Answer:
The equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Step-by-step explanation:
Let m₁ and m₂ be the slope of line AD and BC respectively.
Now, AD⊥BC
∴ m₁ × m₂ = -1
be the slope of line AD and BC respectively.
⇒ m₁ = -1/m₂ → (A)
Finding the slope of BC using points
B(2, 2)
C(6, - 2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]m_{2} =\frac{-2-2}{6-2}[/tex]
[tex]m_{2} =-1[/tex]
On substituting the value of m₂ in equation (A)
m₁ = -1/m₂
= -1/(-1)
= 1
We know that the point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be
[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]
[tex]y-1=x+2[/tex]
[tex]y=x+3[/tex]
Therefore, the equation of altitude AD drawn from A to BC will be:
[tex]y=x+3[/tex]
Radicals and Exponets
Answer:
I'm so confused
Step-by-step explanation:
What are u supposed to do
Answer:
All you have to do is search it up on brainly!!!:)))
LOLOLOLOL
Step-by-step explanation:
answer is 298
describe the slope of the line passing through points A(-2,3) and B(4,-3)
Answer:
0/2 is ZERO is positive
Step-by-step explanation:
find the square of ( b - 9 )
Answer:
[tex] {b}^{2} - 18b + 81[/tex]
Step-by-step explanation:
[tex] {(b - 9)}^{2} = {b}^{2} - 2 \times b \times 9 + {(9)}^{2} \\ = {b}^{2} - 18b + 81[/tex]
ANSWER PLEASE! WILL GIVE BRAINLIEST!! You walk quickly to your friend’s house, which is half of the way between your house and the school. You wait a few minutes for your friend to get ready. You then walk slowly with your friend the rest of the way to school. Which of the graphs matches this situation?
Answer: down
Step-by-step explanation:
I would say A.
Answer:
I would say B since A hasn’t worked for everyone else.
Step-by-step explanation:
PLS HELP ME?? The blue dot is what value on the number line?
Answer:
-3
Step-by-step explanation:
since it is a gap of 6 the first one gave ...so 3-6=-3
6 cm
7 cm
4 cm
10 cm
4 cm
Cari perimeter, dalam cm, kawasan yang tidak
berlorek.
Find the perimeter, in cm, of the unshaded region.
A 21
C 41
B 31
D 51
Answer:
6+7+4+10+4 = 31. The answer is B. I am not sure.
Helps me solve this problem please
Answer:
(3,11)
Step-by-step explanation:
The coordinates satisfy the equation.
11=2(3)+5
Find the area of the rectangle with the given base and height.
Answer:
11. 720 in.^2 12.67.5 ft^2 13. 3.9m^2
Step-by-step explanation:
im really bad at math, can anyone help?
Answer:
yeah sure
Step-by-step explanation:
The science club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum. Write an expression to represent the cost for two days for the "n" members of the club.
Answer:
Total cost for two days for the n members of the club = 155 + 27 n
Step-by-step explanation:
Answer:
155
60+95=155. you have to take day one and add day 2 and there is your answer
Evaluate 9/m + 4 when m = 3
Answer:
Step-by-step explanation:
9/3 = 3
3+4 = 7
The answer is 7!
Answer:
7
Step-by-step explanation:
First, plug in m.
9/3+4
Because this equation has multiple operations, we need to use the order of operations, aka PEMDAS. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. First in the order of operations that we have in this equation is multiplication/division. So, we need to divide 9/3 before adding.
9/3=3
The equation is now simplified to 3+4, which is 7.
Hope this helps! Have a great day :D
X 2 +10x+22=13x, squared, plus, 10, x, plus, 22, equals, 13 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
The rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
To rewrite the equation x² + 10x + 22 = 13x as (x + c)² = d or (x - c)² = d, we need to complete the square on the left side of the equation.
