The equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2
What is slope of line ?
Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.
Here, the equation of line given is y = -2x-7 first calculating its slope ([tex]m_{1}[/tex]) by comparing it with slope- intercept form of line i.e. y = mx+c
Therefore, the slope of the given line [tex]m_{1}[/tex] is -2.
Now the slope ([tex]m_{2}[/tex]) of the line perpendicular to the given line is calculated using relation :
[tex]\begin{aligned}m_{1}m_{2}&=-1\\m_{2}&=\frac{-1}{-2}\\&=\frac{1}{2}\end{aligned}[/tex]
Now the equation of the line passing through (4,3) and slope 1/2 will satisfy the equation y = mx +c
[tex]\begin{aligned}y&= mx +c \\3&=\frac{1}{2}\cdot 4+c\\c&=1\end{aligned}[/tex]
Therefore the equation of line perpendicular to the line y = -2x-7 passing through (4,3) is : 2y = x+2
[tex]\begin{aligned}y&= mx +c \\y&=\frac{1}{2}x+1\\2y&=x+2\end{aligned}[/tex]
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Solve v2 = 47.
please :)
Answer:
v=± 47=±6.8557
Step-by-step explanation:
(1): "v2" was replaced by "v^2".
(2) Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: v^2-(47)=0
The value of v is ± 6.856.
What is a perfect square ?A number when taken square root gives an integer is a perfect square and when a number is not a perfect square and we have taken it's square root the number is an irrational number.
According to the given question v² = 47.
∴ v = ±[tex]\sqrt{47}[/tex].
We know that v is between 6 and 7 but more closer to 7 as [tex]\sqrt{49}[/tex] is ±7 and [tex]\sqrt{36}[/tex] is ±6 we we can write an approximate value of v which is ±6.9 or we can use a calculator for which v = ± 6.856.
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Find the percent change.
From 112 to 140
Enter the correct answer in the box
Answer:
25% increase
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
(V2−V1)|V1|×100
=(140−112)|112|×100
=28112×100
=0.25×100
=25%change
=25%increase
The sum of two numbers is 12 and the sum of their squares is 80. Find the numbers.
Answer:
Let us consider that the two numbers be x and y . The sum of two numbers is 12. The sum of their squares is 80. The numbers are 8,4.
Step-by-step explanation:
Hope this helps if it does pls give brainliest
33) AUVW ~ AQRS
22
159
U
W
26
?
59
R
13
S
Answer:
.22+59+26+w=180
107+w=180
w=180-107=81
second triangle
59+13=72
180-72=108
Please help me out on this.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Ingredient 8 servings
Dried split peas: 2 and 1/4 c.
Water: 2 qt
Chopped onion: 3/4 c.
Chopped celery: 1 c.
Ham shank: 2 lb.
The basic recipe for split pea soup serves 8 people. Find the amount of each ingredient needed to serve 32 people.
Answer:
Dried split peas: 9 cups
Water: 8 quarts
Chopped onion: 3 cups
Chopped celery: 4 cups
Ham shank: 8 pounds
Step-by-step explanation:
Since the basic recipe serves 8 people and you need to serve 32 people, you just multiply each ingredient by 4. (32÷8=4)
Dried split peas: 2 1/4 c. x 4 = 9 cups
Water: 2 qt x 4 = 8 quarts
Chopped onion: 3/4 c. x 4 = 3 cups
Chopped celery: 1 c. x 4 = 4 cups
Ham shank: 2 lb. x 4 = 8 pounds
X + 3 = x + 6
is it one solution no solution or infinitely solutions
Answer:
No solutions I think.
Step-by-step explanation:
subtract j from 9, then subtract 3 from the result
Answer
(9-j)-3
Step-by-step explanation:
Answer:
j-12
Step-by-step explanation:
without knowing what j is all you can do is combine like terms like -3 and -9
Please help me!!
If anyone could help me solve this that would be great.
“To graph y=2/3x+4, Emaan plots one point at (0,4) and a second point 2 units right and 3 units up at (2,7). He then draws a line through (0,4) and (2,7). What error did Emaan make?”
The “2/3x” area is meant to be a fraction.
Answer:
The error he made was adding 3 to the y value and adding 2 to the x value, instead of adding 2 to the y value and 3 to the x value.
Step-by-step explanation:
The slope can also be called "rise over run," or the change in y divided by the change in x.
In this situation, the slope is 2/3, meaning that a change in y of 2 units will increase the x value by 3 units.
Emaan switched these values when plotting the points, and did a change in 2 x values with a change in 3 y values.
From the point (0, 4), instead of plotting the point (2, 7), he should have plotted (3, 6).
