Find the distance between the two points in simplest radical form.
(7, 2) and (-1, -3)
Answers
Answer:
[tex]Distance = \sqrt{89}[/tex]
Step-by-step explanation:
[tex]Let \ (x_1 , y_1) = \ ( 7, 2 ) \ and \ (x_2 , y _2) \ = ( -1 , - 3) \\\\\\Distance = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}\\\\[/tex]
[tex]= \sqrt{(-1 - 7)^2 + ( -3 -2)^2}\\\\=\sqrt{(-8)^2 + ( -5)^2}\\\\=\sqrt{ 6 4 + 25 } \\\\=\sqrt{89}[/tex]
Related Questions
What are the solutions of the equation ( X -25 )^ 2 equals 36
Answers
Answer:
x = 31, x = 19
Step-by-step explanation:
[tex](x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19[/tex]
Un terreno tiene forma rectangular como se muestra en la siguiente figura. ¿Cuál es la expresión que representa el área del terreno? A. a2+2a+2 B. a2−2a−8 C. a2−8a−8 D. a2−8a+15
Answers
Answer:
si 2
Step-by-step explanation:
find the measures of x and y. I NEED THIS NOWW
Answers
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
3. Solve the system of equations without graphing. Show your reasoning.
ſ 2y = x - 4
4x + 3y = 5
Answers
Answer:
X=2, y=-1
Step-by-step explanation:
2y=x-4 equation 1
4x+3y=5 equation 2
x=2y+4 isolate x in equation 1
4(2y+4)+3y=5 substitute value of x from equation 1 into equation 2
8y+16+3y=5
11y=-11
y=-1
solve for x by inputting y value into either equation
2y=x-4
2(-1)=x-4
-2=x-4
2=x
A triangle has sides with lengths of 5 kilometers, 11 kilometers, and 12 kilometers. Is it a right triangle?
Answers
Answer:
Step-by-step explanation:
to prove it right angle
square of largst side must be eqaul to the sum of two other sides.
so here 12 is largest and 11 and 5 are two other smallest sides of a triangle.
(12)^2=(11)^2+(5)^2
144=121+25
144=146
since the square of largest side is not equal to the sum of square of other two smaller sides it can be concluded that the given sides of a triangle does not form a right angled triangle.
Please help thanks! Brainliest
Answers
[tex]5[/tex] ✅
Step-by-step explanation:
[tex]14 + {6}^{2} \div ( - 4) \\ \\ \: = 14 + \frac{6 \times 6}{ - 4} \\ \\ \: = 14 - \frac{36}{4} \: \\ \\ = 14 - 9 \\\\ \: = 5[/tex]
Note:-
[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Answer:
12.5
Step-by-step explanation:
14+6²÷(-4)
=14+6×6÷(-4)
=14+36÷(-4)
=50÷-4
=12.5
How many situations are there to the systems of equations graphed below if the lines are uuu parallel?
Answers
Answer:
2
Step-by-step explanation:
Yes the parallel line segment to eat the answer
Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.
Answers
Answer:
397
Step-by-step explanation:
Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;
Por teorema del resto, tenemos;
p (x) = (x - a) · Q (x) + R
Dónde;
p (x) = El número, que se divide
Q (x) = El cociente
(x - a) = El divisor
R = El resto
Dado que el número más pequeño es 4, el resto, 0 <R <4
Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;
R = 1
Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;
(x - a) · Q (x) = 396
R = 1, dar;
p (x) = 396 + 1 = 397
Por lo tanto;
El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397
Find the equation of the line for each situation.
a line with a y - intercept of 4 and a slope of -1
a line passing through the point (3, 4) and having a slope of -2
a line passing through the points (1, -1) and (9, 3)
Answers
Step-by-step explanation:
1) y = -x+4
2) y-4= -2(x-3)
y = -2x+6+4
y = -2x+10
3) slope = (3+1)/(9-1) = 4/8=½
the Equation =>
y+1= ½(x-1)
y = ½x -½-1
y = ½x - 1½ or 2y = x -3
Calculate the measure of angle P:
Answers
Answer:
122.3 degrees
Step-by-step explanation:
To get the measure, we use the appropriate method
The method we are going to use here is the cosine rule
We have the general form as;
a^2 = b^2 + c^2 -2bc Cos A
where a = 25
b = 9 and c = 19
Substituting these values;
25^2 = 9^2 + 19^2 - 2(9)(19) Cos A
183 = -342 cos A
cos A = -183/342
cos A = -0.54
A = arc cos -0.54
A = 57.65 ( since cosine is negative in the second quadrant, then the value will be 180 - 57.65
= 122.35
if sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then:
Answers
Answer:
A. csc 0 = -5/4 or B. cos 0 = 3/5
Answer:
B or A
Step-by-step explanation:
sec(theta) = 1/cos(theta)
cos(theta) = adjacent side / hypotenuse.
The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus
Since the cos(theta) is positive in quad 4, B is going to be the answer.
The value for sin(theta) should be sin(theta) = - 4/5 not 2/5
Tan(theta) = - 4/3
Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.
a^2 + b^2 = c^2
a = the adjacent side = 3
b = the opposite side = b
c = the hypotenuse = 5
3^2 + b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = 4
HELPpppp
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds???
