Step-by-step explanation:
— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .
What is the equation of the following line? Be sure to scroll down first to see
all answer options
(0,0)
2,-8)
O A. y=-4x
O B. y = 8x
O C. y=-x
D. y = 8
O E. y = 4x
O F. y = 18
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = [tex]\frac{-8-0}{2-0}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4
The line crosses the y- axis at (0, 0) ⇒ c = 0 , then
y = - 4x + c , that is
y = - 4x → A
The equation of line passes through the points (0, 0) and (2, -8) will be;
⇒ y = - 4x
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 0) and (2, -8).
Now,
Since, The equation of line passes through the points (0, 0) and (2, -8).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 8 - 0) / (2 - 0)
m = - 8 / 2
m = - 4
Thus, The equation of line with slope - 4 is,
⇒ y - 0 = - 4 (x - 0)
⇒ y = - 4x
Therefore, The equation of line passes through the points (0, 0) and
(2, -8) will be;
⇒ y = - 4x
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Which fraction is the largest? 7/9 3/4 1/2 2/3
Rewrite the fractions as decimals by dividing:
7/8 = 0.7777
3/4 = 0.75
1/2 = 0.5
2/3 = 0.666
0.777 is the largest number so 7/9 is the largest fraction.
Answer: 7/9
Answer:
2/3
Step-by-step explanation:
L.C.M:36
7/9:28/36
3/4:27/36
1/2:1836
2/3:36/36
If x < 0 and y < 0, what guadrant is the point (x, y) located
Answer: Third quadrant
This can be written as Q3 or QIII
This quadrant is in the southwest.
===========================================
Explanation:
There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.
The first quadrant Q1 is located in the northeast where x > 0 and y > 0. Both x and y are positive together. An example point from this region would be something like (5,2)The second quadrant, Q2 or QII, is in the northwest. An example point from here is (-5,2). We can see that x < 0 and y > 0.The third quadrant (Q3) is where both x and y are negative. So x < 0 and y < 0. An example point would be (-5,-2). This quadrant is in the southwest.Finally, if x > 0 and y < 0, then we're in the southeast quadrant Q4. An example point is (5,-2)As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.
Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).
PLEASE HELP PLEASE!!!!! NO LINKS!!!
Answer:
Step-by-step explanation:
a) profits = 30,000 + (30,000 * .05 * years)
P(y) = 30,000 + 1500y
b) P(15) = 30,000 + 1500*(15)
P(15) = 52,500
Angle A and angle B are supplementary. If the measure of angle B is one-third the measure of angle A, what is the measure of angle B?
E. 22.5°
F. 45°
G. 67.5°
H. 135°
Answer:
vertically opposite angles
Step-by-step explanation:
supplementaries angles
The measure of angle B is 45° since option F. is correct in the given question.
What do we mean by supplementary angles?Any two angles (say X & Y), are said to be supplementary when their summation (X + Y) is equal to 180°.
How to determine Angle B?Angle A and Angle B are supplementary, which implies A+B=180°.
Angle B is one-third angle A, which implies
[tex]B=\frac{1}{3} A[/tex]
or, 3B = A
Using the value of A in the previous equation, we get 3B + B = 180°.
4B = 180°
or, B = 45°.
Thus, the measure of angle B is 45°. The correct answer is option F.
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If U={a,b,c,d,e,f,g,h,} A={a,b,c,d} B={a,e,h}. Then verify the relation AUB
Answer:
U={a,b,c,d,e,f,g,h}
A={a,b,c,d}
now,
AUB= {a,b,c,d,e,f,g,h} U {a,b,c,d}
= {a,b,c,d,e,
ok,this question is wrong btw ,I think I stead of U(universal set) it is B
Does (-54, -90) make the equation y = x - -36 true? yes no
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, What will her account balance be then?\
answer pls
Answer: $15
Step-by-step explanation:
-$50 + $75 = $15
If 12 + 6n is 20 percent bigger than k, what is k? 12 + 6n A. 5 B. 10 + 5n C. 2 +n 6(12 +6n) D. 5 E. 20 + 10n
Answer:
k*1.2=6n+12
k=5(n+2)
2x+6=x-4
Solve this equation
The solution and answer are well written in the Pic above.
Answer:
x = 2
Step-by-step explanation:
2x + 6 = x -4
Subtract 6 from both sides
2x = x - 4 +6
2x = x + 2
Subtract 'x' from both sides
2x - x = 2
x = 2
I have a goal of getting exactly $100. But I have to pay a tax of 10%. How much money do I need to get in order to have exactly $100 after paying tax? Explain your answer please.
=======================================================
Explanation:
Let's say you earn x dollars.
You pay 10% tax on that, which means you pay 0.10x dollars.
This would drop to x-0.10x = 0.90x which is the amount earned after tax.
