Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
What is the slope of the line that passes through the points (10, 2) and (19, 14)?
Write your answer in simplest form.
Answer:
The slope of this line is 4/3.
Step-by-step explanation:
(x1, y1) = (10, 2)
(x2, y2) = (19, 14)
First, find the slope using the slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:
[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]
The slope of this line is 4/3.
on a coordinate plane, triangle a b c is shown. point a is at (negative 1, 1), point b is at (3, 2), and points c is at (negative 1, negative 1)if line segment bc is considered the base of triangle abc, what is the corresponding height of the triangle?
Answer:
The corresponding height of the triangle is [tex]1.2[/tex]
Step-by-step explanation:
We have[tex]\Delta ABC[/tex]
Here [tex]AD[/tex] is the height
We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]
The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]
First let us calculate equation of [tex]BC[/tex]
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]
Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]
what are 4 quarts in one gallon but in a
fraction form
Answer:
4 Quarts = 1 Gallon
Step-by-step explanation:
1 is an integer and not a fraction. However, it can be expressed as a fraction in rational form as 1/1. So a possible answer is 1/1 gallon. I don't know for sure though its my best guess.
what is the relationship between the amplitude of light of light waves and brightness
Answer: The amplitude of light waves is associated with our experience of brightness or intensity of color, with larger amplitudes appearing brighter.
Solve for x.
32-8
=
-6
Enter your answer in the box
X=
Answer:
X = -2
Step-by-step explanation:
3x - 8/2 = x - 6
3x - 8 = x - 6 × 2
3x - 8 = x - 12
3x - x = -12 + 8
2x = -4
X = -4/2
X = -2
Hopes that it will help u...✌
Ready lesson 8 independent practice
Answer:
wdym???
Step-by-step explanation:
the set $s = \$ contains the first $50$ positive integers. after the multiples of 2 and the multiples of 3 are removed, how many integers remain in the set $s$?
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round down to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
NO LINKS!!!
Help please ;-;
And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following
____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}
A. x > ‐4
B. x < ‐4
C. x ≥ ‐4
D. x ≤ ‐4
____ 2. The set of numbers {9, 8, 7, …}
A. x > 9
B. x < 9
C. x ≥ 9
D. x ≤ 9
____ 3. The set of numbers {0, -2, -4, -6, -8, ...}
A. x > 0
B. x < 0
C. x ≥ 0
D. x ≤ 0
____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}
A. x > ‐6
B. x < ‐6
C. x ≥ ‐6
D. x ≤ ‐6
1. A
2. D
3. D
4. C
(IF YOU NEED A EXPLANATION, JUST ASK!)
Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).
Answer:
$39,227.50
Step-by-step explanation:
Vika's income will be ...
$35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50
Vika's adjusted income is $39,227.50.
Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.
Answer:
[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]
Solve for x. −4.5(x+3.21)= −33.21 HELP PLZ
Answer:
4.17
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
Plz help me with this
y=6x-17 -12x+2y = -34 ??
Carry learning!
Stay safe!
Study hard!
Find the perimeter and area of the figure below.
Answer:
A: 312 P: 80
Step-by-step explanation:
Answer:
A=120, P=60
Step-by-step explanation:
help me plss i need helppp
Julie counts the cars passing her house, and
finds that 2 of every 5 cars are foreign. If she
counts for an hour, and 60 cars pass, how
many
of them are likely to be domestic?
a. 12 cars
b. 24 cars
C.30 cars
d. 36 cars
You want to save at least $180 to buy a new phone. You already have $65 in your account, and you can save $23 a week from your after-school job. Which inequality can be used to find the minimum number of weeks you need to save before you can purchase the phone?
Answer: 180≤23x+65
Step-by-step explanation:
p = phone
w = weeks
65 + 23w ≥ 180
If you need it to be solved, the minimum number of weeks goes as shown:
65 + 23w ≥ 180
-65 -65
23w ≥ 115
/23 /23
w ≥ 5
So, the minimum number of weeks that is required is 5.
Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?
