Answer: Area= 459.73cm^2
Step-by-step explanation: Circumference of a circle is 2πr
76=2×3.14×r
r= 76÷(6×3.14)
r=12.10
Area of a circle= πr^2
Area= 3.14×(12.10)^2
Area= 456.73cm^2
Please help me asap
The line passing through which two points is perpendicular to the line 10x + 2y = 2?
A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)
Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Perpendicular line in this caseIn this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:
2y=2 - 10x
y= (-10x +2)÷ 2
y= -10/2x +2/2
y= -5x +1
The line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
-5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:
(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+20)
(7X-10)
105
Answer:
x = 5
Step-by-step explanation:
Angles in a triangle = 180°
(6x + 20) + (7x - 10) + 105 = 180°
13x + 10 +105 = 180
13x + 115 = 180
-115 = -115
13x = 65
x = 65/13
x = 5
If two numbers are 10 apart, is it likely that their square roots are also 10 apart?
b) How far apart are the square roots of numbers that are 10 apart likely to be?
pls no links!<3 thanks:)
Answer:
yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?
Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
If two numbers are 10 apart.
As we know,
The square root of 100 is 10
√100 = 10
Let us assume the number 90 which is near the 100
The square root of the number 90 is 9.48 which is near or after rounding:
√90 = 9.5
Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.
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Can someone help me with this, please?
Answer:
-2x = 4
Step-by-step explanation:
You have 2 negative x tiles on the left side, which is -2x.
You have 4 one tiles on the right side, which is 4.
Hope this helps!
A. Transform each quadratic function into standard form. Identify the constants h and k. - 1) y = x2 + 10x – 13 2) y = x2 - 6x + 5 3) y = x2 - 2x + 3 4) y = x2 – 3x + 16 5) y = x2 – 18x – 9 6) y = 2x2 – 3x + 4 7) y = 3x2 - 12x - 4 8) y = 2x2 - 8x - 22 9) y = 3x2 + 6x - 1 10) y = 9x2 + 18x + 4 - -
1. (-5,-12)
2. (3,-4)
To identify the constant H and K
- You need to write the given equation in vertex form
- Use complete the square method to write in vertex form
- The vertex form is
[tex]a (x - h) ^{2} + k[/tex]
- after writing the equation in the world storm you can see that there is a h and a k
- Pull the h and the k in into (h,k)
I can't do all of it so I'll do 2 for you and with explanations.
2. A house costs $30,000. A buyer is given a 1/10 discount. How much money does the buyer save?
Answer:
3000
Step-by-step explanation:
I’m wondering if this is a polygon
Answer:
They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!
Have a great day!
Brainliest please :)
Select the correct answer. Graph the following system of inequalities.
y <2x+1
y<-x-1
A. X
B. Z
C. W
D. Y
The graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The inequality functions are y <2x+1 and y<-x-1. When we plot the graph of the functions we can see that the two lines intersect at the point ( -1, 0 ) and overlap below the function.
The graph of the functions is y <2x+1 and y<-x-1 is attached with the answer below.
Therefore, the graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.
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(4, 7); y = 3x + 6 plz help me
y=3x+6.
y=3x-5
I did it with a parallel line
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
I think this is the answer you are looking for. (See below)
Step-by-step explanation:
From the given graph it is noticed that the line is passing through many points.
The coordinates of three given points are (1,5), (-1,-1), (-1,-7)
If a line passing through two points (x1 ,y1) and (x2, y2) , the slope of the lie is defined by, m= y2 - y1/x2 - x1
The line passing through two points (-1,1) and (1,5). So the slope of the line is, m= 5 - 1 / 1 minus -1
m=4/2
Therefore, the slope of the line is 2.
Pls if this is wrong, let me know in the comments. I'm not really good at this topic in math but I hope it helps you. Sorry if it is wrong. Have a good day. :)
Find the ratio as simply as possible in the form a : b.
[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]
_________
[tex] \: [/tex]
[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]
[tex] = \frac{3 \frac{1}{2} }{1 \frac{1}{7} } [/tex]
[tex] = \frac{ \frac{7}{2} }{ \frac{8}{7} } [/tex]
[tex] = \frac{7}{2} \times \frac{7}{8} [/tex]
[tex] = \frac{49}{16} [/tex]
[tex] = 49 : 16[/tex]
eleven less than twice a number is 17 more than four times the number
Let's take the missing number as 'x'.
11 less than twice a number = 11 - 2x
17 more than 4 times the number = 17 + 4x
=》 11 - 2x = 17 + 4x
=》 11 - 17 = 4x + 2x
=》 -6 = 6x
=》 -6/6 = x
=》 -1 = x
______
RainbowSalt2222 ☔
The other question is in the picture
Activity 2: of Directions: Write T before each item if the statement is TRUE, otherwise write F.
For items 1-2: Use the problem below to answer the following questions.
Your mother invested PhP 10,000.00 in an investment institution at 5% compounded semi-annually for x years.
___1. y = 10 000(1.025)2x is the function that represents mother's total investment
Using compound interest, it is found that the correct options are:
1. True.
2. True.
Compound interest:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. x is the time in years for which the money is invested or borrowed.Item 1:
Invested 10000, hence [tex]P = 10000[/tex].Semi-annually, hence [tex]n = 2[/tex].Interest rate of 5%, hence [tex]r = 0.05[/tex]Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]
[tex]A(x) = 10000(1.025)^{2x}[/tex]
Hence option 1 is True.