The error he made was adding 3 to the y value and adding 2 to the x value, instead of adding 2 to the y value and 3 to the x value.
What integers are less than -4
Answer:
Integers less than -4, are -5 and to negative infinity of whole numbers
Step-by-step explanation:
Answer:
It is anything that is less then -4
Step-by-step explanation:
-5 >-4
BRAINLIST if right please help
Answer:
The third one
Step-by-step explanation:
can you help me g=x-c+y for x
Answer:
c=−g+x+y
Step-by-step explanation:
.jjkjjjhygybhnjuikjuhyb
Answer:
okay...
Step-by-step explanation:
Find the opposite of 16.22
Answer:
-16.22
^THERE IS YOUR ANSWER^
Answer:
-16.22
Step-by-step explanation:
I am sorry if this is wrong
Bonus: Three times my age plus four is one hundred and seventy
five. How old am I?
Answer:
57
Step-by-step explanation:
Answer:
525
Step-by-step explanation:
age * 3 = 175
175 * 3 = age
age = 525
How do you solve this problem?
what's the value of x
f − 23.99 = 18.76
A.
f = 42.66
B.
f = 41.66
C.
f = 42.75
HELP ASAP! Plz
Answer:
f= 42.75
Step-by-step explanation:
just smart
Answer:
c your welcome
Step-by-step explanation:
i have done this connexus
The Magic Carpet charges $35 for installation and $0.25 per square yard of carpeting. The Carpeteria’s installation price is $27 but the store charges $0.50 for each square yard. What number of square yards of carpeting, x, will make Carpeteria cost more than Magic Carpet?
Answer:
si papi
Step-by-step explanation:
Round 8,499 to the nearest hundreds
Answer:
8,500
Step-by-step explanation:
Answer:
8,500
Step-by-step explanation:
Which letter represents (-2,3)?
Answer:
N represents (-2,3)
Step-by-step explanation:
x axis of N = -2
y axis of N = 3
Answer:
O B. N
Step-by-step explanation:
the -2 meant go back 2 on the X while the 3 shows to go up on the Y axis
Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no wind.
Answer:
6.5 mph
Step-by-step explanation:
Given that :
Emanuel can skateboard 3.375 miles against a 2-mph wind in the same amount of time he skateboards 6.375 miles with a 2-mph wind. Find the speed Emanuel skateboards with no
Wind speed = 2mph
Let time taken to skateboard = t
Speed = distance / time
Distance of 3.375miles against 2 mph wind
Let skate speed = x
skate speed - wind speed=
(3.375 miles / t) + 2mph = x - - - (1)
Distance of 6.375miles with 2 mph wind
(6.375 miles / t) - 2 mph = x - - - - (2)
Equate (1) and (2)
(6.375/ t) - 2 = (3.375/ t) + 2
(6.375 - 3.375) / t = 2 + 2
3 / t = 4
3 = 4t
t = 3/4
t = 0.75
Hence, speed without wind will be :
(3.375 miles / 0.75) + 2mph = x
4.5mph + 2mph = 6.5 mph
Use the distributive property to write an equivalent expression.
9(x + 10)
Answer:
9x + 90
Step-by-step explanation:
Given
9(x + 10) ← multiply each term in the parenthesis by 9 )
= 9x + 90
can I get helpppppppppppppppppppppppp??
Answer:
6 + -15? That does equal -9.
2. Which of the following is not a solution of 3x = 5y - 1?
A. (3,2)
B. (7,4)
C. (-1/3, 0)
D. (-2,-1)
Answer:
c d a suduududududhsjshsjsid
A beaker contains 0.5 liter of a solution. Jordan uses 0.08 of the solution for an experiment. How much of the solution does Jordan use?
Answer:
400 milliliters or 0.4 liters
Step-by-step explanation:
Help me please! I need answer right now.
Answer:
t,4 triangles, right arrow, 27, 57, -14, -38,49,144, 4,1/4
Step-by-step explanation:
1) A TV is on sale for 20% off. If the sale price is $700, what is the original
Was the original price?
Answer:
140
Step-by-step explanation:
20% of 700
so 20/100 * 700
20*7
140
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The cube of the sum of a number and 8.
Answer:
This doesn´t make sense please clarify.
Step-by-step explanation:
A person can pay $8 for a membership to the science museum and then go to the museum for just $15. For a member of the science museum, what is the total cost of 2 visits?
Answer:
its option A
Step-by-step explanation:
Answer:
I am pretty sure it is A.
Step-by-step explanation:
I think it is A.
(2a + b) (2a + 3b) =
Answer:4 a 2 + 8 a b+ 3 b 2
Step-by-step explanation: