The Answer is 3
All you need to do is multiply 7 and 1 then divide.
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].
Tayler tried to evaluate the expression (22-5\times3) + 6(22−5×3)+6left parenthesis, 22, minus, 5, times, 3, right parenthesis, plus, 6. Her work is below. \begin{aligned} &\phantom{=}(22-5\times 3) + 6\\\\ \text{Step }1:\quad&=(22 -15) + 6 \\\\ \text{Step }2:\quad&=7 + 6 \\\\ \text{Step }3:\quad&=1 \end{aligned} Step 1: Step 2: Step 3: =(22−5×3)+6 =(22−15)+6 =7+6 =1
Step-by-step explanation:
Given the expression that Tayler tried to evaluate as:
[tex](22-5\times3) + 6[/tex]
We will solve this equation using PEDMAS
Multiplication before addition and subtraction
On solving:
[tex]Step \ 1\\= (22-5\times3) + 6\\= (22-(15)) + 6\\\\Step\ 2\\= (22-15) + 6\\\\Step \ 3\\= 7+6\\= 13[/tex]
From the steps above, we can see that Tayler made an error in step 3 by taking the difference of 7 and 6 and arriving at 1 instead of summing up to get 13 as shown above.
Help please it’s confusing ⚠️⚠️
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 so eassy 2 puls 2
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
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].
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:
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!!
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
#SPJ2
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
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
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
Can someone please help me asap I’ll mark brainlist!!!!!
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
If 3 + w=b, which expression is equivalent to w?
Answer:
W= B-3 or 3=B-W
Step-by-step explanation:
just add or subtract either
Answer:
w = b - 3
Step-by-step explanation:
3 + w = b
-3 -3
w = b - 3
Hope this helps!
What is the midpoint of coordinates (-3,5 and 2,-7)
Answer:
-8.5
Step-by-step explanation:
Rewrite in simplest terms: -7(2u-6v)-7v-3(10v+u)
Answer:
11v+35v-30
Step-by-step explanation:
The price of a gallon of unleaded gas has risen to $2.86 today. Yesterday's price was $2.81. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
1.8%
Step-by-step explanation:
2.86-2.81 = .05 (find the difference between the two numbers)
2.81 / .05= .017 (divide the original number)
Multiply 100 to get a percentage
1.8% (rounding to the nearest tenth)
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
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]
Write the expression as a power: 2^9·32
Answer:
[tex]2^{14}[/tex] is the answer. Hope this helped!!
Step-by-step explanation:
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 :))
Luke has a situation on his hands. A pipe in his house froze and cracked from cold weather. Now he has a water leak. The leak has been releasing of a liter of water every 2 hours. If w represents the amount of water lost and h represents the number of hours, which equation represents this proportional relationship?
Answer:
1/2h=W
Step-by-step explanation:
1 liter/2 hours
1/2 liter/hour
W=Amount of water lost
H=hours
Answer:
w=1/3h
Step-by-step explanation:
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
Jack and Jill are saving for their first car. Jack saves $7 for
every $10 Jill saves. If Jill has $350 in her savings account,
then how much has Jack saved?
Answer:
Jack has saved $245.
Step-by-step explanation:
You divide $350 by $10, and you get 35. Then multiply Jack's $7 by 35 and you get $245!
Hope this has helped you! :)
Happy Halloween!~
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
7th grade math , I’ll give brainliest
Answer:
3. 11
4. -8
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).
please answer this asap
Answer:
i think its D and if im wrong it maybe would 0or should be B
Step-by-step explanation:
if f(x)=2^(x)+3, what is the value of f(5)?
Answer:
35
Step-by-step explanation:
f(x)= 2^(x)+3
f(5)=?
we know,
f(5)= 2^(5)+3
=32+3
=35#
If the following angle pairs are supplementary, then what is the
measure of the missing angle?
ZA= 40°
ZB=?