Answer:
the answer is number 1 )
Step-by-step explanation:
we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1
we have
2x-y=7-------> y=2x-7------------> slope m1=2
find slope m2
m2=-1/m1------> m2=-1/2
the slope m of the perpendicular line must to be -1/2
so
the answer is
y = -1/2x + 6
M(ax+by+c)=0 make y subject
[tex]M(ax+by +c)=0\\\\\implies ax+by +c =0\\\\\implies by = -ax-c\\\\\implies y = \dfrac{-ax -c}{b}\\\\\implies y = - \left(\dfrac{ax+c}b \right)[/tex]
levi is a salesperson who sells computers at an electronics store he makes a base pay of $60 each day and then is paid a $5 commission for every computer sale he makes make a table of values and then write an equation for p in terms of x representing Levi's total pay on a day on which he sells x computers
Answer:
equation : P(x) = 5x+60
Table :
If x (levi sells this many computers)
then y (levi makes this much money)
x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...
y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...
Step-by-step explanation:
This equation can be modeled by P(x) = 5x+60
P= levi's total pay
x = number of computers sold
This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.
2) (x8y2)(x3y11)
a) xlly13
b) x24y22
c) xSy
d) 1
Answer:
the answer would be A.)
Step-by-step explanation:
the square root of 700 times square root of 525 in simplest form
Answer: 350 [tex]\sqrt{3[/tex]
Step-by-step explanation:
700^0.5 = 10 [tex]\sqrt{7\\[/tex]
525^0.5 = 5 [tex]\sqrt{21[/tex]
10[tex]\sqrt{7[/tex] x 5[tex]\sqrt{21[/tex] = 50 x 7 x [tex]\sqrt{3[/tex] = 350[tex]\sqrt{3\\[/tex]
Determine the intercepts of the line.
Answer:
y intercept= 12
x intercept = 4
Step-by-step explanation:
It is just one interception because the equation is linear
Given m | n, find the value of x and y.
X = 23
Y = 129
Hope this is helpful!
Answer:
i think x = 23, y = 129
Step-by-step explanation:
5x+14+3x-18 = 180
8x-4 = 180
8x = 184
x = 23
3x-18+y = 180
3(23)-18+y = 180
69-18+y = 180
51+y = 180
y = 129
Solve: 2sec(x) 5 = 9 Which equation is equivalent to the given equation?.
Answer
9=5 equivalent
Step-by-step explanation:
Answer:
A. cos(x) = 1/2
Step-by-step explanation:
2sec(x) = 9-5 = 4
sec(x) = 4/2 = 2
1/cos(x) = 2
cos(x) = 1/2
Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!
Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Recall:
The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).The picture given shows a triangle with two midsegments: AB and BC
AB = the distance Ashley will kayak.
BC = the distance Christopher will kayak.
XY = 5 mi (base)
XZ = 6 mi (base)
Applying the midsegment theorem, find AB and BC.
AB = ½(XZ)
SubstituteAB = ½(6)
AB = 3 mi
BC = ½(XY)
SubstituteBC = ½(5)
BC = 2.5 mi
Thus, the distance Ashley will kayak more than Christopher = AB - BC
= 3 mi - 2.5 = 0.5 mi.
Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi
Learn more about the midsegment theorem on:
https://brainly.com/question/12234706
Terry is $120 in debt. He needs to make
$140.20 in order to pay for his college books this
semester. If he wants to pay off his debt and pay
for his college books, how much money does he need to earn?
how to evaluate in math?
HELP PLEASE
Which figure has reflection symmetry?
Answer:
the first option
Step-by-step explanation:
if you were to fold it in half it would be the same shape without anything poking out of the sides. one side reflects the other side
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that [tex]a^{2}+b^{2} =c^{2}[/tex]. Plugging in the values of the two legs given, we get [tex]2^{2} +4^{2} =c^{2} =20[/tex]. We can take the square root of each side and get that [tex]c=\sqrt{20} =4.5[/tex].
Answer:
Try 4.5 or 5
Step-by-step explanation:
I measured it up and I estimated 4.5 at most