What slope would make the lines perpendicular? y = 4x + 2 y = -x + 2 Enter the number that belongs in the green box.
Answers
Answer:
The missing number in the green box is 4
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1, which means
if the slope of one of them is m, then the slope of the perpendicular line to it is the negative reciprocal ([tex]\frac{-1}{m}[/tex])The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptLet us solve the question
∵ The equation of the first line is y = 4x + 2
→ Compare it with the form of the linear equation above
∴ m = 4
∵ m is the slope
∴ The slope of the line is 4
∵ The slope of the perpendicular line should be the negative reciprocal of it
∵ The negative reciprocal of 4 is [tex]-\frac{1}{4}[/tex]
∴ The slope of the perpendicular line is [tex]-\frac{1}{4}[/tex]
→ Substitute it in the equation
∴ y = [tex]-\frac{1}{4}[/tex] x + 2
∴ The missing number in the green box is 4
Related Questions
3x – 17 = 4 X = whats the answer to this
Answers
Answer:
x=-17
Step-by-step explanation:
Answer:
[tex]3x - 17 = 4x \\ \\ 3x - 4x = 17 \\ \\ x = - 17[/tex]
What is the difference between percent difference and percent change?
Answers
Answer:
Percent change is comparing one current number or value to another.
Percent difference is comparing a number or value to another number or value.
Step-by-step explanation:
.. The zeroes of the quadratic polynomial x2 +
kx + k, where k = 0,
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal
Answers
Answer:
d.
Step-by-step explanation:
They are always equal because if k = 0 we are left with x^2.
Answer:
it is d at lease I try think sets DVDs fragPls help me with #18 it has to be in simplest form 10 points
Answers
Answer:
-2p + 4
Step-by-step explanation:
7p - 1 - 9p + 5
7p - 9p + 5 - 1
-2p + 4
Marta’s fruit stand sold x oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108. Which bar diagram represents the equation?
Answers
Step-by-step explanation:
Thursday = x
Friday = 2x (Since thursday is x and she landed up selling twice the amount she did on thursday, friday would be 2x)
Thursday + Friday = 108
For this problem you would need to find the value of x so you would need to substitute x into the equation that was created for the oranges sold on both the days
Thursday + Friday = x+2x = 108
x +2x = 108
3x = 108
x = 108/3
x= 36
Since x is thursday, Marta sold 36 oranges on thursday
To find the amount of oranges sold on friday you would need to multiply x, which is 36, by 2
2x = 2(36) = 72
72 oranges were sold on friday
Hope this helps!!!
Answer:
A on edge
Step-by-step explanation:
can anyone please help me with this question?
Answers
Answer:
13
Step-by-step explanation:
A is going to be my version of the triangle:
if A ABC =~ A GHI then all of the line segments and area should be the same.
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet. A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
Answers
Answer:
The length of the actual bakery is 936 inches or 78 feet
Step-by-step explanation:
From the question we are told:
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.
Let both the measurement of the shopping center and scale drawing be written in feet
1 foot = 12 inches
6 foot = x
Cross Multiply
x = 6 × 12 inches
x = 72 inches
Hence, the scale drawing =
Scale drawing : shopping center
1 inch = 72 inches
A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
This is calculated as:
1 inch = 72 inches
13 inches = x inches
Cross Multiply
x = 13 × 72 inches
x = 936 inches
The length of the shopping center = 936 inches
We convert back to feet
= 12 inches = 1foot
936 inches = x
Cross Multiply
12x = 936 × 1
x = 936/12
x = 78 feet
Therefore the length of the actual bakery is 936 inches or 78 feet
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29
Answers
Answer:
C. 0.24
Step-by-step explanation:
A carton contains 1.92 liters of milk. There are 8 servings in the carton. How many liters of milk are in each serving? A. 0.14 B. 0.19 C. 0.24 D. 0.29
From the above question:
8 servings = 1.92 liters of milk
1 serving = x liters
Cross Multiply
8 × x liters = 1 × 1.92 liters
x liters = 1.92 liters/8
x liters = 0.24 liters
There are 0.24 liters of milk, in 1 serving
Answer:
0.24
Step-by-step explanation:
A line passes through the point (-8, -1) and has a slope of
-5/4.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y=-5/4x-11
Step-by-step explanation:
Plug in (-8,-1) into the equation
Get -1=-40/4
b=-11
Final equation: y=-5/4x-11
Answer:
y= -5/4x-11 is the Correct
s = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. *
A) 30 m, 30 m/sec
B) 44 m, 22 m/s
C) 18 m / sec , 27 m /sec
D) 30 m / sec , 15 m /sec
Answers
Answer:
no choice
use calculus to find vav
s'=v=12t+3
v(0)=3
v(2)=27
so vav=(27-3)/2
vav=12
Help me please!!!:):)
Answers
Answer:
4/7x310=177 1/7
8/8x310=310
1 1/6x310=361 2/3
Step-by-step explanation:
Hope THis Helps :)
Answer:
4/7*310 = 177.142857
8/8*310 = 310
1 1/6*310 = 361.666667
So the order would be 4/7, 8/8, 1 1/6
Hope this helped! :)
subtract: 5/8 - 1/4
A. 1/4
B. 3/8
C. 1/2
D. 3/4
Answers
Answer:
B
Step-by-step explanation:
I checked it and it is right hope this helps!
