Answer:
Step-by-step explanation:
Middle point of AB
x(m) = (6+1)/2 = 7/2
y(m) = (7+4)/2 = 11/2
slope of the line that contains AB
(4-7)/(6-1) = -3/5
eqaution of the perpendicular bisector
y-11/2 = 5/3(x-7/2)
y = 5/3x -35/6 + 11/2
y = 5/3x + (-35 + 33)/6
y = 5/3x -1/3
Middle point of AC
x(m) = (1+5)/2 = 3
y(m) = (7+5)/2 = 6
Slope of the line that contains AC
(5-7)/(5-1) = -1/2
equation of the perpendicular bisector
y-6 = 2(x-3)
y = 2x -6 + 6
y = 2x
Point of intersection
y= 5/3x -1/3
y = 2x
2x = 5/3x - 1/3
6x = 5x - 1
x = -1
y = -2
P(-1,-2)
Answer:
(1,7)
Step-by-step explanation:
Given:
A(1,7)
B(6,4)
C(5,5)
Solution:
Mid point of AB = M((1+6)/2,(7+4)/2) = M(3.5,5.5)
Slope of AB = (4-7)/(6-1) = -3/5
Perpendicular bisector of AB:
L1: y - 11/2 = -(3/5)(x-7/2) ............(1)
Mid point of AC, m= N((1+5)/2,(7+5)/2) = N(3,6)
Slope of AC, n = (5-7)/(5-1) = -2/4 = -1/2
perpendicular bisector of AC:
L2: y-6 = -(1/2)(x-3) ..........."(2)
To find the point of intersection,
(1)-(2)
-5.5 - (-6) = -(3/5)x +12/5 + x/2 - 3/2
1/2 = -x/10 + 6/10
x/10 = 1/10
x = 1
substitute x in (1)
y = 3/2+11/2 =7
Therefore Point of intersection is (1,7)
Multiply the polynomials.
(x + 2)(2x2 + 9x+8)
A. 2x3 + 13x2 – 26x+ 16
B. 16x3 + 72x2 + 46x - 16
C. 2x3 + 17x + 22x+16
D. 2x3 + 13x2 + 26x+ 16
Answer:
2x^3 + 13x^2 + 26x + 16
Step-by-step explanation:
x(2x^2 + 9x + 8) +2(2x^2 + 9x + 8)
2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16
2x^3 + 13x^2 + 26x + 16
HOPE IT'S HELPFULSimon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds
Answer:
ok
Step-by-step explanation:
whats the question?
Put these numbers in order from greatest to least.
3/7,1/6,5/6, and 0.14
If this is the graph of f(x)=a^(x+h)+k then the domain is.....
Answer:
d)
Step-by-step explanation:
The domain are all the possible values for x. For this graph the domain will continue on forever in both the positive and negative direction, so (-∞, ∞).
The range are all possible values for y. For this graph, k affects the height of the graph. Since k affects how far up/ down you move the graph, therefore (k, ∞)
The h in the equation shows how far you move the graph to the left/right.
What is the slope of a line that is perpendicular to the line y = –1/4 x + 5
Answer:
4
Step-by-step explanation:
To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it's 3 flip it to 1/3) and change the sign ( so if it's positive change it to negative vise versa )
The equation we are given has a slope of -1/4
So flip the fraction ( we would get -4)
And change the sign ( we would get 4)
So the slope of a line that is perpendicular to y = -1/4x + 5 is 4
Answer:
slope = 4
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 )
y = - [tex]\frac{1}{4}[/tex] x + 5 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{4} }[/tex] = 4
Question in attachment. Will give brainliest if correct.
Answer:
x= 50
Step-by-step explanation:
The angles of a triangle adds up to 180
First we can see R, S, O is equal to S, R, O
We can also see that the angles are equal to N, O, S
So R, S, O and S, R, O are both 65 degrees
Add 65 + 65
= 130
180 - 130 = 50
x= 50
answer asap -=-=-=-=-==-=
Step-by-step explanation:
my answer is in the image above
Mhanifa or Anyone answer this
Answer:
$8.99
Step-by-step explanation:
14.38 ÷ 2 = 7.19
7.19 + 1.8 = 8.99
Hope this helps
9. Here are two expressions with a missing number: Expression 1: • Expression 2: + 4 Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)
pls no time help me fast no links ill report u and no brainlist
Answer:
Step-by-step explanation:
Line segment Point Point Distance Proof
AB A(-3 , 4) B(2,4) 5 2 - (-3) = 2 +3 = 5
BC B(2,4) C(5,4) 3 5 - 2 = 3
CD C(5,4) D(5,-1) 5 4 -(-1) = 4 +1 = 5
DE D(5 , -1) E(5,-3) 2 -1 -(-3) = -1 +3 = 2
EF E(5, -3) F(-5,-3) 10 5 - (-5) = 5+5 = 10
Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true
Answer:
C. Only statements #1 & #3 are true.
Step-by-step explanation:
A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).
All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.
Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.
help with this please?....:)
Answer:
200. 96 cm^2
Step-by-step explanation:
If the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex] = 3.14,
radius = 8 cm (r = diameter/2 ----> r = 16/2)
= [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]= 3.14 (8^{2})\\= 200. 96 cm^{2}[/tex]
Find the missing length of the triangle. 12 in 85 in.
