Answer:
A) y = 3x - 1.
B) y = -1/5x + 10.
C) y = -3x + 6.
Step-by-step explanation:
A) It is parallel, so it will have the same slope of 3. The y-intercept is -1.
So, we have y = 3x - 1.
B) It is perpendicular, so it will have the negative reciprocal slope of -1/5.
To find the y-intercept, put the points into the equation.
8 = -1/5(10) + b
8 = -2 + b
b - 2 = 8
b = 10
So, we have y = -1/5x + 10.
C) It is perpendicular, so the slope will have a negative reciprocal of -3. The x-intercept is 2, so it has a point at (2, 0). We put that into the equation.
0 = -3 * 2 + b
0 = -6 + b
b - 6 = 0
b = 6
So, we have y = -3x + 6.
Hope this helps!
Answer:
Equation of a line is y = mx + c
where m is the slope
c is the y intercept
A).y = 3x + 5
Comparing with the above formula
Slope / m = 3
y intercept = - 1
Since the lines are parallel their slope are also the same
Substituting the values into the formula
We have the final answer as
y = 3x - 1B).y = 5x - 1
Slope / m = 5
Since the lines are perpendicular the slope of the line is the negative inverse of the original line
That's
m = - 1/5
Equation of the line using point (10, 8) is
y - 8 = -1/5( x - 10)
y - 8 = -1/5x + 2
The final answer is
y = -1/5x + 10C).y = ⅓x + 4
Slope / m = ⅓
Since the lines are perpendicular the slope of the line is the negative inverse of the original line
That's
m = - 3
Equation of the line using point (2,0) is
y - 0 = -3( x - 2)
We have the final answer as
y = - 3x + 6Hope this helps you
Find the area of the semicircle need help asapp
Answer:
2 pi
Step-by-step explanation:
The radius is 2
The area of a circle is
A = pi r^2
We have 1/2 of a circle so
1/2 A = 1/2 pi r^2
=1/2 pi ( 2)^2
=1/2 pi *4
= 2 pi
Evaluate 55 ÷ 11 + (13 x 3)
Step-by-step explanation:
55 ÷ 11 + (13 x 3)
5 + (13 x 3)
5 + 39
44
Answer:
44
Step-by-step explanation:
13 * 3 = 39
55/11 = 5
5 + 39 = 44
I hope I helped! Please mark me brainliest!
i need help plzzzzz
Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{3+x}{x-3}[/tex]
To evaluate f(a + 2), substitute x = a + 2 into f(x)
f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex] → A
(pic inside) What is the approximate value of the function at x = 1?
Answer: -2
Step-by-step explanation:
When x = 1, y = -2.
Hope it helps <3
HELLLLLPPPPPPPPPPPPpppppppppppppp
Answer:
22.9 or round it up to 23
Step-by-step explanation:
SOHCAHTOA
C=A/H
acos (35/38)
=22.9
Point AAA is at {(2,-8)}(2,−8)left parenthesis, 2, comma, minus, 8, right parenthesis and point CCC is at {(-4,7)}(−4,7)left parenthesis, minus, 4, comma, 7, right parenthesis.
Find the coordinates of point BBB on \overline{AC}
AC
start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:12:12, colon, 1.
Answer:
The coordinates of point B are (-2, 2).
Step-by-step explanation:
Given:
Point A (2,−8)
Point C (−4,7)
Point B divides the line AB such that the ratio AB:BC is 2:1.
To find: The coordinates of point B.
Solution:
We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where [tex](x,y)[/tex] is the co-ordinate of the point which
divides the line segment joining the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] in the ratio [tex]m:n[/tex].
m = 2
n = 1
As per the given values
[tex]x_{1} = 2\\x_{2} = -4\\y_{1} = 8\\y_{2} = 7[/tex]
Putting the values in the formula:
[tex]x = \dfrac{2 \times (-4)+1\times 2}{2+1}=\dfrac{-8+2}{3} =-2\\y = \dfrac{2\times 7+1 \times (-8)}{2+1} = \dfrac{6}{3} =2[/tex]
So, the coordinates of point B are (-2, 2).