Answer:
Step-by-step explanation:
Here is a polygon. A scaled copy of the polygon is created using a scale factor of 1/2. What are the new side lengths in the copy?
Answers
Answer:
3 by 4
Step-by-step explanation:
Given the dimension of the polygon as 6 by 8
If the scale factor is 1/2, the new side length is gotten by multiplying both dimensions by 1/2 as shown:
For the side length 6:
New length = 1/2 * 6 = 3
For the side length 8:
New length = 1/2 * 8
New length = 4
Hence the new side lengths in the copy is 3 by 4
Stephen can deliver 14 newspapers in 20 minutes. How many HOURS will it take him to deliver 126 papers?
A) 88.2 hours
B) 180 hours
C) 3 hours
D) 1.47 hours
Answers
20 minutes is 1/3 of an hour
14 x 3 = 42
He delivers 42 papers per hour
126 / 42 = 3 hours
The answer is c
A circle has a circumference of 5 π. What would the area of the circle be?
Answers
So around 15.707
Let $p\left(x\right)=x^3-3x^2-10x+24$p(x)=x3−3x2−10x+24 . What is the remainder when $p\left(x\right)$p(x) is divided by $x-1$x−1 $?$?
Answers
Answer:
84657
Step-by-step explanation:
i need help please with all
Answers
Answer:
13. 230°
14. -3
14. 14
15. 9
Step-by-step explanation:
I'm srry if these are wrong
Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?
Answers
Answer: At 5.5 hours they will be 770 km apart.
Step-by-step explanation: Divide the distance by the total speed at which they are moving apart.
60 km/h + 80km/ = 140 km/h
770 km ÷140 km/h = 5.5 hours
Will give brain for good answer.
-1/2x = -7
Answers
Answer:
x = 14
Step-by-step explanation:
Step 1:
- 1/2x = - 7 Equation
Step 2:
x = - 7 ÷ - 1/2 Divide 1/2 on both sides
Step 3:
x = - 7 × - 2 Flip the Fraction
Answer:
x = 14 Multiply
Hope This Helps :)
A composite function can be written as w(u(x)), where u and w are basic functions.
Is h(x) = (x2 + 3x + 2)5 a composite function? If so, what are the "inner" and "outer" functions?
Choose 1 answer:
A
h is composite. The "inner" function is x2 + 3x + 2 and the "outer" function is x5.
h is composite. The "inner" function is 25 and the "outer" function is x2 + 3x + 2.
C
h is not a composite function.
Answers
Answer:
A
Step-by-step explanation:
Yes , h(x) is a composite function
A composite function involves putting one function into another
In this case;
x^5 will be the outside function while what we have in the bracket is the inner function
Given that g(x)=2x^2-5. Calculate g(x+4)+2
Answers
Answer:
[tex]2x^2+16x+29[/tex]
Step-by-step explanation:
Given that,
[tex]g(x)=2x^2-5[/tex]
We need to find g(x+4)+2
[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]
Now,
[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]
So, the value of [tex]g(x+4)+2[/tex] is [tex]2x^2+16x+29[/tex]
Write an algebraic expression that represents 3 less than 19 times a number?
1. 3x-19
2. 19x-3
3. 19(x-3)
4. 3-19x
Answers
Step-by-step explanation:
the answer is choice 2 because less than always means a negative number never subtract and i also looked up examples online so it gave me the same answer. YOUR WELCOME
^^^^^^^^^^^^^^^^^^..!!!!!!
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{40x^{3} }[/tex]
rewrite
[tex]\sqrt{4*10*x^{2} *x}[/tex]
pull out the 4 and the [tex]x^{2}[/tex]
2x[tex]\sqrt{10x}[/tex]
a looks good
1. The area of a square tile is 36 square centimeters. What is the length of the tile?
a. 4 cm
b. 6 cm
c. 18 cm
d. 24 cm
Answers
#######################
Can someone please help me with this question!!! Pick The correct layout
Answers
Answer:
B
Step-by-step explanation:
x + y = 90
Your x and y will give you a sum of 90
y= 4x + 6
Your y will be 6+ more then 4 TIMES x
therefore you would do 4 times x plus 6 equals y
Write an equation of the line in point-slope form that passes through the given points.