Step 1: Move the constant term (22) to the right side of the equation:
x² + 10x = 13x - 22
Step 2: Move all terms involving x to the left side:
x² + 10x - 13x = -22
x² - 3x = -22
Step 3: Take half of the coefficient of x (-3) and square it.
To both sides of the equation, add the following value:
x² - 3x + (-3/2)² = -22 + (-3/2)²
Simplifying:
x² - 3x + 9/4 = -22 + 9/4
Step 4: Make the right side of the equation simpler:
-22 + 9/4 = -88/4 + 9/4 = -79/4
Step 5: The left side of the equation should now be written as a perfect square trinomial:
(x - 3/2)² = -79/4
Therefore, the rewritten equation, after completing the square, is
(x - 3/2)² = -79/4.
Learn more about Completing Square Method here:
https://brainly.com/question/13674062
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Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
ILL MARK U BRAINLIEST!!!
Answer:
8.50x + 55 = 123
8.5x = 68
x = 8
She rented the bicycle for 8 days
Answer:
8 days
I've attached a photo, hopefully it helps :)
Find the y-intercept of the following equation. Simplify your answer.
y = 4x +
2
5
y-intercept
=
Submit
Answer:
(0 , 25)
Step-by-step explanation:
y = 4x + 25 is our equation.
The formula used is y = mx + b where:
m = slope
x = independent variable
b = constant/y - intercept
Based on that knowledge we can tell that 25 is our y intercept.
through: (0,3), slope = -8
Answer:
y = - 8x + 3
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 )
Here m = - 8 and (0, 3) → c = 3
y = - 8x + 3 ← equation of line
Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Answer:
B ≥ 209
Step-by-step explanation:
This is the equation - 25b + 525 ≥ 5750 .
Comment if I solved it incorrectly ;-;
6. Janet makes scarves to sell at the craft fair. Each scarf requires 2.5 yards of yarn. A. At the fabric store, yarn is sold by the foot. If Janet wants to make 84 scarves, how many feet of yarn must she buy?
Answer:
610 feet
Step-by-step explanation:
From the question :
1 scarf = 2.5 yards of yarn
84 scarves = x yards
Cross Multiply
1 scarf × x yards = 84 × 2.5 yards
x yards = 210 yards
Hence, 84 scarves require 210 yards
Converting yards to feet
1 yard = 3 feet
210 yards = x feet
x feet × 1 yard = 210 yards × 3 feet
x feet = 210 yards × 3 feet/1 yards
x feet = 610 feet
Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn
12 mm
16 mm
What is the length of the hypotenuse?
C=
millimeters
Answer:
c=20Step-by-step explanation:
remember the pathagorean theorem:
a^2+b^2=c^2
(12)^2=144
(16)^2=256
256+144=400
then the square root of 400 is 20
i hope this helps!
Answer:
c=20
Step-by-step explanation:
The corner market sells potatoes at a rate of 1/2 dollars per potato.
1. Amanda is only able to spend $5 on potatoes. What is the most number of potatoes she can buy?
2. Sam wants to buy 15 potatoes. How much will that cost him?
Answer:
The cost of 15 potatoes is $7.50
Step-by-step explanation:
The potatoes are sold at a rate of $0.5 per potato.
1. Given Amanda can only spend $5 on potatoes at that price, she can buy at most $5 / 0.5 = 10 potatoes.
Amanda can buy at most 10 potatoes
2. Sam wants to buy 15 potatoes at that very same price. The cost of 15 potatoes is:
15 * $0.5 = $7.50
The cost of 15 potatoes is $7.50
If I saved up $10 every 2 weeks, in a year I would have saved up $260. But, if I had saved up $20 per month, I would only have saved $240. Why do they have different totals?
I need help ASAP please. (Ill give 15 points if you help!)
Alisha used the Given table to find the slope of a linear relationship . Find her Error and correct it :
Alisha's Answer:
The Slope ( m ) = 6
Answer:
Please mark me as a brainlist.............
Thank you.....