Answers
Answer:
0.25 is the probability
Step-by-step explanation:
If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.
angles 1 and 2 are completely and congruent what is the measure of angle 1
Answers
Answer:
180
Step-by-step explanation:
If the awnsers are equal and make a full 360 angle, the angle of one of them is 180 because that is half of 360.
Which of the following is furthest to the left on the number line?
-6.5
-5
-6.7
-6 help mee
Answers
Answer:
6.7 is farthest to the left of the line
answer please answer
Answers
Answer:
Step by step explaination:
Function A:
When x=5, y=17
x=4, y= 17-4=13
So x=3,y=13-4=9
and then,
x=2, y= 9-4=5.
Function B:
When x=2, y= 2.
Therefore, when x=2 then Function A is greater than Function B.
please help meeeee:(((
Answers
Answer:
d................. I'm not so sute
Every point on a circle is the same distance from a single location. What is
that location called?
Answers
Answer:
The center.
Step-by-step explanation:
That point is the center of the circle.
Hope that this helps!
Find a number which in which added square
sum will be 72.
Answers
Answer:
8.48528137424^2
Step-by-step explanation:
8.48528137424x8.48528137424
= 72
The sum of 4 and y divided by 5 equal to 9. Find the value of y.
Answers
Answer:
y = 41
Step-by-step explanation:
When you add 41 and 4, you would get 45.
When you divide by 5, it will be equal to 9:
45 ÷ 5 = 9
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
find the percent change from 4/5 to 3/5
Answers
The following triangle is and
isosceles
scalene
equilateral
——————
right
acute
obtuse
Answers
Answer:
isosceles
right
Step-by-step explanation:
The two legs (not the hypotenuse) are marked as equal. So the triangle is at least isosceles (choice of the top three)
The square in the bottom left corner is used as the symbol for a right angle. So this triangle is a right triangle.
The length of a rectangle is 5 more than 3 times the width. Write and solve an equation to find the width (w) if the length is 12.5 cm.
Answers
Answer:
Length = 42.5 cm
Step-by-step explanation:
length of rectangle = 5 + 3w
So l = 5 + 3w where w = 12.5
Equation:
L = 5 + 3(12.5)
Solving the Equation:
L = 5 + 3(12.5)
L = 5 + 36 + 1.5
L = 42.5
Length: 42.5 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Someone help me please
Answers
Answer:
-64
Hope it helps
There are x students trying out for a solo in a chorus concert. Only 6 will be chosen. How many students will not be chosen? Please write down the Algebra expression and answer please and thank you.
Answers
We need to solve this question using Algebraic expressions. The answer for the given question is x-6.
How do you solve Algebraic Expressions?A mathematical expression with variables and/or numbers is called an algebraic expression. It can be simplified even if it cannot be solved since it lacks an equals sign (=). Algebraic equations, which have algebraic expressions divided by an equals sign, can be solved. Recognize the distinction between an algebraic equation and an algebraic expression. A mathematical expression called an algebraic expression can have variables or integers in it. be able to combine similar phrases. Adding up (or removing) the terms with the same degree is all that is required to combine related terms. All x2 terms can be mixed with other x2 terms, and all x3 terms can be coupled with x3 terms, according to this.
Calculationx students are trying in a chorus concert.
Only 6 students will be chosen.
so the answer for the given question=x-6
We need to solve this question using Algebraic expressions. The answer for the given question is x-6.
To refer more about Algebraic expressions, visit:
https://brainly.com/question/4344214
#SPJ1
What are the possible values of x in x2 + 3x + 3 = 0?
Answers
Answer:
Step-by-step explanation:
Answer:
=3
Step-by-step explanation:
given the general form ax2 +bx+c=0
there exist two solutions where: a=1,b=3andc=3
What is the period of the graph of y
5cos(4x + 1) + 3?
Answers
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is [tex]\frac{\pi}{2}[/tex]
Step-by-step explanation:
For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].
Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].
What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.
HEYYYYT guys I probably know that your tired of me but u only have 2 question left :( I'm sorry guys
Answers
Answer:
There is no right answer in the option choice if you would want to find the area of the figure.
Step-by-step explanation:
5*12 = 60
11*6 = 66
60+66 = 126 square feet
Mickey planted a 34" tree that grows 7.5" every year. How tall will the tree be in 5 years
Answers
Given:
The initial length of a tree = 34''
The tree grows 7.5'' every year.
To find:
The height of the tree in 5 years.
Solution:
It is given that,
Length of tree increased each year = 7.5''
Length of tree increased 5 year = 5×7.5''
= 37.5''
The initial length of a tree is 34''. So, the length of tree after 5 years is
34'' + 37.5'' = 71.5''
Therefore, the length of the tree in 5 years is 71.5''.
Find the circumference of a circle with a radius of 35 inches in terms of 7 and to the nearest tenth of an inch.
Answers
Answer and Step-by-step explanation:
The circumference formula for a circle is:
C = [tex]2\pi r[/tex]
Plug 35 in for r (radius) and solve.
C = [tex](35) 2\pi\\\\C = 70\pi\\\\C = 219.9[/tex]
So, approximately 219.9 [tex]in^2[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
m (slope) =
b ( y - intercept) =
x - intercept =
Answers
Answer:
Step-by-step explanation:
The line is parallel to the x axis, so its slope is 0
m = 0
the y intercept is -2.5
the line doesn’t intercept the x axis because is parallel to it