Answer:
lines are perpendicular
Step-by-step explanation:
• Parallel lines have equal slopes
• The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form and extract the slope
3x - 2y = - 6 ( subtract 3x from both sides )
- 2y = - 3x - 6 ( divide through by - 2 )
y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
----------------------------------
4x + 6y = 2 ( subtract 4x from both sides )
6y = - 4x + 2 ( divide through by 6 )
y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
--------------------------------------
[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel
[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1
Thus the lines are perpendicular to each other
how to do this? help me please:)
Answer:
hope it helps.
stay safe healthy and happy.
Pleaaaaaaaaaaaaaaaaaaaaaaase help me
Answer:
It would be the first one
Step-by-step explanation:
Start at 0 and the end shows 2.5
A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?
A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.
The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.
The steps required to construct the line are:
Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.
The construction to this question is attached to this answer for more clarifications.
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Divide.
123 : 5
remainder
123 / 5
100 / 5 = 20
20 / 5 = 4
3 = remainder
Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?
Andrew's charges is an illustration of a linear function
The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
From the table (see attachment), we have the following points
(x,y) = (1,57) and (2,69)
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]
Simplify fraction
[tex]\mathbf{m = \frac{12}{1}}[/tex]
Divide
[tex]\mathbf{m = 12}[/tex]
The equation is then calculated using:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 12(x - 1) + 57}[/tex]
Open brackets
[tex]\mathbf{y = 12x - 12 + 57}[/tex]
Evaluate like terms
[tex]\mathbf{y = 12x +45}[/tex]
Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]
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1. The coordinates tell you that every 12 seconds 5 gallons of water runs from the
hose into a bucket
How many gallons of water were in the bucket after 1 second
Answer:
5/12 of a gallon
Step-by-step explanation:
5 divided by 12 is 5/12
What’s the answer to -4/4+160%+1/5=
Answer:
I think it is 1 4/159
Step-by-step explanation:
i think of a number times it by 2 and minus 2 my answer is nine
Answer:
5.5
Step-by-step explanation:
5.5 times 2 equals 11 minus 2 equals 9
5.5
Step-by-step explanation:
A kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 50°. Find the length of the string. Round your answer to the nearest tenth.
Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57
Step-by-step explanation:
What is the value of the 9 in the number 567.09?
Answer:
After the decimal point (left to right) are the tenths, hundredths, thousandths, ten-thousandths, and so on. The value of the 9 would be 9 hundredths.
:)
beno
8) Sarawong spent half of his weekly
allowance playing mini-golf. To earn
more money his parents let him wash the
dog for $5. What is his weekly allowance
if he ended with $12 ?
Answer:
$ 14
Step-by-step explanation:
12 - 5 = 7 = half weekly allowance
Please help me with this
Answer:
make me brainliest
Step-by-step explanation:
1: x ≤ 18/5
2: x > 4
3: x ≤ 4
4: x < 12
5: x > 1/4
6: x ≤ 2
7: x ≤ 5
8: x > 10
9: x < 5/2
10:7/3x^2 + 4/3x + 12
11: 2 < x < 15
12:25/2 < x ≤ 45/2
Where can Anne be found in the video?
This is the only known video of Anna frank. Answer using a single word,and lower case letter
Answer:
Step-by-step explanation:
An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960
srry i dont know but here
. Write the equation of a line passing through the points (3,-1) and (6,7).
(Hint - Use the Calculator)
Step-by-step explanation:
the most usual firm of line equation is
y = ax + b
a is the slope of the line and is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-interception (the bake of y when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
the slope a :
x changes by +3 (from 3 to 6)
y changes by +8 (from -1 to 7)
so, the slope is +8/+3 = 8/3
our line equation now looks like
y = (8/3)x + b
let's simply use the first point
-1 = (8/3)×3 + b
-1 = 24/3 + b = 8 + b
-9 = b
and the full line equation is
y = (8/3)x - 9
How to solve for x: 2x-9=5
Answer:
5=2x-9
14=2x
x=7
Hope This Helps!!!
