The equation of the line that is perpendicular to y = 2x + 4 and passes through the point (4, 6) is y = (-1/2)x + 8.
The given equation is y = 2x + 4, which is in slope-intercept form,
y = mx + b, where m is the slope of the line.
The slope of this line is 2.
A line that is perpendicular to this line will have a slope that is the negative reciprocal of 2, which is -1/2.
Using the point-slope form of the equation of a line,
which is y - y(1) = m(x - x(1)), where (x(1), y(1)) is a point on the line, we can find the equation of the line that passes through the point (4, 6) and has a slope of -1/2:
So,
y - 6 = (-1/2)(x - 4)
y - 6 = (-1/2)x + 2
y = (-1/2)x + 8
Therefore,
The equation of the line that is perpendicular to y = 2x + 4 and passes through the point (4, 6) is y = (-1/2)x + 8.
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Evaluate the following expression when x=-5 and y=7: *enter numbers only
Answer
x+y
Step-by-step explanation:
What angles can make a triangle, it has to do with acute, right, and obtuse angles. which two of these three make a triangle?
Answer:
acute angles and an obtuse angle
Step-by-step explanation:
There are different types of triangle. We have;
Right angled
Obtuse triangle
isosceles triangle etc
Angles of an obtuse triangle is made up of two acute angles are an obtuse angle.
hence the two angles that can make up a triangle out of this three is acute angles and an obtuse angle since this two angles literally form an obtuse triangle
Which statement is true about the pattern above?
Answer:
The correct answer is "The next fraction in the pattern is 243/324". Each fraction is the other multipled by 3.
Step-by-step explanation:
673,000 in numeric help!!
Answer:
huh? explain better
Step-by-step explanation:
ANSWER ASAP! MARK BRAINLIEST
3.) In triangle RST, RS = 4, ST = 5, and RT = 6. Which angle is largest?
Hint draw a picture!
A)
B)
C)
D) Cannot be determined
Answer:
So If you start with sinØ = .5
your calculator is programmed to always give the closest angle to 0, and that would be 30°
You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.
Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems
notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102
I would have found angle S first, the largest angle always opposite the largest side.
7^2 = 5^2 + 4^2 - 2(5)(4)cosØ
40cosØ = -8
cosØ = -8/40 = -1/5
Ø = 101.537°
Now you can use the sine law and you will find the correct other angles.
Step-by-step explanation:
Find the next 2 numbers in the sequence: 12,-1, -14, -27, -40.....
Answer:
12, -1, -14, -27, -40, -53, -66
Step-by-step explanation:
The pattern rule here is,
Start at 12, and minus 13 everytime.
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Have a good day :)
Step-by-step explanation:
Given :
12 , -1 , -14 ....And we need to find the next two terms of the sequence. Firstly let's find out the common difference.
[tex]:\implies[/tex] CD = -12-1 = -13
Next two terms :-
[tex]:\implies[/tex] Next terms = -53 , -66
Hence the next terms are -53 & -66 .
Help I need help with this
Answer:
????
Step-by-step explanation:
For the trapezoid below, what is the correct term for RT?
R
E
1
1
TL
w
A. Leg
B. Apothem
C. Base
D. Altitude
HELPPP MEEE ASAPPPPP PLSSSS
WHOEVER ANSWERS FIRST GETS BRAINLIEST
A mechanic had 4 1/2 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained.
How many pints of motor oil did the mechanic use during the day?
4 pt
13 pt
19 pt
31 pt
Answer:
19
Step-by-step explanation:
i took the quiz
What is the coordinate points of (1/2,√3/2) when reflected to quadrant 3?
Answer:
(-√3/2., -1/2)
Step-by-step explanation:
This is a reflection in the line y = -x.
So x = 1/2 becomes y = -1/2
and y = √3/2 becomes x = -√3/2.
I really need help with this! Marking the best answer as brainliest!
Answer:
0, 3, -6, 7
Step-by-step explanation:
A rational number equivalent to 5/7 is
5/7 is 5÷7
so
5÷7 = 0.7142857143
Solve for x.
A) 13
B) 26
C) 11
Answer:
13
Step-by-step explanation:
Once again we are looking at inscribed angles and intercepted arcs. Like stated previously an inscribed angle is equal to half its intercepted arc
That being said we want to create an equation to solve for x
The equation would be 7x + 5 = 192/2
We now solve for x
step 1 simplify
192/2=96
now we have 7x + 5 = 96
step 2 subtract 5 from each side
5 - 5 cancels out
96 - 5 = 91
7x = 91
step 3 divide each side by 7
7x/7 = x
91 / 7 = 13
we're left with x = 13
What is the probability that Sarah will not select the queen of hearts?