(5,5) and (6,7)
An equation of the line is
Answers
Answer:
Step-by-step explanation:
point - slope formula: y - y1 = m(x-x1)
we need to find the slope ... or what is m ?
m = rise / run
m = y2 - y1 / x2 - x1
where the given points are (x1,y1) and (x2,y2)
m= 7-5 / 6-5
m = 2 / 1
m =2
now use either point and plug the slope and the point into the point-slope formula
y-5 =2(x-5) :)
In ΔEFG and ΔYXZ, m∠F ≅ m∠X and m∠E ≅ m∠Y. If m∠E = 62° and m∠X = 80°, what is the measure of ∠Z?
Answers
Given:
In ΔEFG and ΔYXZ, ∠F ≅ ∠X and ∠E ≅ ∠Y. If m∠E = 62° and m∠X = 80°.
To find:
The measure of ∠Z.
Solution:
In ΔEFG and ΔYXZ,
∠F ≅ ∠X
m∠F = m∠X = 80°
∠E ≅ ∠Y
m∠E = m∠Y = 62°
Now, in ΔYXZ,
[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex] [Angle sum property]
[tex]80^\circ+62^\circ+m\angle Z=180^\circ[/tex]
[tex]142^\circ+m\angle Z=180^\circ[/tex]
[tex]m\angle Z=180^\circ-142^\circ[/tex]
[tex]m\angle Z=38^\circ[/tex]
Therefore, the measure of ∠Z is 38°.
Answer:
∠Z=38°.
Step-by-step explanation:
Given: ∠E ≅ ∠Y, ∠F ≅ ∠X ≅ ∠∠X and ∠X = 80°.
Refer to the image below:
Since ∠E ≅ ∠Y and ∠F ≅ ∠X, this muse mean that ∠G ≅ ∠Z. Now if ∠X = 80°, ∠F has to equal the same since the two are congruent. If you substitute the rest based off of the given, ∠Z=38°.
Danny has 38 coins consisting of quarters and dimes worth $6.95.How many dimes does he have
Answers
Answer:
would that be 264.1
Step-by-step explanation:
A paddock contains ducks and sheep. There are a total of 42 heads and 96 feet in the paddock. Determine how many ducks and how many sheep are in the paddock using simultaneous elimination.
Answers
Answer:
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Step-by-step explanation:
Let d be the number of ducks and s be the number of sheep
Then according to given statements, the equations will be:
[tex]d+s = 42\ \ \ Eqn\ 1\\2d+4s = 96\ \ \ Eqn\ 2[/tex]
For elimination, multiplying equation 1 by 2 and then subtracting from equation 2:
[tex]2(d+s) = 2*42\\2d+2s = 84\\Subtraction:\\2d+4s-(2d+2s) = 96-84\\2d+4s-2d-2s = 12\\2s = 12\\\frac{2s}{2} = \frac{12}{2}\\s = 6[/tex]
Putting s = 6 in equation 1:
[tex]d+6 = 42\\d = 42-6\\d = 36[/tex]
Hence,
Number of ducks in paddock = 36
Number of sheep in paddock = 6
Number of sheep and Number of duck are 6 and 36
Elimination method:Given that;
Number of total heads = 42
Number of total feet = 96
Find:
Number of ducks and sheep
Computation:
Number of legs in 1 sheep = 4
Number of legs in 1 duck = 2
So,
Assume;
Number of sheep = a
Number of duck = b
So,
a + b = 42 ...... Eq1
4a + 2b = 96 ......... Eq2
Eq2 / 2
2a + b = 48..... Eq3
From Eq 3 and Eq1
a = 6
So,
b = 36
Number of sheep = 6
Number of duck = 36
Find out more information 'Elimination method'
https://brainly.com/question/3580300?referrer=searchResults
A grocer has 18kg of black tea worth 3.5per kg. She wants to mix
Answers
The question is incomplete, the complete question is;
A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?
Answer:
36
Step-by-step explanation:
Let the weight of the green tea used be x kg.
From the question:
We have:
18 kg of black tea at $ 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = $ 63
Cost of green tea is $2.6 per kg. Total cost of green tea is 2.6 * x = $2.6x
Total weight of the mixture is 18 + x kg.
Total cost of the mixture is = $2.9 (18 + x)
Thus,
Total cost of black tea + total cost of green tea = Total cost of the mixture
$63 + $2.6 x = $2.9 (18 + x)
$63 + $2.6x = $52.2 + $2.9x
63 – 52.2 = 0.3 x
10.8 = 0.3 x
x = 10.8/0.3
x = 36
36 kg of green tea is needed