Step-by-step explanation:
Firtsly we know that the slopes must be perpendicular, which means the equations slope would be
[tex] - \frac{1}{2} [/tex]
Now with the slope we can find the y-intercept, which is
[tex]1[/tex]
Therefore the equation is
[tex]y = - \frac{1}{2} x + 1[/tex]
The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.
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]
) Multiply (x − 4)(x2 − 5x − 6). x3 − 9x2 + 14x + 24 x3 − x2 + 26x + 24 x3 − 5x2 + 10x + 24 x3 − 15x2 + 20x + 24 Question 10(Multiple Choice Worth 6 points) (01.03 MC) Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24
9514 1404 393
Answer:
A. x^3 − 9x^2 + 14^x + 24
Step-by-step explanation:
(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)
= x^3 -5x^2 -6x -4x^2 +20x +24
= x^3 +x^2(-5-4) +x(-6+20) +24
= x^3 − 9x^2 + 14x + 24 . . . . matches the first choice
Answer:
The other person is right it is "x^3 − 9x^2 + 14x + 24"
Step-by-step explanation:
They showed their work so i felt like u could just look at theirs!!!
Xoxo
Are these answers right or some wrong? If some wrong plz answer them correct thanks!
You are wrong.
1, 2, 3 and 4 are correct.
5. 75%
6 is also correct
7. 100%
8. 50%
Is y=2x-4 a linear equation?
Answer:
Yes
Step-by-step explanation:
When graphed, the equation will produce a straight line, making it linear.
100 freaking points get it right
Answer:
1
1
2
im sure you know what this means
Step-by-step explanation:
Answer:
cool guy dont know
Step-by-step explanation:
Find the perimeter of a rectangular garden that measures 4 yards by
12 yard.
Answer:
it is 48 yards
Step-by-step explanation:
what You would do is this 12x4, which would equal 48
Answer:
32 yards
Step-by-step explanation:
First we need to know what perimeter is. It's similar but not the same as area. The perimeter is the length around the entire area, or in this case, a garden. We know 2 side lengths of the garden and because it is a rectangle we just have to add another width and length the same as these and add them all together.
4 + 4 + 12 + 12
8 + 24
32
So, the perimeter of the rectangular garden is 32 yards.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!
Answer:
Your answer would be 12
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer! :)
8
The statement “x > 4 and 2x – 4< 6" is true when x is
equal to
A1
B 10
C 5
D 4
Answer:
the new year will have the other
Step-by-step explanation:
u3ueufjfjtjfjfj was calling for an accident that killed
What does 24 square root using perfect squares look like?
Answer:
4.899
Step-by-step explanation:
4.899×4.899=24
I know cause I googled :)
What is the period of y = 4Cos(2x)?
Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___ laps If Lin runs 21 laps at the same rate, how long does it take her? ___minutes
Answer:
a. 1.2 minutes
b. 0.83 laps
c. 25.2 minutes
Step-by-step explanation:
Lin runs 5 laps around a track in 6 minutes.
a. How many minutes per lap is that?
5 laps = 6 minutes
1 laps = x minutes
Cross Multiply
x minute × 5 laps = 6 minutes × 1 laps
x minute = 6 minutes × 1 laps/5 laps
x laps = 1.2 minutes
Hence, it is 1.2 minutes per lap
b. How many laps per minute is that?
6 minutes = 5 laps
1 minute = x laps
Cross Multiply
6 minutes × x laps = 1 minute × 5 laps
x laps = 1 minute × 5 laps/6 minutes
x laps = 0.8333333333 laps
Hence, it is 0.83 laps per minute.
c. If Lin runs 21 laps at the same rate,
5 laps = 6 minutes
21 laps = x minutes
Cross Multiply
x minute × 5 laps = 6 minutes × 21 laps
x minute = 6 minutes × 21 laps/5 laps
x laps = 25.2 minutes
Hence, it takes her 25.2 minutes
Dena has 6.25 inches of blue ribbon, 0.375 foot of orange ribbon, and 0.5 yard of green ribbon. How many inches of ribbon does Dena have altogether?
Show or explain your work through either decimal or fractional calculation.
Answer:
28.75inStep-by-step explanation:
We are expected to convert all units to inches in this problem
Step one:
given data
blue ribbon=6.25 inches
orange ribbon=0.375 foot
green ribbon=0.5 yard
Step one:
convert orange ribbon=0.375 foot to inches
1 ft = 12 in
0.375ft=xin
cross multiply
x=12*0.375
x=4.5in
orange ribbon= 4.5in
convert green ribbon yd to inches
1 yd = 36 in
0.5 yd=xin
cross multiply
x=36*0.5
x=18in
green ribbon= 36in
total lenght in inches =6.25+4.5+18
=28.75in
Please help!
Show your work if you can!
Thank you!
