505 in expanded form