Answer:
please ask proper question or repost it
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15) an equation of the line representing one road is y = -3/4x + 7 create an equation of the line representing the new road that will run perpendicular to the first road
Given:
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).
Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].
New road that will run perpendicular to the first road
To find:
The equation of line for the new road.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
We have,
[tex]y=-\dfrac{3}{4}x+7[/tex]
Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.
Product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{3}{4}\times m_2=-1[/tex]
[tex]m_2=\dfrac{4}{3}[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is
[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]
[tex]y+15=\dfrac{4}{3}(x+3)[/tex]
[tex]y+15=\dfrac{4}{3}x+4[/tex]
Subtract 15 from both sides.
[tex]y=\dfrac{4}{3}x+4-15[/tex]
[tex]y=\dfrac{4}{3}x-11[/tex]
Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].
HELP AGLEBRA 2 LOTS OF POINTS
I need help on this Exponent rules maze, please show your work so I can understand what I did wrong
Step-by-step explanation:
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Answer:
The coordinates of the image of point A are (-1, -6)
Step-by-step explanation:
Let us revise the rule of translation to the left, down, and reflection across the x-axis
If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)∵ The coordinates of point A are (3, 4)
∵ It is translated 4 units left
∴ h = 4
→ By using the 1st rule above
∴ Its image is (3 - 4, 4)
∴ Its image is (-1, 4)
∵ Its is reflected across the x-axis
→ By using the 3rd rule above change the sign of its y-coordinate
∴ The new image is (-1, -4)
∵ It is translated 2 units down
∴ k = 2
→ By using the 2nd rule above
∴ The final image is (-1, -4 - 2)
∴ The final image is (-1, -6)
∴ The coordinates of the image of point A are (-1, -6).
Write the expression as a power: 2^9·32
Answer:
[tex]2^{14}[/tex] is the answer. Hope this helped!!
Step-by-step explanation:
A fair die is rolled 6 times. What is the probability that a 3 is obtained on at least one of the rolls?
A line segment is defined as a part of a straight line connecting two points called
the
A) Arcs
C) Distances
B) Axes
D) Endpoints
Answer: D
Step-by-step explanation:
A line segment is defined as a part of a straight line connecting two points called the endpoints, option D.
---------------------------------
A line segment is a straight line that connects two points.These two points are the extremes of the line segment, that is, the start and the finish, and thus, are called endpoints.This means that the correct option is given by D.For more on line segments and endpoints, you can check a similar problem at https://brainly.com/question/24778489
Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6
Answer:
A!
Step-by-step explanation:
Edge 2021 :)
The solution to the system of equations is a=2, b=-2 and c=0
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equations are
2a+b+c=2 ...(1)
-a+b-C=-4 ...(2)
a-2b+2c= 6 ...(3)
Isolate a for 2a+b+c=2
a=2-b-c/2
substitute a in equation 2 and 3
-2+b+c/2 -b-c=-4
2-b-c/2-2b+2c=6
(3b-c-2)/2=-4
5b+3c+2/2=6
Isolate b for (3b-c-2)/2=-4
b=c-6/3
By simplification we get a=2, b=-2 and c=0
Hence, the solution to the system of equations is a=2, b=-2 and c=0
To learn more on Equation:
https://brainly.com/question/10413253
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7th grade math , I’ll give brainliest
Answer:
3. 11
4. -8
Step-by-step explanation:
A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night. Tara claims that 35:55,45:80,and 20:65 are possible ratios from this date. Jim claims that 35:100,45:100,and 20:100 are possible ratios from this date. Who is correct? Explain
Answer:
Jim is correct
Step-by-step explanation:
A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night.
People who exercise in the morning = 35
= 35/100 = 7/20
Hence, the ratio is 35:100
People who exercise in the afternoon = 45 = 45/100 = 9/20
the ratio is 45:100
People who exercise at night = 20
= 20/100 = 1/5
= The ratio is 20:100
The possible ratios from this date are : 35:100,45:100,and 20:100
Jim is correct
Solve the equation: 9 - 4x = 17
A.X = 4
b.X=-4
C.X = 2
D.X = -2
Answer:
x= -2
Step-by-step explanation:
so D is the answer
Answer:
[tex]\boxed {x = -2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]9 - 4x = 17[/tex]
-Subtract both sides by [tex]9[/tex]:
[tex]9 - 9 - 4x = 17 - 9[/tex]
[tex]-4x = 8[/tex]
-Divide both sides by [tex]4[/tex]:
[tex]\frac{-4x}{-4} = \frac{8}{-4}[/tex]
[tex]\boxed {x = -2}[/tex]
Therefore, value of [tex]x[/tex] is [tex]-2[/tex].
show your work
7(x-8)=2x-31
Answer:
x=5
Step-by-step explanation:
7 (x-8)=2x-31
Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)
7x-56=2x -31
Drag the 2x over to the other subtracting it from 7x.
7x-2x-56=-31
5x-56=-31
Drag the 56 to the other side and add it to -31
5x= -31+56 (or 56-31)
5x= 25
Divide 5x from 25 to get your X
x=25/5
x=5
Hope this helps!!
