Answer:
The endpoint coordinates are (3,12)
Step-by-step explanation:[tex]\frac{5+x^{2} }{2} =4[/tex] [tex]\frac{-6+y^{2} }{2} = 3[/tex]
You multiply 4 by 2 which gives you 8 and write the equation[tex]5+x^{2} =8[/tex] then you subtract 5 from 8 to get 3 for the x coordinate.
You multiply 3 by 2 which gives 6 and writhe the equation[tex]-6+y^{2}=6[/tex] then you substitute the -6 for +6 and add +6 and 6 to get 12 for the y coordinate.
To check use the midpoint formula with coordinates D and your endpoint coordinates[tex]\frac{5+3}{2}=\frac{8}{2} =4 \\[/tex] [tex]\frac{-6+12}{2} =\frac{6}{2} =3[/tex] and you get the answer for the midpoint which is (4,3)
Find the equation of the line in slope intercept form parallel to 5x−5y=−2 and goes through the point (−10,4) y=?
Answer:
y = x + 14
Step-by-step explanation:
given
5x−5y=−2, we'll rearrange this into slope - intercept form
5x + 2 = 5y
5y = 5x + 2 (divide both sides by 5)
y = x + (2/5)
recall that the general equation of the slope-intercept form of a linear equation:
y = mx + b, the value of m represents the slope of the line
in our case, comparing the above equations, it is clear that the slope m = 1.
We are given that our line is parallel to the above line, hence it will also have a slope of 1.
if we substitute m = 1 into the general equation, we will get
y = x + b
in order to find the value of b, we will substitute the given point (-10,4) into the equation:
4 = -10 + b (add 10 to both sides)
b = 4 + 10
b = 14
hence our equation is y = x + 14
simply 4x+6=6(x+1)-2x
Answer:
Many solutions
Step-by-step explanation:
First, you distribute the 6 into the parenthesis:
4x+6=6(x+1)-2x
4x+6=6x+6-2x
4x+6=4x+6
subtract 6 from both sides
4x=4x
All real numbers can be the solution
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Find the LCM 6 and 12
you have $53 in your bank account. you deposit $127. then you withdraw $40 . how much money is in your account now?
$53 + $127 - $40 = $140
Answer:
Step-by-step explanation:
53+127=180 so $180 total
180-40=140
$140
A ratio that compares a quantity to 100 is a/an....
Group of answer choices
1.Rate
2.Percent
3.Equivalent Ratio
Answer: percent
Step-by-step explanation: 1 out of 100 is 1%
If 8 is an angle in standard position and its terminal side passes through the point (21,20), find the exact value of cos 0 in simplest radical form.
Answer:
so x = 20 , y = -21 , which is in quad IV
r^2= 400+441 = 841
r = √841 = 29
then cos Ø = 20/29
sec Ø = 29/20 = 1.45
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The exact value of cos [tex]\theta[/tex] is 21/29.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have, point (21, 20)
So, Adjacent side= 21 and opposite side= 20
Using Pythagoras theorem
H= √ 21² + 20²
H= √441 + 400
H= √841
H= 29 unit
So, the trigonometric ratio
cos [tex]\theta[/tex] = Adjacent side/ H
cos [tex]\theta[/tex] = 21/29
Thus, the exact value of cos [tex]\theta[/tex] is 21/29.
Learn more about trigonometry here:
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help please! i appreciate it
Answer:- 1) there are three terms
2) 3,4,1
|5.9| + |-22|
Hope you can answer
Answer:
27.9
Explanation:
As you can see they both have an absolute value because they are both in between the 2 lines. So you have to change both of them into a positive number. You would get 5.9+22 which would equal 27.9
- 3 (n-3)-5
simplify the expression using distributive property please rnnn
The total height of a 1-foot tall birdbath if it’s placed on a base that is b feet tall- put into an expression
iTS C THANK MEH LATER BAIIII
Find the value of x
Answer:
x° = 123
Step-by-step explanation:
this triangle is isoceles so it has 2 congruent angles.
let y be the second angle
the sum of a triangle's angle is 180°
[tex]180 = 66 + y + y \\180 = 66 + 2y[/tex]
add [tex]-66[/tex] to both sides
[tex]180 - 66 = 2y + 66 - 66 \\114 = 2y[/tex]
divide both sides by 2
[tex]\frac{114}{2} = \frac{2y}{2}[/tex]
[tex]57 = y[/tex]
we khow that [tex]x + y = 180[/tex]
[tex]x + y = 180 \\x + 57 = 180[/tex]
add -57 to both sides
[tex]x + 57 - 57 = 180 - 57 \\x = 123[/tex]
As a sales person, you earn $200 plus two sevenths of your sales. What dollar amount of sales do you need this week to $500?
Answer:
You need $1050 worth of sales to make $500 this week.
Step-by-step explanation:
First make an equation,
The equation would be [tex]\frac{2}{7} s +200 = 500[/tex]
S is your sales
Second, solve the equation
minus 200 from 500
multiply 300 with the reciporcal of 2/7
Third, you should have the answer now.
s = 1050
Millie lives in home valued at $195,000 and her mortgage is $160,000. She has $3200 in her saving accounts. What is her net worth?
685,000
Step-by-step explanation:
195000
160000
3200
685000
The sum of 4 consecutive integers is 78. What are the 4 integers?
Help please
Answer:19,20,21 and 22
Step-by-step explanation: if this is for a test your welcome bud.
4. What is the least common denominator of: *
7
12
and
5
6
Answer:
Step-by-step explanation:
LCM of 7/12 and 5/6
12: 12, 24
6: 6, 12
LCM: 12