Find an equation of a line with a slope of 6 and having the point (3,5) on the line. Will mark brainliest!
Simplify x^3 divide by x^2
i think i did this problem wrong can someone help
Total area of the rectangle = 12 × 24 = 288
The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π
The area of the shaded region is then 288 - 72π.
The probability of picking a point in the shaded region is then
(288 - 72π) / 288 ≈ 0.215
A right triangle has an X exterior angle with a measure of 142° . Can you determine the measures of the interior angles? Explain.
=======================================================
Explanation:
The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.
Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).
Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".
lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of collection?
Answer:
25% increase in records
Step-by-step explanation:
25% = 1/4
1/4 of 12 = 3
she got 3 new records, therefore a 25% increase
What is the surface area of the cylinder with height 8 km and radius 4 km? Round
your answer to the nearest thousandth.
The solution is: the surface area of the cylinder is 301.44 km².
Here, we have,
from the given diagram, we get,
For surface area of a cylinder:
A = 2(π) × (radius) × (height) + 2(π)×(radius squared)
For the first half of that equation:
2(π) × (radius) × (height)
2 × (3.14) × (4) × (8)
= 200.96 km²
Now the second half of that equation, the area of the circle ends:
2(π)×(radius squared)
= 2 × (3.14) × (4) × (4)
= 100.48 km²
Add them up:
200.96 km² + 100.48 km² = 301.44 km²
Hence, The solution is: the surface area of the cylinder is 301.44 km².
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divide 24 apples between Roopa and Amita in ratio 5:7
Answer:
Roopa: 10
Amita: 14
Step-by-step explanation:
5x+7x=24
12x=24
x=2
5x=10
7x=14
Answer:
Step-by-step explanation:
5/7*24
=5/7*24
=17.14 apples
Vanessa walks her puppy 12 of a miles in 20 minutes. How far does she walk her puppy in 1 hour?
Show work. (Type answer in word form)
Answer:
thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles
Step-by-step explanation:
We can convert 1 hour to 60 minutes
[tex]60\div20=3[/tex]
Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12
[tex]3\cdot12=36[/tex] of a miles
thirty-six of a miles
Brainliest please :)
Answer:
Vanessa walks her puppy for 36 miles in 1 hour.
Step-by-step explanation:
She walks 12 miles in 20 minutes
1 hour = 60 minutes
There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles
-Chetan K
For each of the solutions of the equations find two consecutive integers between
which the solution is located :
x²=3
Answer:
0 and 1
Step-by-step explanation:
x² = 3
take the square root of both sides
x = {-√3, √3}
x ≈ {-1.73, 1.75}
Two consecutive integers between 1.73 and 1.75
0 and 1
I really need help right now please i will mark brainliest and give lots of points
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
what is the problem?
Step-by-step explanation:
Ned fills 2/3 of a bucket in 1/5 of a minute. How much time will it take him to fill the bucket?
Answer:
12 min
Step-by-step explanation:
hi guys. been trying to learn how to figure out these types of questions. having heaps of trouble. would someone be able to explain for me thankq
Step-by-step explanation:
you multiplie elements in order
first you multiple 2v by 4,than 2v by -v,than -q by 4 and finally -q by -v
it will be 8v+2v^2-4q+qv
Could someone help answer number 1 please
What is the base of the expression 6^-4?
Answer:For this case we have that by definition it is fulfilled:
Where:
a: It is the base
b: It is the exponent
So, if we have the following expression:
-6 to the power of 4, is equivalent to:
So we have to:
-6: It is the base
4: It is the exponent
-6: It is the base
4: It is the exponent
Step-by-step explanation:
The perimeter of a rectangular picture frame is 120 inches. The length of the picture frame is 10 inches more than the width. Find the length and width of the picture frame.
Answer:
Length is 35 width is 25
Step-by-step explanation: