Answer:
not sure what the O is there for?
if it is zero then Oy would make Oy=2(x+3) not correct
3x-y = 2
y=2(x+3)
Step-by-step explanation:
)
The graph below shows the solution to which system of inequalities?
10-
TO
10
-10
Help!!
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
StartFraction S Over 2 pi r EndFraction equals h. – r = h
StartFraction S minus r Over 2 pi r EndFraction equals h. = h
S – S minus StartFraction r Over 2 pi EndFraction equals h. = h
S – S minus StartFraction 2 pi Over r EndFraction equals h. = h
Answer:
(S-2πr^2)/ 2πr = h
Step-by-step explanation:
S = 2πrh + 2πr^2
Subtract 2 pi r^2 from each side
S-2πr^2 = 2πrh + 2πr^2 -2πr^2
S-2πr^2 = 2πrh
Divide each side by 2 pi r
(S-2πr^2)/ 2πr = 2πrh/2πr
(S-2πr^2)/ 2πr = h
It is given that,
→ S = 2πrh + 2πr²
Now subtract 2πr² from the both sides,
→ S - 2πr² = 2πrh + 2πr² - 2πr²
→ S - 2πr² = 2πrh
Then divide both sides by 2πr,
→ (S-2πr²)/2πr = 2πrh/2πr
→ (S-2πr²)/2πr = h
Hence, (S-2πr²)/2πr = h is the result.
i really need someone’s help on this one asap.
Answer:
(3,-19)
Step-by-step explanation:
To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.
The y coordinate is lesser than -10 so the 4th one is wrong.
The answer is (3,-19)
Explanation:
The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.
Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.
Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.
The only thing left is choice C. It appears that the intersection point could be (3,-19).
Which of the following are remote interior angles of _1? Check all that apply.
u A. 25
I B. 26
III C. 21
D. 24
E. 23
F. 22
Answer:
angle 3
angle 2
Step-by-step explanation:
Mathematically, from the angle sum theorem of triangles, the sum of two opposite interior angles of a triangle equals the exterior angle on the third side
Now, for angle 1, it is an exterior angle for angle 4
The two other opposite interior angles that would make angle 1 is simply angles 3 and 2
What is the value of x to the nearest tenth?
A) 3.3
B) 9.5
C) 8.0
D) 4.7
Answer:
D) 4.7
Step-by-step explanation:
this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.
I assume 16 is the diameter, so the radius is 8.
therefore, x is one side of the right-angled triangle of
radius
x
half of the intersecting line
Pythagoras
8² = x² + (6.5)²
64 = x² + 42.25
21.75 = x²
x = 4.7
Ion kno this help pls?????????????
Answer:
[tex]2 {x}^{2} - x - 1 \\ 2 {x}^{2} - (2 - 1)x - 1 \\ 2 {x}^{2} + 2x - 1x - 1 \\ 2x(x + 1) - 1(x + 1) \\ (2x - 1)(x + 1)[/tex]
pls help w explanation!!
A town with a population of 5,000 is being divided
into two voting districts: District X and District Y.
The populations of the two districts must differ by no
more than 500 people. Which of the following
systems represents all possible values for the
population x of District X and the population y of
District Y?
A) x-y ≤ 500 and x+y =5,000 B) x-y =500 and x+y ≤ 5,000 C) -500 ≤ x - y ≤ 500 and x+ y =5,000 D) -250 ≤ x - y ≤ 250 and x + y = 5,000
Answer:
A is the Answer
Step-by-step explanation:
Since the population is being split up into 2 divisions out of 5,000.
This means District X and Y must add up 5000.
[tex]x + y = 5000[/tex]
District X and Y must differ no more than 500 people.
So this means that X and Y total people difference cannot be over 500 people. So the equation for this is
[tex]x - y \leqslant 500[/tex]
A shows this so A is the answer.