Answer:
From Pythagoras Theorem
The square of the hypotenuse is equal to the sum of the squares of the other two sides
C² = 12² + 35²
C= √12²+35²
C= 37in
Answer:
side c = 37 in.
Step-by-step explanation:
side c is the hypotenuse as it is opposite of right angle (90 degree ).
12 and 35 are the two other smaller sides of the given right angles triangle.
using pythagoras theorem to find side c
a^2 + b^2 = c^2
12^2 + 35^2 = c^2
144 + 1225 = c^2
1369 = c^2
[tex]\sqrt{1369}[/tex] = c
37 = c
La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:
Answer:
El coseno del ángulo esta dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Step-by-step explanation:
Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:
[tex]cos(\theta)=\frac{CA}{H}[/tex]
Donde:
CA es el cateto adyacenteH es la hipotenusa del triánguloEspero te haya sido de ayuda!
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE
Complete Question:
A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?
*The circle is attached below in the attachment
Answer:
BD = 11
Step-by-step explanation:
Given:
AE = x
EC = x + 12
BE = x + 2
ED = x + 5
Required:
Length of BD
Solution:
First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem
x(x + 5) + 2(x + 5) = x(x + 12)
x² + 5x + 2x + 10 = x² + 12x
Add like terms
x² + 7x + 10 = x² + 12x
Subtract x² from each side
x² + 7x + 10 - x² = x² + 12x - x²
7x + 10 = 12x
10 = 12x - 7x
10 = 5x
10/5 = 5x/5
2 = x
x = 2
Next, find BD:
BD = BE + ED
BD = x + 2 + x + 5
Add like terms
BD = 2x + 7
Plug in the value of x
BD = 2(2) + 7
BD = 4 + 7
BD = 11
Answer:
What is BD?
11 units
Step-by-step explanation:
draw a graph for the equation above
Answer:
look at image given
Step-by-step explanation:
im assuming the -3 is seperate :p
Since I’m nice I’ll give 2 lucky people some points!!!
Answer:
hi
Step-by-step explanation:
thank u
Answer:
is that allowed or not......
hhhhhhhhhhhhhhhhhhhhhhh
Answer:
for the triangle on top on side is 8 one side is 4 so if we use the theorem
64+16=80
a=9
so
Side a = 19.8242
Side b = 17.66349
Side c = 9
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 63° = 1.09956 rad = 7/20π
Angle ∠C = 27° = 0.47124 rad = 3/20π
Area = 79.48573
Perimeter p = 46.4877
Semiperimeter s = 23.24385
Use the picture above to determine why the work below received a 2/3. (hint: there are 2 mistakes)
V = TTr2h
V = TT(32)10
V = TT(6)(10)
V = 60TT square feet
Answer:
3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60
If f(x) = 2x-5, then f(4) is ___.
Answer:
3
Step-by-step explanation:
f(x) = 2x-5
Let x = 4
f(4) = 2*4 - 5
Multiply
f(4) = 8 -5
Subtract
f(4) = 3
Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. This sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?
Answer:
Tn = 75+25n
Step-by-step explanation:
The balance are in arithmetic progression
$100, $125, $150...
The formula for calculating the nth term of the sequence is expressed as;
Tn = a+(n-1)d
a =100
d = 125 - 100 = 150 - 125
d = 25
n is the number of terms
Substitute
Tn = 100+(n-1)*25
Tn = 100 + 25n-25
Tn = 75+25n
Hence the nth term of the sequence is Tn = 75+25n
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?
Answer:
52.24 km
Step-by-step explanation:
Given that,
The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.
d = ks²
Where
k is constant
When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?
So,
[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]
So, the new distance is 52.24 km.
WORKING TOGETHER,MARIO AND MALF CAN PAINT A WALL IN 4 HOURS. WORKING ALONE, MARIO CAN DO THE SAME JOB IN 12 HOURS. HOW LONG IT WILL TAKE MALF TO DO THE JOB ALONE
Answer:
it take 6 hours to do the job its the answer
Will your career more important than anything else
Which of the following rational functions is graphed below?
O A. F(X) =
x) =
B. F(x)
1
C. F(x)
(x - 3)2
Answer:
a
Step-by-step explanation:
3(2x+4)=2 when 0 is on horizontal
The equation of the graph of the function is f ( x ) = 1/( x - 3 )²
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/( x - 3 )²
The y-intercept of the function is at when x = 0
So , when x = 0
y = 1/9
Hence , the function is f ( x ) = 1/( x - 3 )² and the graph is plotted
To learn more about graph of polynomials click :
https://brainly.com/question/16957172
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What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → B
5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?
the measures of the angles of a triangle are shown in the figure. solve for x
Answer:
X=57.
Step-by-step explanation:
Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.
Classify the following angles
--Answer--
1. acute
2. right
3. acute
4. obtuse
5. straight
--Explanation--
Acute angle = Greater than 0 °, Less than 90°
Right angle = 90°
Obtuse angle = Greater than 90°, less than 180°
Straight angle = 180°
Answer:
A) Acute B) Right C) Obtuse D) Obtuse E) Flat/Straight
Step-by-step explanation:
Acute angles are angles less than 90°
Right angles are angles that are 90°
Obtuse angles are angles that are over than 90°
Flat/Straight angles are 180°
Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies
No Betty would have sold at least 5 cookies.
We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.
It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.