Answer:
4
Step-by-step explanation:
your slope-intercept will be 4
Answer:
y = 4x + 5
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 )
y = 4x - 3 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes
Thus parallel line has m = 4 and c = 5
y = 4x + 5 ← equation of parallel line
There were 42 mangoes in each crate. 12 such crates of mangoes were delivere to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were left after the 4 rotten ones were thrown away? * Your answer
Answer: 50
Step-by-step explanation: 42x12=504. 504-4=500. 500/10=50.
Answer:
Total Mangoes = 50
Rotten = 46
Step-by-step explanation:
50 divided by 10 = 5.
50 minus 4 is 46.
I need help with the range
Answer:
(-2, 10]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -2 and the line's highest point is 10. The value is not defined at -2 since there is an open circle. The value is defined at 10 since there is a closed circle.
Math Glass Worksheet (A lot of points)
Can someone tell me what to put in the rest of these columns
Answer:
You can chose 3 in 5 :o
Step-by-step explanation:
What’s the value of p? Just type in the answer!!!
Answer:
The interior angles of any triangle equal 180.
This is an iscocleles triangle meaning p and i or the base angles are equal.
With those rules we see that 48°+p+I=180
p+I=132
132/2=66
therefore P and I equal 66
P=66°
Step-by-step explanation:
Hey everyone I need help on the questions please!:)
Answer:
a. 1/2
b. 1 hair cut
c. 2.5
Step-by-step explanation:
4/8 divde by 4 to simplify and that gets you 1/2
8/4 is 2 so he does one hair cut every two hours
so you know how many he can do in 2 hours so add it up. It’s going to be 2 people in four hours so it will be half a hair cut in 5 hours
Divide $63 among three men in the ratio 1/2 : 1/4 : 1/8. How much will each get?
Answer:
1st: $36
2nd: $18
3rd:$9
Step-by-step explanation:
The first man gets 4
The second gets 2
The third gets 1
4 + 2 + 1 = 7
63/7 = 9
Each part equals $9
9*4 = 36
9 * 2 = 18
9 * 1 = 9
Check:
36 + 18 + 9 =
63
You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.
1.The ratio of the perimeters (Triangle A to Triangle B) is 14.
2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.
3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.
4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.
5.There is not enough information to make any of the conclusions above.
Answer:
5
Step-by-step explanation:
there is not enough info to because we do not have the detentions are the difference of triangle A or B
What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?
Answer:
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Step-by-step explanation:
The given point is (2,3)
Let (x,y) be a point, when it will be reflected over the line y=-x the coordinates are exchanged and are negated i.e. point (x,y) becomes (-y,-x)
When a point is reflected over a line the distance between the image of point and the line remains the same as the distance between original point and line.
Given point will become: (-3,-2)
Hence,
The image of (2,3) after a reflection over the given line will be: (-3,-2)
Answer:
(−2,3)
Step-by-step explanation:
im just assuming that its was and accedent to add extra
Multiply. Answer with a mixed number in simplest form
6 x 3 3/8
Answer: my answer is 20.25
Answer:
20 1/4
Step-by-step explanation:
6/1 × 27/8 = 162/8 = 162 ÷ 8 = 20 1/4
Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.
Answer:
Step-by-step explanation:
3 1/5 * 7 1/4= 23 1/5
CORRECT ANSWER GETS BRAINLIEST!!!
The least-squares regression equation
y = 120 + 40x can be used to predict the cost of renting a backhoe for x hours. Suppose it costs $325 to rent a backhoe for 5 hours.
Calculate the residual for renting the backhoe for 5 hours, to the nearest hour.
The residual is _____
Answer:
5
Step-by-step explanation:
just did on edge
The residuals is $5
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given, The least-squares regression equation
y = 120 + 40x
This equation can be used to predict the cost of renting a backhoe for x hours
If it costs $325 to rent a backhoe for 5 hours.
We need to Calculate the residual for renting the backhoe for 5 hours,
Plug 5 in place of x in equation
y=120+40(5)
y=120+200
y=320
Since the The observed value is $325.
To find residual for renting the backhoe for 5 hours
We have to separate 320 from 325
325-320=5
Hence the residual is 5.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
There are 2 blue, 3 green and 10 red marbles in a bag. What is the Probability of pulling a red marble, replacing it, then pulling a blue marble?
Answer:
i think its this.. ._.
Step-by-step explanation:
if red is 10, and pulling a blue is 2, there is a 10/15 chace you will get a red, but a 2 out of 15 chance you will get a blue
I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)
Answer:
x = y
Step-by-step explanation:
Given
2x - y = y ( add y to both sides )
2x = 2y ( divide both sides by 2 )
x = y
Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.
Answer:
A, C
Step-by-step explanation:
Maybe A and C because its reflecting in the opposite direction which is 180
1
-3
р
II
03
True
O False
Answer:
i dont understand it
Step-by-step explanation:
Which model represents the product 6×34?
Answer:
204 is the answer
Step-by-step explanation:
204 is the answer
Paki heart nalang po kung nakatulong
Answer:
its the 3rd
Step-by-step explanation:
Which value shows the constant of proportionality for the equation y = 15x?
y
15
x
15x
Answer:
Step-by-step explanation:
15x because its not multiplying or dividing or adding and subtracting