Sketch the graphs:y =1/3x + 2
Answer:y
=
1
3
x
+
2
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
1
3
y-intercept:
2
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
2
3
3
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
2xy0233
what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction
PLSSS SOMEONE ANCWEE THISS BEGGINGG.
Answer:
The sum of zeros is [tex]\frac{61}{6}[/tex]
Step-by-step explanation:
The Rule of Zero Product
The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:
If a.b=0, then a=0 or b=0
The equation
(m-10)(6m-1)=0
can be solved by applying the mentioned rule:
[tex]m-10=0 \ \ \Rightarrow m=10[/tex]
[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]
The sum of both solutions is:
[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]
The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]
Which expression is equivalent to x−2y ?
Answer:
-2y+x
Step-by-step explanation:
x-2y
-2y+x
Answer:
x+2y+x+2
=2x+2y+2
=2(x+y+1)
Step-by-step explanation:
i hope its right
Based on the results of student voting shown here, which number completes this headline for the school newspaper?
Only_____ % of Students Voted for Hearts and Flowers Theme for Spring Dance
Answer:
5
Step-by-step explanation:
just took the box/ test
Simplify.
–7 – 3x + 5 – 6x
Answer:
-9x-2
Step-by-step explanation:
-7-3x+5-6x
=(-3x-6x) + (-7+5)
=(-9x)+(-2)
= -9x - 2
First, use the associative property of addition to reorder the terms in parentheses. Then, combine like terms and you will get your simplified answer of -9x - 2. Hope this helps!
3) Amani spent half of her weekly allowance on the movies. She made an extra 30 dollars
babysitting. At the end of the week, Amani had a total of 45 dollars left. How much is
Amani's weekly allowance?
Answer:
23
Step-by-step explanation:
write the equation of a line parallel to the line with an equation y=8x+6 and passes through the point (3,9)
Answer:
y = 8x - 15
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 = 8x + 6 ← is in slope- intercept form
with slope m = 8
Parallel lines have equal slopes, thus
y = 8x + c ← is the partial equation
To find c substitute (3, 9) into the partial equation
9 = 24 + c ⇒ c = 9 - 24 = - 15
y = 8x - 15 ← equation of parallel line
The slope between (250,120) and (300,90)
m = − 3/ 5 your welcome
Answer:I think it's -3/5
Step-by-step explanation:mhm
What kind of taxes are likely to pay for universities and police? -
a.
local taxes
b. state taxes
C. federal taxes
d. income taxes
Please select the best answer from the choices provided
A
B
С
D
Answer:
c
Step-by-step explanation:
Answer:
State Taxes.
Step-by-step explanation:
I had a test on this and got it right :))
Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA
Answer:
B) Statement: slope of df = slope of bc
Reason: Transitive Property of Equality
Step-by-step explanation: i just took the test.
Answer:
C. Transitive Property of Equality
Step-by-step explanation:
A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?
Answer:
$42
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
To find the sale price of the tennis racket, multiply the original price by 0.6:
70(0.6)
= 42
So, the sale price of the tennis racket is $42
A package of 4 pairs of insulated socks costs $22.36 . What is the unit price of the pairs of socks ?
Answer:
5.59
Step-by-step explanation:
22.36/4 = 5.59
hope this helps!
Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)
Answer:
11v+35v-30
Step-by-step explanation:
What is the equation of the line through the origin and (2,5)?
A. y = 5/2x
B. y = 2/5x
C. y= 2x
D. y = 5x
Answer:A
Step-by-step explanation:
Rise over run is whats needed in the answer. Since you have a point running through the origin, the slope (5/2) is provided
What is KN + IK?
G H I J K L M N O
The addition of KN and IK is 1.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have been given the number line of G H I J K L M N O
We need to find the addition; KN + IK
KN = 3
IK = -2
Then KN + IK = 3 - 2
KN + IK = 1
Therefore, the addition of KN and IK is 1.
Learn more about addition, please click the link below;
https://brainly.com/question/2577752
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Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?
Answer:
3.33m/s
Step-by-step explanation:
The perimeter of a rectangle is
= 2(L + W)
L = 500m
W = 200m
= 2(500 + 200)
= 2(700)
= 1400m
If it takes Rebekah 420 s to run the entire perimeter of her property.
Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time
= 1400m/420s
= 3.3333333333 m/s
Approximately = 3.33m/s
Is the expression 42 undefined? If not, find
the quotient.
-7
Answer:
-6*-7=42 wdym as in undefined
Step-by-step explanation:
is so eassy 2 puls 2
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
What is the sum of zeros in this equation (m-10)(8m-1)=0? Enter your ancwer as a fraction. PLSSS I RLLYYY NEEDD HELPP
Answer:
m= 1/8, 10
Step-by-step explanation:
(8m − 1)(m − 10) = 0
↓
8m−1=0 → (8m/8)=(1/8) → m=(1/8)
m−10=0 → m=10
m=1/8
m=10