The average age of 15 students is 16 years. If teacher’s age is included the average increases
by 1. Find teacher’s age
31
because 15 +16 :31
[tex]. = y1 = \times [/tex]
Write 59/40 as a decimal
Answer:
1.475
Step-by-step explanation:
Find the vertical asymptote of f(x)=2x^2+3x+6/x^2-1 I'm having trouble with this one, seems simple tho I just don't want to make a stupid mistake,,, And here are the choices:
Answer:
x = - 1, x = 1
Step-by-step explanation:
Given
f(x) = [tex]\frac{2x^2+3x+6}{x^2-1}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.
x² - 1 = 0 ← difference of squares
(x - 1)(x + 1) = 0
x - 1 = 0 ⇒ x = 1
x + 1 = 0 ⇒ x = - 1
x = - 1 and x = 1 are vertical asymptotes
Andrew wants to ride the Ultramonster roller coaster. He observes the sign at the entrance that says riders must be at least forty-three inches tall to ride the roller coaster. Since Andrew was at the doctor's office yesterday he remembers they said he wasthree and a third feet tall. Is he tall enough to ride the Ultramonster?
Answer:
No
Step-by-step explanation: he is 3 and 1/3 feet tall. 3 feet is 36inch and 1/3 feet is 4 inches, so 36+4 is 40 inches
-1 1/6 ÷ (-4 2/3) Help pls
Answer:
1/4
Step-by-step explanation:
-1 1/6 ÷ (-4 2/3)
Change to improper fractions
- ( 6*1 +1)/6 ÷ -(3*4 +2)/3
-7/6÷ -14/3
Copy dot flip
-7/6 * -3/14
Rewriting
-7/14 * -3/6
-1/2 * -1/2
1/4
p=E/x+Y express x in terms of p,e and y
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get [tex]\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }[/tex] . Then, we can simplify. We now have [tex]\frac{3^{-3}m^{5} }{6n}[/tex] . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get [tex]\frac{m^{2} }{6nx3^{3} }[/tex]. Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have [tex]\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}[/tex]
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
pls say me the 12th qns
Answer:
Step-by-step explanation:
12) p & q are parallel lines , n is transversal
4z = 108 { corresponding angles are congruent}
Divide both sides by 4
z = 108/4
z = 27°
n & m are parallel lines , p is transversal
3y = 4z { corresponding angles are congruent}
3y = 4 * 27
y = [tex]\frac{4*27}{3}[/tex]
y = 4*9
y = 36°
n & l are parallel lines, q is transversal
6x = 108 { corresponding angles are congruent}
x = 108/6
x = 18°
Wesimann Co. Issued 13-year bonds a year ago at a coupon rate of 7.3 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 5.6 percent, what is the current bond price?
Answer:
Current Bond price = $1155.5116
Step-by-step explanation:
We are given;
Face value; F = $1,000
Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)
Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)
Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)
Formula for bond price is;
Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]
Plugging in the relevant values, we have;
Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]
Bond price = (36.5 × 18.2954) + (487.7295)
Bond price = $1155.5116
Please answer answer question answer
Answer:
346.38022
Step-by-step explanation:
Using Law of Sines, we know that v=50
[tex]\frac{34}{sin(36)}=\frac{x}{sin(24)}[/tex]
Area = ab·sin(C) /2
[34x50xsin(24)]/2
=346.38022
Answer:
i think he/she is right
Step-by-step explanation:
Samin can run 5 kilometers in 30 minutes. Assuming she keeps a constant pace, how many kilometers can she run in 45 minutes? URGENT ANSWERS PLEASE!
Answer:
7.5kilometer
Step-by-step explanation:
for 30mins semin runs 5kilometer
then for 1min: (1min×5kilometer)÷30mins,
therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer
From the given information:
We are being informed that Samin can run for 5 kilometers in 30 minutes;
If Samin can run such a kilometer in 30 minutes;
5 kilometers = 30 minutes
∴
In x kilometers = 45 minutes
By cross multiplying;
(x × 30 minutes) = 5 kilometers × 45 minutes
30x = 225 kilometer/minutes
[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]
[tex]\mathbf{x = 7.5 \ kilometers}[/tex]
Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.
