Answer:
y = [tex]-\frac{1}{2}[/tex] x + 9
Step-by-step explanation:
Given parameters:
Coordinates = (-2,8)
Equation of the line y = 2x + 5;
Unknown:
Linear equation of a line perpendicular = ?
Solution:
From the given expression, a line perpendicular will have a negative inverse of the slope given.
y = 2x + 5
Equation of a line is y = mx + c;
y and x are the coordinates
m is the slope
c is the intercepts
y = 2x + 5 ;
The slope is 2;
A line perpendicular will have a slope of [tex]-\frac{1}{2}[/tex]
Since y = 8 and x = -2, let us find c;
8 = 2 x [tex]-\frac{1}{2}[/tex] + c
8 = -1 + c
c = 8+1 = 9
The equation of the line is;
y = [tex]-\frac{1}{2}[/tex] x + 9
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
Check my answers plz <3\
Answer:
all three are correct
Step-by-step explanation:
Find the slope of the table
Answer:
y= -.5x+2
Step-by-step explanation:
Asappppp , pls help me :((
Answer:
Not a function
Step-by-step explanation:
This is not a function because every x value has more than one y value. Think about it this way. If you have a person and you are telling them to go to three different places at once, they can't. That means this isn't a function. Hope this helps!
Answer: That is not a function
Hope it helped
Step-by-step explanation:
Can anyone give me the answer?
Answer:
The 2nd one/Green
Step-by-step explanation:
A plane figure with five straight sides and five angles.
My Fav Football team what’s yours? Follow and Like
Answer:
I don't like Football...
Step-by-step explanation:
Answer: My fav is the New York Giants
Step-by-step explanation:
please can someone solve
Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?
Answer:
34,567-22,999=11,568
Zack delivers mail for the post office.everyday he walks a seven mile route.How many miles does Zack walk in one month if he works 22 days a month
If im right give me brainliest
Answer: 154
Step-by-step explanation: 22 represents days 7 represents miles he walks a day i think you to have to multiply. 22 times 7 is 154
Jessica wants to go on a school trip next month. The trip will cost $100 and she already has $10 and plans to babysit for $5 an hour to earn the rest of the money.
A. Write an equation that could be used to determine h, the number of hours Jessica needs to babysit to earn $100.
B. From your equation, determine the number of hours she needs to babysit.
Answer:
Step-by-step explanation:
100=10+5x x is the hours she needs to babysit
90=5x
x=18
She needs to babysit for 18 hours at $5 an hour if she already has $10
plz help me with thi quston
Answer:
448000
Step-by-step explanation:
First 10^4 is just 10*10*10*10=10000
44.8*10000 = 448000
Hope this helped!!
Answer:
4.48 x 10^5
Step-by-step explanation:
44.8 x 10000 = 448000 = 4.48 x 10^5
I WILL GIVE 50 POINTS AND BRAINLIEST. Now do I have ur attention
:P
Say some interesting fact or something cool or funny. Winner gets brainliest
Answer:
the same type of skin on your lips is the same type of skin on you bo- it wont let me say it haha
Answer:
What's the best thing about Switzerland.
Answer:
I don't know, but the flag is a big plus.
Step-by-step explanation:
2(x+y) = 5
How would I solve for x ?
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28
Answer: 28
Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28
Answer:
the answer is D $28
Step-by-step explanation:
What is the next term in the following sequence? 54, -18, 6,.....
Please answer all 3 for 20 points
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue car: 30.8 miles per galon
Red car: 27 miles per galon
Blue car can travel longer distances on one galon!
Step-by-step explanation:
Blue car:
38 1/2=77/2=38.5 miles
1 1/4=5/4=1.25 gasoline
38.5/1.25=30.8miles per galon
Red car:
21 3/5=108/5=21.6 miles
4/5=0.8 gasoline
21.6/0.8=27 miles per galon
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
Upload the worksheet with your constructions below.
Answer:
I attached a pic of my work, its 100% correct.
Its a bit messy....
Matt runs in the park every day at the average rate of c meters per minute.
b:
If Matt runs triple his regular speed for 20 minutes, what distance would he cover?
Answer: 60c
Step-by-step explanation: 3c times 20. This is the right answer I hope it helps <3
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
Leila pumped 6 gallons of water out of her pool each minute for 24 minutes what was the total change in the amount of water in her pool answer in gallons
Answer:
The answer is 144.
Step-by-step explanation:
The question said 6 gallons of water comes out every minute. So, if you multiply 6x24 you get the answer of 144.
❗️Help needed please ❗️
Answer:
prove it by S.S.S axiom bro
Step-by-step explanation:
statement reason
1.in triangle ADB and ADC
a. AB=AC a.given
b.BD=CD b. radii of same circle
c. AD=AD c. common side
2. ∵triangle ADB is congurent to 2. by S.S.S axiom
ADC
Answer:
AD cuts BC at I => I is the midpoint of BC => BI = CI
ΔAIB and ΔAIC have:
AB = AC
BI = CI
m∠ABC = m∠ACB ( because ΔABC is a isosceles triangle)
=> ΔAIB ≅ ΔAIC (sas)
=> m∠BAD = m∠CAD
ΔADB and ΔADC have:
m∠BAD = m∠CAD
AB = AC
AD is the common edge
=> ΔADB ≅ ΔADC (sas)
Step-by-step explanation:
Please help! What is the slope of the line graphed on the coordinate plane?
Answer:
The slope is 3/4
Step-by-step explanation:
You can Y2-Y1/X2-X1 to find the answer to this question
Since the points are (-2,3) and (2,6) it will be..
6-3/2+2 ** the 2 becomes a plus in the denominator because negative and negative is positive
3/4 is the slope
Write the number for one million six hundred thousand .
Answer:
1,600,000
Step-by-step explanation:
Answer:
1001600
Step-by-step explanation:
If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answer:
Step-by-step explanation:
A
Function or not function please help I will give brainless
Answer:
It is a not a Function.
Because one number has two arrows pointing to two different numbers.
Answer:
No
Step-by-step explanation:
(the image is fuzzy so you can't really see the lines)
It seems that when x = 1, f(x) is both 4 and 5.
While two different x values can equal the same y value, one single x value cannot be equal to more than one value.
If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.
Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and y then solve for the measure of each angle
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
