Answer:
sorry type it out
Step-by-step explanation:
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase
5 yds=? Ft (PLEASE HELPP!!!)
Answer:
5 yards = 15 feet
Step-by-step explanation:
Following the formula that for every 1 yard we have 3 feet.
x = amount of yards
y = amount of feet per yard
z = amount of feet total
[tex]x * y = z[/tex]
Substitute:
[tex]5 * 3 = z[/tex]
[tex]15 =z[/tex]
Final answer:
5 yards = 15 feet
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE HELP
Answer:
15/19
Step-by-step explanation:
60/4 = 15
76/4 = 19
15/19
Answer:
76/60 i think
Step-by-step explanation:
PLEASE HELP!!
Use the expression 9i+2(7+3i) to answer this question!
Which property or properties should you use to simplify this expression?
Apply those properties to each term
Answer:
Please check the explanation.
Step-by-step explanation:
Considering the expression
[tex]9i+2\left(7+3i\right)[/tex]
Applying the distributive law[tex]a\left(b+c\right)=ab+ac[/tex]
so the expression becomes
[tex]=9i+2\cdot \:\:\:7+2\cdot \:\:\:3i[/tex]
Group like terms
[tex]=9i+14+6i[/tex]
Add similar elements: 9i+6i=15i
[tex]=15i+14[/tex]
Find the equation of the linear function represented by the table below in slope-intercept form.
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
What is 8.15 rounded to the nearest whole number
Answer:
the answer is 8.
Step-by-step explanation:
Brainliest? uwu
Answer:
8 :)
You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.
Regional erosion occurs at a rate of 2 m per 1,000 years.
How much regional erosion will occur over 1,000,000 years?
A) 20 m
B) 200 m
C) 2,000 m
D) 100,000 m
Answer:
200
Step-by-step explanation:
It's 200 because you would take the 1,000 and multiply it by the power of 3, which is 100,000. So therefore you would do the same thing with the 2, which 2 to the power of 3 is 200. There is your explanation.
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answer:
2 7/20
Step-by-step explanation:
Please help it would help alot
Help. Thank you in advance.
Answer:
option 2. mean is larger than median.
Step-by-step explanation:
mean of the set = ( 88+81+93+85+98)/5
= 445/5
= 89
median of the set = 88
the mean of the set is greater than the median.
State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible.
Answer:
x =2
x = -2
Step-by-step explanation:
(x - 2)(x + 2)(x^2 + 4) = 0
(x - 2) = 0
x = 0 + 2
x = 2
(x + 2) = 0
x = - 2
x = - 2
(x^2 + 4) = 0
x^2 = 4
x = [tex]\sqrt{4}[/tex]
x = 2
What is the smallest possible real value of x^2+8x?
========================================================
Explanation:
Let's complete the square
y = x^2 + 8x
y + 16 = x^2 + 8x + 16 .... adding 16 to both sides
y + 16 = (x+4)^2
y = 1(x+4)^2 - 16
We added 16 to both sides to allow the right hand side to factor into a perfect square.
The last line shown above is in the form y = a(x - h)^2 + k where
a = 1
h = -4
k = -16
Note the positive 'a' value indicates we have a minimum.
The vertex is (h,k) = (-4, -16)
The lowest y value possible is at the vertex.
So the smallest y value is y = -16.
This means the smallest possible value of x^2+8x is -16.
3. Express the following algebraic expressions in standard form.
4. (x + 7)(x - 2) = 0
5. 2x(x + 1) = 12
Answer:
x^2+5x-14=0
Step-by-step explanation:
(x+7)(x-2)=0
x (x-2)+7 (x-2)=0
x^2-2x+7x-14=0
x^2+5x-14=0
The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle
Answer:
200
Step-by-step explanation:
Length = 2w
2w + 2l = 60
substitute l out with 2w
2w + 2(2w) = 60
2w + 4w = 60
w = 10
l = 20
Area = w • l
= 10 • 20
= 200
Mia has 12 boxes of cookies. Each box contains 36 cookies. she has another 258 cookies in the pantry. How many cookies does she have in all?