Learn more about word problems here:
https://brainly.com/question/23542499?referrer=searchResults
Select the correct answer.
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
O A. y = 3x + 4
OB. y= 3x - 14
O C. y= 3x - 4
OD. y = 3x + 12
Answer:
A
Step-by-step explanation:
Put your information in the the point slope formula y-y1=m(x-x1)
This will give you y+5=3(x+3)
simplify
y+5=3x+9
Now subtract 5
y=3x+4
What is the difference between a parallelogram and a rectangle? a Both pairs of opposite sides are congruent and parallel. b Contains four right angles. c The diagonals bisect each other. d Both pairs of opposite angles are congruent.
Answer: A rectangle is a type of parallelogram but there are other parallelograms like rhombi so a parallelogram is not a type of rectangle
find two rational numbers whose sum is -10,0,15
Answer:
Sum of two rational numbers-
-10 = -5+-5
0= -5+5
15= 10+5
Step-by-step explanation:
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
Correct answer is option D. 96.4 yd.
Step-by-step explanation:
Please refer to the attached figure for labeling of the given diagram.
ABC is a triangle with the following labeling:
A is the hole, B is the Tee and C is the point where the ball is.
Sides are labeled as:
[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]
To find:
Side [tex]b = ?[/tex]
Solution:
Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.
We can use cosine formula here to find the value of the unknown side.
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting all the values:
[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]
So, the distance between the Ball and hole is 96.42 yd
Correct answer is option D. 96.4 yd.
Answer:
D.) 96.4 yd
Step-by-step explanation:
I got it correct on founders edtell
In an examination 1/3 of the total student used unfair means and out of which 1/4 caught red handed while cheating. If 5 student caught red handed then find the total number of student appeared in exam
Answer:
total number of students =60
Step-by-step explanation:
total number of students 60
used unfair means 1/3= 20
1/4 caught red handed 1/4 of 20= 5
Pls answer this question with steps (proof).
Answer:
Step-by-step explanation:
Since triangle BCE is a right angle triangle, we would determine angle BEC by applying the tangent trigonometric ratio. Therefore,
Tan BEC = 6/3 = 2
Angle BEC = Tan^-1(2)
Angle BEC = 63.4°
The sum of the angles on a straight line is 180°. This means that
Angle AED + angle DEC + angle BEC = 180
Angle AED = 180 - (45 + 63.4) = 71.6°
Angle ADE = angle AED = 71.6°
Angle CDE + angle ADE = 180(sum of angles on a straight line)
Angle CDE = 180 - 71.6 = 108.4°
To get line EC, we would apply Pythagoras theorem. Therefore
EC² = 3² + 6² = 45
EC = √45 = 6.71 cm
The sum of the angles in a triangle is 180°
Therefore,
Angle ECD = 180 - (45 + 108.4) = 26.6°
By applying sine rule,
6.71/sin108.4 = ED/sin26.6 = DC/Sin45
6.71/sin108.4 = ED/sin26.6
Cross multiplying, it becomes
6.71sin26.6 = EDsin108.4
ED = 6.71sin26.6/sin108.4
ED = 3.00608/0.949 = 3.18cm
The area of a triangle is
Area = 1/2abSinC
Therefore, area of triangle EDC = 1/2 ×
ED × EC × SinDEC
Area = 1/2 × 6.71 × 3.18 × sin45
Area = 1/2 × 6.71 × 3.18 × 0.707
Area = 7.54 cm²
Factoriza e indica la cantidad de factores primos: P(m) = a(m+1) + b(m+1) –c(m+1)
A) 2
B) 3
C) 5
D) 1
E) 4
Answer:
Step-by-step explanation:
P (m) = a (m + 1) + b (m + 1) - c (m + 1)
P (m) = (a + b - c) (m + 1)
There are 2 prime factors
NEED HELP ASAP I DONT GET THIS
Answer:
x = 60
Step-by-step explanation:
In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.