Item 2:
Quarterly, hence [tex]n = 4[/tex].Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]
[tex]A(x) = 10000(1.0125)^{4x}[/tex]
Hence option 2 is also True.
A similar problem is given at https://brainly.com/question/24507395
Solve
9
-
)
12
OA)
0010
100
8
OB)
OC)
5
12
OD)
olu
5
12
Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
Answer this question for me ASAP
Answer:
Option A: (It's just that the y-intercept and slope are in different spots.)
Line in (y=mx+b) form is y = 2x + 4
Slooe is 2
y-intercept is 4
Step-by-step explanation:
Slope-intercept form is written as y=mx+b, where m is slope and b is y-intercept.
By looking at the graph, we can already tell that the y-intercept is positive 4, since the line crosses the y-axis at that point.
Now use rise/run to find slope. (Remember that rise is movement up or down, and run is movement left or right.) With this in mind, the slope is 4/2, and if we simplify it, it's 2/1 (or basically just 2). Because we go upwards 4 units and to the right 2 units.
Hope this helps :)
Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?
Answer:
(−8,0)
Step-by-step explanation:
The x- intercept is (-8, 0)
What is Intercept?A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.
Given:
Equation: y= -1/4 x + 2
Now, for x- intercept take y= 0
So, 0 = 1/4x + 2
1/4x = -2
x= -8
Hence, the x- intecrcept is (-8, 0)
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U+t=7
Ut=12
Solve simultaneously using formula method
Answer:
U= 10 or 11 T=-4 or-3
Step-by-step explanation:
solved using substitution not sure what the formula method is
U+T=7
UT=12
U=12/t
12/t+t=7
12/t=7-t
12=7t-t^2
t^2+7t+12=0
(t+4)(t+3)
t=-4, -3
u-4=7
u=11
u-3=7
u=10
The domain for f(x) is all real numbers ___ than or equal to 2
Step-by-step explanation:
f(x) = 2x² + 5√(x - 2)
Domain
√(x - 2) ≥ 0
x - 2 ≥ 0
x ≥ 2
x is greater than or equal to 2
Answer: Greater than
Step-by-step explanation:
Caleb has 3 apples and he loses 1 apple how many apples does Caleb have?
Answer:
2 apples
Step-by-step explanation:
he should be more careful next time :)
What is - 1+12 Give your answer as a fraction in its simplest form.
Step-by-step explanation:
as u can use the rules of numbers u can realize -1+12=12-1=11
Answer:
-
Step-by-step explanation:
-1+12
=12-1
=11
:)
help please i don’t understand
Answer:
567
Step-by-step explanation:
you gotta keep dreaming multiply the 6 then the 5
.4(x + 7)
.4 + 7x- 5x -6
Answer:6/5x=7/x+2 Two solutions were found : x =(10-√940)/12=(5-√ 235 )/6= -1.722 x =(10+√940)/12=(5+√ 235 )/6= 3.388 Rearrange: Rearrange the equation by subtracting what is to the right
Step-by-step explanation:
10x + 44
8x - 23
It’s solving for X in triangles
Answer:
x=33.5
Step-by-step explanation:
What is 2x2, I keep on getting it wrong. Can u please help, Thank you
Answer:
4
Step-by-step explanation:
Alberto has $2.25 in dimes and nickels in his pocket. He has nine more nickels than dimes. How many of each type of coin does he have?
I really need help!
Alberto has 12 Dimes and 21 Nickels in his pocket.
How many of each type of coin does he have?Dimes value = 0.10$
Nickels value = 0.05$
Let d = number of dimes = 0.10d
Let d+9 = number of nickels = 0.05(d + 9)
Value of the Dimes + Value of the Nickels = total value of the coins
Write the equation:
0.10d + 0.05(d + 9) = 2.25
Distribute:
0.10d + 0.05d + 0.45 = 2.25
0.15d + 0.45 = 2.25
Subtract 0.45 from each side:
0.15d = 1.80
Divide to find the number of dimes.
d = 12
The number of nickels is d +9 = 12 + 9 = 21
Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.
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find the slope of the line that passes through the points
Please help me with these problems!
Answer:
143880000 people have dogs and b.
Step-by-step explanation:
327,000,000 * .44(44 percent) = 143880000
the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.
Answer:
Step-by-step explanation:
3)
327 Million → 100%
x → 44%
100x = 44×327
100x = 14388
x = 14388/100
x = 143.88 Million people
4) D
I hope I've helped you.
HELP PLEASE..........................
Answer:
B <3
Step-by-step explanation:
PLEEASE HELP!!!! I WILL GIVE BRAINLIEST!!!!!
Matheus is going shopping for a universal TV remote and Groceries. The cost of a universal TV remote is $15 and the cost of each Grocery is $8.
If Matheus can spend at most $75, how many groceries can be purchased?
Answer:
7
Step-by-step explanation:
Set up an equation using slope intercept form.
y = mx + b
75 = 8x + 15
Solve.
75 = 8x + 15
-15 -15
60 = 8x
7.5
Round down as it is dealing with money and he would not have enough to purchase an 8th grocery.
7 is the final answer.
Hope this helps!
