Answer:
[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]
Step-by-step explanation:
We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:
[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]
At this point we can just use the slope-point equation to get our first line:
[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]
Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.
[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]
[tex]y= \frac67x -\frac{78}7[/tex]
3. Each beam of sunlight (a, b, or c above) delivers 1300 joules of energy per second (i.e. 1300 watts) overains
of the upper atmosphere, perpendicular to the direction of the beam (ie. the beam hits a flat surface. Sveta
sunlight spreads out when it hits the Earth, use your answers from 2 above to calculate the amount of enerosta
(c)
actually delivered per 100 m of surface in each of sunlight beams a, b, and c.
Answer:
i believe the answer is 13 ?
Step-by-step explanation:
1300 divided by 100 is 13 im not sure if this is right tho sry if im wrong.
What is the correct equation to solve for X?
The local softball field has a lemonade stand. The graph shows the amount that of money in the cash register of the lemonade stand
1. What is the y-intercept?
2.What dose the y-coordinate of the y-intercept of the function represent
3. What is the slope
4What dose the slope of the function represent
Answer:
Cant tell you without data
Step-by-step explanation:
0.69 x 10 to the 3rd power
Answer:
690
Step-by-step explanation:
0.69 x 10^3=
0.69 x 1000=
690
Answer:
Step-by-step explanation:
0.69*1000= 690
9. The
school is planning on taking 684 students on the field trip. If the bus can only hold 43
students, how many buses will they need?
Answer:
16
Step-by-step explanation:
Answer:
16 buses
Step-by-step explanation:
684/43 = 15.9
what is f (x) = (3x^4 +1) ^2
Answer:
Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2
Step-by-step explanation:
Determine the value of x.
Answer:
x = 16
Step-by-step explanation:
46° and (3x - 2)° are alternate angles and are congruent , so
3x - 2 = 46 ( add 2 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
need help
on this problem
Answer:
4.6
Step-by-step explanation:
23/5=4.6
is 5,7,9 a pythagorem theorem? pls help me due rn
Answer:
No
Step-by-step explanation:
a^2+b^2=c^2
5^2= 25
7^2 = 49
25+49=74
square root of 74 does not equal 9
Answer:
No.
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
5²+7²=9²
5²=25, 7²=49, 9²=81
25+49 does not equal 81.
solve pls brainliest
Answer:
1) No it repeating
2)No it doesn't terminate nor repeat
3) yes this terminates
4) no its repeating
Step-by-step explanation:
which problem solving strategy would be best to solve this problem?
To study for the spelling competition, Jose memorized 2 words from the list. The next day, Jose memorized 4 words from the list. The third day, Jose memorized 8 words from the list. If Jose continues, how many words will he memorize on the tenth day
A.look for a pattern
B.work backwards
C.write an equation
D.guess, check and revise
Answer:
The best solving strategy is D. Finding a pattern would be decent, but D clearly is an better answer,
Step-by-step explanation:
among 240 students it was fount three - fourth of the students preferred to play hockey and one-eighth of the students preferred to play cricket the number of students whole prefer to play hockey and cricket respectively are.
a) 180 and 30 b) 40 and 180
c) 180 and 40. d) none of these
Malika went shopping for a new pair of pants. Sales tax where she lives is 4%. What number should she multiply the price of the pair of pants by to find the total plus tax in one step?
Answer:
[tex]\frac{104}{100}[/tex]
Step-by-step explanation:
You would multiply 104/100 to the price because it would be 100%, (basically the price), plus the 4/100, the tax.
how do u add and subtract rational numbers
Answer:
ration number such as 2 and 3
2 plus 3 is 5
3 minus 2 is 1
3 by 5 plus 2 by 5 is 5 by 5 which is 1
3 by 5 plus 2 by 4 take lcm and add the numerator .
2 different ways to construct congruent angles
Answer
1.make them same length
2. do not forget to include lines
Step-by-step explanation:
help me with math lol!!!
Answer:
x=7
Step-by-step explanation:
3*7=21
21-9=12
What is the answer for this this question if you don’t your gay
1) 6 hats cost $67.50
What's the cost per hat?
The answer is $11.25 Just divide $67.50 by 6
a transversal shown below.
True
or
False
Answer:
true
Step-by-step explanation:
because i just finished doing this in geometry
Julie has a square-shaped driveway with an area of 256 square feet. What are the dimensions of the driveway?
A. 64ft x 4ft
B . 15ft x 15ft
C. 16ft x 16ft
D. 32ft x 8ft
Answer:
16ft x 16ft
Step-by-step explanation:
Square shaped, so side lengths are all the same size, so 16ft by 16ft. 256 would also need to end in a 5 to be a product of 15 by 15 but would end in six for 16x16 (5*5 and 6*6 will show last digit of the number)
Write an equation in slope-intercept form for the line parallel to y = 5x – 2
that passes through the point (6,-2).
Type your equation in the form y=mx+b. Do not use any spaces in your response.
Answer:
y = 5x - 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Parallel lines have equal slopes, then
y = 5x + b ← is the partial equation
To find b substitute (6, - 2 ) into the partial equation
- 2 = 30 + b ⇒ b = - 2 - 30 = - 32
y = 5x - 32 ← equation of parallel line
Stacy shares 164 peppers equally between 5 of her friends. How many peppers does each friend get? How many are left over?
Answer:
each person gets 32 papers and there are 4 left over
Step-by-step explanation:
Who knows what is 2 x 5 ?
If x = 5y - 1 and 3x + 5y = -43, what is the value of y?
Answer:
y is the value of 1
Step-by-step explanation:
no need for one
Answer:
y = - 2
Step-by-step explanation:
Substitute x = 5y - 1 into the other equation
3(5y - 1) + 5y = - 43 ← distribute parenthesis and simplify left side
15y - 3 + 5y = - 43
20y - 3 = - 43 ( add 3 to both sides )
20y = - 40 ( divide both sides by 20 )
y = - 2
solve pls brainliest
Answer:
Step-by-step explanation:
Simple interest is the agreed upon amount that was first deposited. Even if the depositor leaves his interest in the account, the amount paid is on the account is on the 5000 dollars, not the 5100 it will be at the end of the second year.
i = p * r * t
p = 5000 dollars
r = 2% each year
i = 2/ 100 = 0.02
i = 5000 * 2/100 * 2
i = 200 dollars after 2 years.
31X +3-65X -33-75-10 X
Answer:
-44x - 105
Step-by-step explanation:
1) Add the numbers
3 1 − 1 0 5 − 6 5 − 1 0
2) Combine like terms
-44x - 105
Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
I need to know which matches which thank you
Answer:
number 1 matches 8/12, number 2 matches 11/12, number 3 matches 12/24, number 4 matches 11/24, number 5 matches 10/12
Step-by-step explanation:
find the minimum common multiple and then add the top numbers and keep the denominator (bottom number) the same.
Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?
Please answer!!!!
The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.
The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.
The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.
The area of the circular pond is given as 3x²-4x+5 square yards.
So, the area of the gray region is:
(20x-12) - (3x²-4x+5)
= 20x-12 - 3x²+4x-5
= 3x²+10x-17
Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.
To know more about an area follow
https://brainly.com/question/30986942
#SPJ1
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
D) -[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
if 2 lines are perpendicular, one line has the opposite reciprocal of the other line.
Answer:
D,_3/2
Step-by-step explanation:
when two lines are perpendicular, m¹=_1/m²