Answer:
?
Step-by-step explanation:
Answer:
1/52
Step-by-step explanation:
There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.
please help me if u can i need a good grade on this please and thank you have a good day.
Answer:
[tex]yes (k) = \frac{1}{9}[/tex]
Of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and
12 clients had hair in other colors. Considering this data, how many of the next 12 clients to
get haircuts should you expect to have black hair?
Answer: 3
Step-by-step explanation:
The number of getting the black hair color clients will be 4.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of samples
Given the of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and 12 clients had hair in other colors.
The probability is:-
P = 4 / 12
The number of clients having black color hair is calculated as:-
Number = ( 4 / 12 ) x 12
Number = 4
Therefore, there will be 4 people getting black hair colors.
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The figure shows a large triangle divided into two smaller triangles what is the value of x in the figure
Answer:
40
Step-by-step explanation:
Find the other missing angle, which is supplementary to 100 first.
Supplementary angels are a sum of 180
The missing angle is 180-100 = 80
Now use that to find missing angle x
All angles in the triangle have a sum of 180
180 = 60+80+x
180-60-80=x
40 = x
A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?
Answer:
191 Feet.
Step-by-step explanation:
Answer: Your answer should be 191!
Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?
Answer:
4/13
Step-by-step explanation:
Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13
pls help!!!!!!!!!!!!!!!
Answer: The radius would be twelve
Step-by-step explanation:
The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.
Please help :') Estimate 15 divided by 2.57
Answer:
5.83
Step-by-step explanation:
15 ÷ 2.57 = 5.8
mark as brainllest
the answer is 5.83
hope it's help
Who are some good you tubers to watch?
Answer:
Cocomelon
Their videos are pretty good!
HELPLPALPLAPLPL PLEASE BRAINLIEST
Answer:
2/3
Step-by-step explanation:
[tex]p( \frac{2}{6} + \frac{2}{6} ) \\ p = \frac{4}{6} \\ = \frac{2}{3} [/tex]
i need to find the square root of √16
Answer:
4
Step-by-step explanation:
I don't know how to explain this other than use a calculator.
Hope that this helps!
Need help ASAP. Please and thanks!:
Four of the interior angles of a hexagon measure 92°, 100°, 94°, and 140°. The remaining two angles each measure (x−32)°. What is the value of x? Justify your response.
A. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 123°
. Thus, (x−32)°=123°, and so x=155.
B. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 294°. Thus, (x−32)°=294°, and so x=326.
C. The sum of all interior angle measure is 720°
, so each angle measuring (x−32)° has a measure of 147°
. Thus, (x−32)°=147°, and so x=179.
D. The sum of all interior angle measure is 540°
, so each angle measuring (x−32)° has a measure of 246°. Thus, (x−32)°=246°, and so x=275.
Answer:
The answer is x=294 (B)
Step-by-step explanation:
Remember, all interior angles of a hexagon add to 720.
So add all the given numbers first.
92+100+94+140+x= 720
426+x=720
-426 from both sides
x= 294
I know this is a week later since you posted the question, sorry.
What is the median for the numbers 1,2,3,4,5,6,7,8,9,10??
Thanks
Answer:
5.5
hope this helps
have a good day :)
Step-by-step explanation:
helpppp pleaseee
NO LINK
Answer:
The graph increases
Step-by-step explanation:
© In a class full of men and women,4/9 of the class are women.
What is the ratio of men to women in its simplest form?
Answer:
4:9
Step-by-step explanation:
What is the solution of the quadratic equation.
Equation: 2x + 7x - 5= 10
Step-by-step explanation:
2x+7x-5=10
2x+7x= 10+5= 15
2x ×9=15
2x =15-9=5
x=5/2=2.5
hope it helped
Hari bought 5 apples at Re 1 and sold 4 apples at Re 1. Find the profit or loss in percentage.
Step-by-step explanation:
C.P=5×1=Rs.5
S.P.=4×1=Rs.4
Loss=C.P.=S.P.
=Rs.5-Rs.4
=Re.1
loss%=loss/C.P ×100
=1/5×100%
=20%