A boat is heading towards a lighthouse, where Riley is watching from a vertical distance of 120 feet above the water. Riley measures an angle of depression to the boat at point A to be 18 degrees . At some later time , Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary .
Answer:
313 ft
Step-by-step explanation:
It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120
The distance from point A to point B is given by the trigonometric relations and d = 313 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the first triangle be represented as ΔAOD
Let the second triangle be represented as ΔBOD
where the distance from point A to point B = d
And , Riley is watching from a vertical distance of 120 feet above the water
Riley measures an angle of depression to the boat at point A to be 18 degrees
Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees
So , ∠BOD = 25° and ∠AOD = 72°
From the trigonometric relations ,
tan θ = opposite / adjacent
tan AOD = AD / OD = tan 72°
tan 72° = 3.087
tan BOD = tan 25° = 0.47
Now , the measure of AD = 120 x 3.087 = 369.6 feet
And , the measure of BD = 120 x 0.74 = 56.4 feet
Therefore , the distance from A to B = 369.6 feet - 56.4 feet
d = 313 feet
Hence , the distance is 313 feet
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If f(x) = 2x2 + 1, what is f(x) when x = 3?
Answer:
18
Step-by-step explanation:
f(x)=2x(2+1)
f(3)=2(3)(2+1)
=6(2+1)
=12+6
=18
what is the value of x?
When a pair of parallel lines is intersected by a transversal, then
Interior opposite angles are equal.
So, (3x + 4)° = 115°
=> 3x + 4 = 115
=> 3x = 115 - 4
=> 3x = 111
=> x = 111/3
=> x = 37
Answer:
37
Step-by-step explanation:
So, if you got two parallel line, which are crossed by another line, the conterminal angles are gonna be as big as each other.
what we get outta this explanation is
3X+4=115===> 3X=111===> X=37
verify that a÷(b+c)#(a÷b)+(a÷c) for each of the following values of a=6,b=5 and c=7
Answer:
[tex]a \div (b + c) = (a \div b) + (a \div c) \\ 6 \div (5 + 7) = (6 \div 5) + (6 \div 7) \\ 0.5 = 1.2 + 0.86 \\ 0.5 = 2.06[/tex]
explain correct answer pls!!
If t = 20u and r= 5u/2 , which of the following is equivalent to 3rt, in terms of u?
A) 50u^2
B) 150u^2
C) 200u^2
D) 300u^2
Answer:
B
Step-by-step explanation:
t = 20u
r = 5u/2
3rt = 3((20u)(2.5u))
3rt = 3(50u)
3rt = 150u
The value for the expression 3rt is 50u².
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have t = 20u and r= 5u/2.
We have to find the value of 3rt by putting the value of t and r as
3rt
= 3 (5u/ 2) (20u)
= 5u x 10u
= 50 u x u
= 50 u²
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x+3=5 . Find x in the given equation
Answer:
2
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
Therefore, x=2 in the given equation
Answer:
2
Step-by-step explanation:
x+3=5
x=5-3
x=2
Hope it helps
I NEED HELP PLZ ANSWER ILL GIVE BRAINLIEST
Answer:
-3
Step-by-step explanation:
If the equation is y = -5x -3, the y intercept is -3, and the slope is -5x. The number without a variable next to it, of any sort is always the y-intercept.
Can someone help me with this math homework please!
Answer:
(B) h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
You've probably seen this function notation format before, most likely f(x). Other common ones are g(x) and p(x). The f, g, and p are just function names, like the h in this question.
The t in the parentheses is the input, because it's the same as the t in 210 - 15t.
Together, h(t) is the output, which is the exact same as y if you used the formula y = mx + b.
Hope it helps (●'◡'●)
Hhheeelllpppppppplllllzzzz
Answer:
D.
Step-by-step explanation:
Because it's shaded above both lines, both equations need a 'y >'
what is 0.7dm to nm is? please help asap
Step-by-step explanation:
0.7 decimeter =
70,000,000 nanometers
Please help! Find the length of side CD.