690
12×36 + 258 = 690 For extending to 20 characters
Use the diagram to solve. What is 135% of 280?
Percent
Total
100%
5%
5%
5%
5%
5%
5%
5%
135%
315
378
525
560
Answer:
b
Step-by-step explanation:
hope it helps :D
2. Soive: (14x - 8) - 2(3x - 6)
a. 8x + 4
b. 20x + 4
19x + 14
d. 8x - 20
Answer:
A
Step-by-step explanation:
Distribute the -2 into (3x-6)
combine like terms!!
8x+4
Answer:
A.) 8x + 4
Step-by-step explanation:
HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°
Select the correct answer.
Which expression is equivalent to this polynomial?
x^2+8
OA. ( + 2/2)(x – 2/2)
B. (5 + 4i) (3 – 4i)
oc. (x + 2√2)
D. (x + 2/2i)(x – 2/2i)
The expression x²+8 is equivalent to ( x + 2√2i) ( x - 2√2i).The correct option is D.
What is an Expression?An expression is a statement consisting of variables, constants, and mathematical operators.
The expression x²+8 can be written as
( x )² - ( 2√2i)²
This is representing the binomial Identity
a² - b² = ( a+b) (a-b)
here a = x , b =2√2i
The expression can be written as
( x )² - ( 2√2i)² = ( x + 2√2i) ( x - 2√2i)
Therefore, The correct option is D.
To know more about Expression
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Answer: D.)
Step-by-step explanation: I got it right on the test!!
Which of the following is not a reason used in this proof?
A) Definition of perpendicular
B) Vertical angles are equal
C) Reflexive
Answer:
Reflexive
Step-by-step explanation:
Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof
Answer:
Reflexive
Step-by-step explanation:
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
add on sc alawad2003
Answer:
Mkay?
Step-by-step explanation:
How do you say hi in chamoru?
Answer:
Step-by-step explanation:
To say Hi in Chamoru you say, "Håfa Adai" (Chamorro for "Hello").
Hope this helped!
Marco paid $42.40 for 6.4 Gallons of gas. What is the price of 1 gallon of gas? Group of answer choices
Answer:
6.63
Step-by-step explanation:
The sum of twice a number, m, and 7 is equal to 15 less than the number,
m. What is the value of m?
Answer:
2m+7 = m-15
2m-m+7 = -15
1m = -15-7
1m = -22
m = -22
Rhombus ABCD has the following vertices:
A(-8,11)
B(-1, -13)
C(14,7)
D(7,31)
Is rhombus ABCD a square, and why?
Answer: No because BC is not perpendicular to AB.
Step-by-step explanation:
Yes, rhombus ABCD is a square as all four angles of the rhombus are right angles.
A square is a special type of rhombus where all four sides have the same length and all four angles are right angles.
In this case, we can see that all four sides of the rhombus have the same length by calculating the distance between each pair of vertices. For example, the distance between A and B is:
distance = [tex]\sqrt{[/tex] [tex]((-8 - (-1))^2[/tex] + [tex](11 - (-13))^2[/tex])
distance = [tex]\sqrt{[/tex] ([tex]7^2[/tex] + [tex]24^2[/tex])
distance = [tex]\sqrt{[/tex] (625) = 25
The distance between each other pair of vertices is also 25, so all four sides of the rhombus have the same length.
We can also see that all four angles of the rhombus are right angles by calculating the angles between each pair of adjacent sides. For example, the angle between sides AB and BC is:
angle = arctan((13 - (-13))/(-8 - (-1)))
angle = arctan(26/7)
angle = 78.6°
The angle between each other pair of adjacent sides is also 78.6°, so all four angles of the rhombus are right angles.
Therefore, rhombus ABCD is a square.
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Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?
Answer:
$18.00
Step-by-step explanation:
8 x 1.25 = 10
8 + 10 = 18