So you pay 10% of what you earn, and keep 90% of the rest.
Set this equal to the target $100 you want and solve for x.
0.90x = 100
x = 100/0.90
x = 111.11
Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.
How many numbers? How many numbers are there from 421 to 430? How many numbers are there from 567 to 573? How many numbers are there from 890 to 898?
what method you used to find out the numbers between one number and another
Answer:
9,6,8 but if you mean like all the numbers its infinite because you can add decimals and the number will never end
if the parent function is y=3^x, which is the function of the graph?
1) y=3^(x-4)-2
2) y=3^(x+4)+2
3) y=3^(x-4)+2
4) y=3^(x+4)-2
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
Someone tell me where everyone is going right please !!
Answer:
1. 3rd option
2. 4th option
3. 1st option
4. 2nd option
5. 2nd option
Step-by-step explanation:
1.
on changing the signs of an equality the sign gets reveresd
-6 < -2x
6 > 2x
3 > x
2.
2x - 3 > 11 - 5x
adding 5x and 3 to both sides and combining like terms(2x + 5x) + (-3 + 3) > (11 + 3) + (-5x + 5x)
7x > 14
x > 2
put of all the options x = 4 is a value greater than 2 thus satisfying the condition.
3.
6k + 10. 5 = 3k + 12
subtracting 3k and 10.5 from both the sides while combining like terms(6k - 3k) + (10.5 - 10.5) = (3k - 3k) + (12 - 10.5)
3k = 1.5
k = 0.5
4.
y + 3 = -y + 9
adding y and subtracting 3 from both sides(y + y) + (3 - 3) = (-y + y) + (9 - 3)
2y = 6
y = 3
5.
-9x + 1 = -x + 17
adding x and subtracting 1 from both sides
(-9x + x) + (1 -1) = (-x +x) + (17 -1)
-8x = 16
multiplying the equation by -1
8x = -16
diving both sides by 8
x = -2
Answer:
[tex]1. \: \: x < 3[/tex]
[tex]2. \: \: 2[/tex]
[tex]3. \: \: k = 0.5[/tex]
[tex]4. \: \: y = 3[/tex]
[tex]5. \: \: x = 12[/tex]
Step-by-step explanation:
[tex]1. \: \: - 2(5 - 4x) < 6x - 4 \\ - 10 + 8x < 6x - 4 \\ - 10 + 2x < - 4 \\ 2x < 6 \\ x < 3[/tex]
[tex]2. \: \: 2x - 3 > 11 - 5x \\ 7x - 3 > 11 \\ 7x > 14 \\ x = 2[/tex]
[tex]3. \: \: 6k + 10.5 = 3k + 12 \\ 3k + 10.5 = 12 \\ 3k = 1.5 \\ k = 0.5[/tex]
[tex]4. \: \: y + 3 = - y + 9 \\ 2y + 3 = 9 \\ 2y = 6 \\ y = 3[/tex]
[tex]5. \: \: - 9x + 1 = - x + 17 \\ - 8x + 1 = 17 \\ - 8x = 16 \\ x = - 2[/tex]
Hope it is helpful....What conclusion would be true given the hypothesis?
Answer:
4th option
Step-by-step explanation:
If ∠ 1 = ∠ 2 = ∠ 3
Then ∠ 1 = ∠ 3 is true
Answer:
The second one the measure of angle?1 is less then angle 3 is the correct answer.
Which number line represents the solutions to -2x = -6?
Answer:
3
Step-by-step explanation:
-2x = -6
or, x = -6 / -2
or, x = 3
a_(n)=7n-1 9 ( what is the fourth term)
PLEASE HELP ASAP.
Answer:
Fourth term of given arithmetic progression a(4) = 30
Step-by-step explanation:
Given incomplete information:
a(n) = 7n - 1 9
Assume Correct information:
a(n) = 7(n - 1) + 9
Find:
Fourth term of given arithmetic progression
Computation:
Fourth term of given arithmetic progression = a(4)
So,
Number of term (n) = 4
So,
a(n) = 7(n - 1) + 9
a(4) = 7(4 - 1) + 9
a(4) = 7(3) + 9
a(4) = 21 + 9
a(4) = 30
Fourth term of given arithmetic progression a(4) = 30
Ayudenme con esto porfavoor
Figura 1 = ⅓
Figura 2 = ½
Figura 3 = 4/7
Figura 4 = 4/9
↦ Count all the shaded regions (for numerator) & all the parts of the figure (for denominator).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
A rectangle has an area of 32 square millimeters. The length of the rectangle is 888 millimeters. What is the width of the rectangle?
Answer:
0.036
Step-by-step explanation:
See image below:)
the area is 32 and the length is 888
you use the formula w= a/l
so a= 32 and l= 888
The width is 0.036mm.