Answer:
The answer should be 6.63
Bd and bc form a right triangle with cd
Use the Pythagorean theorem
Cd = sqrt( 12^2 - 10^2)
Cd = sqrt( 144-100)
Cd = sqrt(44) = 2sqrt(11)
Help!!!!!!!!!!!!!!!!!!
Which represents f(x)=g
What is the value of x?
Enter your answer in the box.
Answer:
solution
Step-by-step explanation:
ADC = Sum of triangle
AD+ AC = 2.25+3 =5.25
Step 2:
BCD = Sum of acute angled triangle = a+b+
c
BCD= 2.25+4+3
BCD = 9.25
The value of x =ADC+BCD
= 5.25+ 9.25
= 14.5
What is the result of converting 60 ounces to punds remember there are 16 ounces in a pound pleasdnsjjsjs
Answer:
A. 3.75 pounds
Step-by-step explanation:
16 ounces = 1 pound
converting 60 ounces to pounds
Let x = number of pounds
60 ounces = x pounds
Find the proportion
16 / 1 = 60 / x
Cross product
16 * x = 1 * 60
16x = 60
Divide both sides by 16
x = 60/16
x = 3.75
Therefore,
60 ounces = 3.75 pounds
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive? Miles
Answer:
ok so first they drove 55 for 3 hours so
55*3=165
and then they drove 45 for 2 hours
45*2=90
165+90=255
so in total they drove 255 miles
Hope This Helps!!!
The solution is : 255 miles total miles did the Ramos family drive.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
given that,
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.
we get,
Journey before lunch:
Speed = 55 mph
Time = 3 hrs
distance = 55*3 = 165 miles.
Journey after lunch:
Speed = 45 mph
Time = 2 hrs
distance = 45 * 2 = 90 miles
Total miles driven
= distance traveled before lunch + distance traveled after lunch
= 165 miles + 90 miles
= 255 miles
Therefore, the Ramos family drove 255 miles in total.
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The temperature of a chemical solution is originally 21^\circ\text{C}21 ∘ C21, degrees, start text, C, end text. A chemist heats the solution at a constant rate, and the temperature of the solution is 75^\circ\text{C}75 ∘ C75, degrees, start text, C, end text after 121212 minutes of heating. The temperature, TTT, of the solution in ^\circ\text{C} ∘ Cdegrees, start text, C, end text is a function of xxx, the heating time in minutes. Write the function's formula. T=
Answer:
T(x) = 21 + 4.5x
Step-by-step explanation:
Given :
Original temperature = 21°C
Final temperature = 75°C
Time, x = 12 minutes
The temperature, T as a function of x, heating time in minutes :
We need to obtain the constant heating rate per minute :
Final temperature = initial temperature + (constant rate change,△t * time)
75 = 21 + 12△t
75 - 21 = 12 △t
54 = 12 △t
△t = 54 / 12
△t = 4.5°C
Hence, temperature change is 4.5°C per minute.
Hence,
T(x) = 21 + 4.5x
Answer:
T= 21+4.5x
Step-by-step explanation:
I got it right on Khan Academy
PLEASE MARK BRAINLIEST
Help me please guys
Answer:
m = 5, n = - 1
Step-by-step explanation:
Given
x² + 4x - 5
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)
The factors are + 5 and - 1 , since
5 × - 1 = - 5 and 5 - 1 = + 4 , then
x² + 4x - 5 = (x + 5)(x - 1)
with m = 5 and n = - 1
What is the value of this exspession when c=-4 and d=-10 1/4(c^3+d^2)
Answer:
2
Step-by-step explanation:
1/4(-4×3 + 10×2)
1/4(-12 + 20)
THERE ARE 2 WAYS YOU COULD SOLVE THIS!