360 = 84 + 75 + 68 + x + 73
Now combine like terms.
360 = x + 300
Now subtract 300 on both sides.
x = 60
And this is the value of x.
Answer:
50 degrees
Step-by-step explanation:
84 + 75 + 68 = 227
227 - 360 = 133
133 - 73 = 50
The answer is 50 degrees.
Please help me... tysm if you do
Answer:
The answer is B.
Step-by-step explanation:
Since x < 1 the circle at the point is open and the arrow points infinitely in the negative direction (which happens to be answer A here)
x is also greater than or equal to -1 so a closed circle at the point -1 will complete this graph.
Find all solutions of the equation in the interval [0, 2pi).
2 cos 0 - 13 = 0
Write your answer in radians in terms of t.
If there is more than one solution, separate them with commas.
Answer:
The solutions of 2·cos(θ) - √3 = 0in the interval [0, 2pi) are;
π/6, 13/6·π
Step-by-step explanation:
The given that the equation is 2·cos(θ) - √3 = 0
The solution of the above equation in the interval [0, 2pi) are required
Therefore, the domain includes 0 ≤ θ < 2pi
2·cos(θ) - √3 = 0
2·cos(θ) = √3
cos(θ) = √3/2
Therefore;
θ = cos⁻¹(√3/2)
The values are;
[tex]\theta =\dfrac{12 \cdot \pi \cdot n_1 +\pi }{6} \, or \, \theta =-\dfrac{12 \cdot \pi \cdot n_1 +\pi }{6}[/tex]
Where the domain is 0 ≤ θ < 2pi, we have;
π/6, 13/6·π
A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answer:
The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
The equation of a line through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to:
[tex]y-y_1=m(x-x_1)[/tex]
Where [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, the equation of the line through the points (3, 1) and (–5, –7) is:
[tex]m=\frac{-7-1}{-5-3}=1[/tex]
[tex]y-1=1(x-3)\\y=x-3+1\\y=x-2[/tex]
Then, we have two equations, y=x-2 and y=0.5x -1 , so solving for x, we get:
x - 2 = 0.5 x - 1
x - 0.5x = 2 - 1
x = 2
Replacing x=2 in the equation y=x-2, we get:
y =2 - 2 = 0
Finally, the solution of the system of equations is (x,y) = (2,0)
Answer:The solution of the system of equations is (x,y) = (2,0)
Step-by-step explanation:
Please answer this now in two minutes
Answer:
[tex] s = 14.1 [/tex]
Step-by-step explanation:
Find s using the Law of Cosines:
m < S = 31°
SR = q = 21
SQ = r = 9
QR = s = ?
Thus,
[tex] s^2 = r^2 + q^2 - 2(r)(q)*cos(S) [/tex]
[tex] s^2 = 9^2 + 21^2 - 2(9)(21)cos(31) [/tex]
[tex] s^2 = 81 + 441 - 378*0.8572 [/tex]
[tex] s^2 = 522 - 324.0216 [/tex]
[tex] s^2 = 197.9784 [/tex]
[tex] s = \sqrt{197.9784} [/tex]
[tex] s = 14.07 [/tex]
[tex] s = 14.1 [/tex] (to the nearest tenth)
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multiplying the previous term by $\frac{m}{7}$. If the first term of the sequence is positive, how many possible integer values are there for $m$?
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
[tex]Ratio = \frac{m}{7}[/tex]
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be [tex]x * \frac{m}{7}[/tex]
The next will be; [tex]x * (\frac{m}{7})^2[/tex]
The nth term will be [tex]x * (\frac{m}{7})^{n-1}[/tex]
For each of the successive terms to be less than the previous term;
then [tex]\frac{m}{7}[/tex] must be a proper fraction;
This implies that:
[tex]0 < m < 7[/tex]
Where 7 is the denominator
The sets of [tex]0 < m < 7[/tex] is [tex]\{1,2,3,4,5,6\}[/tex] and their are 6 items in this set
Hence, there are 6 possible integer