Answer:
Alisha might have not taken respective input values with the output values and the correct slope is 3.
Step-by-step explanation:
The general form of a linear relationship is given by the equation
[tex]y = mx+b[/tex]
Here m is the rate of change of the linear relationship which is calculated as:
[tex]m = \frac{change\ in\ y}{change\ in\ x}[/tex]
Change in y is given by the difference of two outputs and x is given by difference of two inputs
So taking the set of outputs and inputs
(1,2) and (2,5)
[tex]m = \frac{5-2}{2-1}\\m = \frac{3}{1}\\m = 3[/tex]
Alisha might have not taken respective input values with the output values and the correct slope is 3.
Sam wrote down the counting numbers from 12 to 11 (including)
a) How many natural numbers did she write?
b) how many digits?
c) what is the sum of all the digits?
Answer:
Whereby the counting numbers Sam wrote down are 12 and 11, we have;
a) The number of natural numbers = 2
b) The number of digits = 4
c) The sum of the digits is 5
Step-by-step explanation:
The natural numbers are also known as the counting numbers or the ordering numbers and includes positive whole numbers from 1 and above
b) A digit is a number from 0 to 9, which can be used singly or combined to form a number
There are two digits each in 12 and 11, therefore, there are a total of 4 digits in both numbers
c) The sum of all the digits is given as follows;
The sum of the digits = 1 + 2 + 1 + 1 = 5.
2^3 times 2^3+=
what does this eqaul
Answer:
36
Step-by-step explanation:
2x3 x 2x3 = 36
Sorry if this didnt help
Answer:
64
Step-by-step explanation:
2^3 = 8
8*8=64
gib braneles C:
QUICK!!!!!! will give brainliest!!
Answer:
-263
Step-by-step explanation:
just evaluate
Answer:
The figure is a parabola
Step-by-step explanation:
Find the area of a square with a side that measures 2.2 centimeters.
Answer:
4.84cm squared
Step-by-step explanation:
square has 4 equal sides area = l x w l and w are 2.2*2.2
2.2*2
4.84cm squared
Hope this helps :D
Answer:4.84 cm^2
Step-by-step explanation:
Area = Length x Width
Area = 2.2 x 2.2
Area = 4.84 cm^2 (centimeters squared)
Find the measure of the arc indicated. The lines are tangent
Answer:
w
Step-by-step explanation:
what is the value for both of these ? need help asap
Answer:
Question 3) x=32
Question 4) x=30
Step-by-step explanation:
180-122=58
180-58-90=32
180-130-20=30
9.054 x 10^-6 in standard form
Required standard form is 0.000009054.
What is value of 9.054 x 10^-6 in standard form ?
Some examples of standard form of Mathematics,
Example -1:
[tex]0.5 \times {10}^{2} \\ = 0.5 \times 100 \\ = 50[/tex]
Example-2 :
[tex]0.254 \times {10}^{ - 2} \\ = \frac{0.254}{ {10}^{2} } \\ = \frac{0.254}{100} \\ = 0.00254[/tex]
Example-3 :
[tex]3.3548 \times {2}^{2} \\ = 3.3548 \times 2 \times 2 \\ = 13.4192[/tex]
Example -4 :
[tex]5.55 \times {3}^{2} \\ = 5.55 \times 3 \times 3 \\ = 48.95[/tex]
So,we can say that standard form means simplest form.
Here given,
[tex]9.054 \times {10}^{ - 6} \\ = 9.054 \times \frac{1}{ {10}^{6} } \\ = \frac{9.054}{1000000} \\ = 0.000009054[/tex]
Standard form related two more questions:
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-3=12y-5(2y-7). Solve for y
Answer:
y = -19
Step-by-step explanation:
-3 = 12y -5(2y - 7)
distribute -5 to (2y -7)
-3 = 12y - 10y + 35
subtract 35 from both sides and simplify
-38 = 2y
divide both sides by 2 to isolate y
-19 = y