1. 1/4( -12) + 1/4( 20) = -3 + 5 = 2
2. 1/4 ( -12+20) = 1/4(8) = 2
Answer:
[tex]9[/tex]
Step-by-step explanation:
Given:-
Expression: [tex]\frac{1}{4} (c^3+d^2)[/tex]
Value of c = [tex]-4[/tex]
Value of d = [tex]-10[/tex]
Solution:-
Add the given values in the expression, writing them inside the bracket:
[tex]\frac{1}{4} ((-4)^3+(-10)^2)[/tex]
[tex](\frac{1}{4}) ((-4)^3)+(\frac{1}{4} )((-10)^2)[/tex]
[tex]-16+25[/tex]
[tex]9[/tex]
(100 points)
4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ______________________________
4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?
a. What are they asking for?
how big was the original group?
b. identify all the necessary numbers.
28,5
c. write the equation or problem in numeric form.
x=28*5
d. solve the math.
x=140
e.write the answer
. the original group contains 140 people.
5. If he difference is 589 and the subtrahend is 339,what is the minuend?
a. What are they asking for?
what is the minuend?
b. identify all the necessary numbers.
589,339
c. write the equation or problem in numeric form.
x=589-339
d. solve the math.
x=250
e.write the answer.
minuend=250
6. If the quotient is 17 and the dividend 765, what is the divisor?
a. What are they asking for?
what is the divisor?
b. identify all the necessary numbers.
17,765
c. write the equation or problem in numeric form.
x=765/17
d. solve the math.
x=45
e.write the answer.
divisor is 45.
4. Solution
a. How big was the original group?
b. 28 and 5
c. x = 28×5
d. x = 140
e. There are 140 people in original group.
5. Solution
a. What is the minuend?
b. 589 and 339
c. x = 589-339
d. x = 250
e. The minuend is 250.
6. Solution
a. What is the divisor?
b. 17 and 765
c. x = 765/17
d. x = 45
e. Hence, 45 is the divisor.
The interior angles of a hexagon are in the ratio 1:2:3:4:5:9 Find the angles. This is an example of a concave hexagon. Write in an equation.
Answer:hope this helps.. please mark as brainliest.....
9514 1404 393
Answer:
30°, 60°, 90°, 120°, 150°, 270°
Step-by-step explanation:
Let x represent the smallest angle. Then the sum of angles of the hexagon is ...
x + 2x + 3x + 4x + 5x + 9x = 720°
24x = 720°
x = 30°
The angles are ...
30°, 60°, 90°, 120°, 150°, 270°
a rectangle consists of two identical squares with a common side. The perimeter of the rectangle is 27 inches. Find its area
Answer:
40.5 square inches
Step-by-step explanation:
Rectangle consists of two identical squares.
So, if the sides of square = x,
Then, Width of rectangle = x &
Length of rectangle = x +x = 2x
Perimeter of rectangle = 27 inches
2*(length + width) = 27
2*( 2x + x) = 27 {Combine like terms]
2* 3x = 27
6x= 27 {Divide both sides by 6}
x = 27/6
x = 4.5
Width = x = 4.5 inches
Length = 2x = 2*4.5 = 9 inches
Area of rectangle = length *width
= 4.5 *9
= 40.5 square inches
Answer:
40.5
Step-by-step explanation:
PLISSSSSSSSSSS HELP!!!!!!!!!!!
i will give brainliest..........
Answer:
125/1000hope it helps
stay safe healthy and happy...Answer:
[tex]\frac{125}{999}[/tex]
Step-by-step explanation:
Process of Elimination, the decimal is 0.125 repeating
[tex]\frac{1}{8}[/tex] as a decimal is 0.125
[tex]\frac{1}{4}[/tex] as a decimal is 0.25
(Those two should've been easy to eliminate)
[tex]\frac{125}{1000}[/tex] as a decimal is 0.125 (since there are three zeros in the denominator, you move the decimal three spots to the left.)
This leaves us with:
[tex]\frac{125}{999}[/tex] If you divide 125 ÷ 999 you get 0.125125125...
Hope this helps Stay safe:)