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
Here, given that,
the area is 32 and the length is 888
We use the formula w= A/l
so, A= 32 and l= 888
Then, width= w= 32/888
=0.036 mm.
Hence, width is 0.036mm
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use the quadratic formula to solve x^2 + 3^x - 28 = 0
Step-by-step explanation:
x^2 + 3x - 28 = 0
x^2 - 7x + 4x - 28 = 0
x(x-7) + 4(x-7) = 0
(x+4)(x-7)= 0
x+4=0 or x-7=0
x= -4 or x=7
If px-3+qx+1=2x+3,Find the value of p+q
The elevation of a city is 2633 feet above sea level.
Write a signed number to represent this elevation
Answer:
+2633 ft
Step-by-step explanation:
The city is above sea level meaning it is a positive number.
Show all work to solve 3x2 - 5x – 2 = 0.
Answer:
[tex]3x\cdot \:2-5x-2=0[/tex]
[tex]6x-5x-2=0[/tex]
[tex]6x-5x=x[/tex]
[tex]x-2=0[/tex]
[tex]x-2+2=0+2[/tex]
[tex]x=2[/tex]
[tex]-----------[/tex]
Hope it helps..
Have a great day!!
Answer:
2, -1/3
Step-by-step explanation:
3x^2 - 5x - 2 = 0
Find the factors of 3*-2 that are the same as the addends for -5:
3*-2 = -6
Factors of -6: -6*1
Addends: -6 + 1
3x^2 - 6x + x - 2 = 0
(3x^2 - 6x) + (x - 2) = 0
(factor in each parantheses)
3x(x - 2) + 1(x - 2) = 0
(3x + 1)(x - 2) = 0
(set each of the terms to 0 and solve)
3x + 1 = 0
3x = -1
x = -1/3
x - 2 = 0
x = 2
Hope it helps (●'◡'●)
I NEED HELP SOMEONE HELP ME OUTTTT!!!
Answer:
Tan A = [tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] = .6
Step-by-step explanation:
SOH CAH TOA
Sin Ф = [tex]\frac{O}{H}[/tex]
Cos Ф = [tex]\frac{A}{H}[/tex]
Tan Ф = [tex]\frac{O}{A}[/tex]
What are the coordinates of R?
Answer: y,0
Step-by-step explanation:
help me please i need this right now !!
Answer:
The first choice.
Step-by-step explanation:
3(x + 2) is equal to 3 * x + 3 * 2.
Simplify that, and you would get 3x + 6.
Answer:
A. or 3(x+2) = 3x + 6
Step-by-step explanation:
A. 3(x+2) = 3(x) + 3(2)
= 3x + 6
Which is correct!.
B. x^2 is nowhere to be found.
C. Doesn't distribute the 3 into the 2 properly.
D. Doesn't distribute the -3 into the x properly.
which statement best describes a line in slope-intercept form when the coefficient of the x-trm is negative
Answer:
it's a negative slope
Step-by-step explanation:
**btw; not all slopes with a negative cefficient will look exactly like this, but as log as it has a negative coefficient, it will be negative and look somewhat similar**
Can someone help me please this is my last one
Answer:
Domain and range: [0, ∞)
Step-by-step explanation:
There is no limit to the number of concert tickets someone can buy, but there cannot be negative concert tickets. The domain, or what the input can be, is [0, ∞) as it can be greater than or equal to 0
The range is the total cost, or what the output can be. Since the total cost is the number of tickets multiplied by 55 (as it is $55 per ticket), this can be represented by 55 * number of tickets. The total cost cannot be negative, but it can be 0 if no one buys tickets. As there is no limit to the amount of tickets someone can buy, there is no limit to what the total cost could be, making the range [0, ∞)
What is the constant of variation, k, of the direct variation, y = for, through (5,8)?
Answer:
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
The constant of direction variation givens a proportion that is maintained by both x and y values for all points of a line that it passes through.
Usually represented with the variable [tex]k[/tex], it is given by:
[tex]\frac{y}{x}=k[/tex] for coordinates (x, y).
This relationship can be written as [tex]y=kx[/tex] which is also the layout for a proportional relationship.
Since coordinates are written (x, y), for point (5, 8), substitute [tex]x=5, y=8[/tex] to get the constant of variation:
[tex]8=5k,\\k=\boxed{\frac{8}{5}}[/tex]
Answer:
8/5
Step-by-step explanation:
Given that y varies directly with x , therefore ,
[tex]\implies y \propto x[/tex]
Let k be the constant . Therefore ,
[tex]\implies y = k x[/tex]
When the point is (5,8) ,
[tex]\implies 8 = k * 5 \\\\\implies \underline{\underline{\boxed{ k =\dfrac{8}{5}}}}[/tex]
Hence the constant of variation is 8/5.
