Answer:
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
Step-by-step explanation:
Perpendicular lines slopes are negative reciprocals of each other.
y = 7x - 5 This equation slope = 7 because the slope is the coefficient of the x-term.
The line that is perpendicular will have a slope of -1/7 ( the negative reciprocal of 7)
Next to find the value of "b" using y = mx + b and slope of -1/7 and point (-8, -6).
y = mx + b
-6 = -1/7(-8) + b
-6 = 8/7 + b
-6 - 8/7 = b
-50/7 = b
Equation is y = -1/7x - 50/7 or y = -1/7x - 7 1/7
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}~\hspace{10em} y = \stackrel{\stackrel{m}{\downarrow }}{7}x - 5\\\\[-0.35em]~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}{\stackrel{slope}{7\to \cfrac{7}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{7}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{7}}}[/tex]
so we know that it has a slope of -1/7 and passed through (-8,-6)
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6}) ~\hspace{10em} \stackrel{slope}{m}\implies - \cfrac{1}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{-\cfrac{1}{7}}[x-\stackrel{x_1}{(-8)}] \implies y+6=-\cfrac{1}{7}(x+8) \\\\\\ y+6=-\cfrac{1}{7}x-\cfrac{8}{7}\implies y=-\cfrac{1}{7}x-\cfrac{8}{7}-6\implies ~\hfill y=-\cfrac{1}{7}x-\cfrac{50}{7}[/tex]
If there are 12 girls and 23 boys,
write as a ratio for girls to boys in 3
ways below.
to
Answer:
12:23
12 to 23
12/23
Step-by-step explanation:
8.6w+2.2(2w-5)=54
help plz
8th grade math
3. [1,5 punts] Si en un partit el Camp Nou s'ha omplert parts de la seva capacitat, quants espectadors han anat? I si s'ha posat a ploure abans del final del partit i han marxat tres quartes parts dels espectadors que hi havia, quants en queden? Quina part de la capacitat ha quedat? (Capacitat del Camp Nou: 99375 espectadors.)
Answer:
ewwe
Step-by-step explanation:
your friend ran 6 more miles than anna
Answer:
thanks for the points
Step-by-step explanation:
What is the distance between the bank and Hiroto’s house on the map?
Enter the distance to the nearest quarter mile. (Each unit represents 1 mile.)
Which of the following describes how to write the decimal number six hundred twenty-seven thousandths?
Answer:
0.627
Step-by-step explanation:
I will turn the word form of the number into decimal form backwards to make it easier:
7 is in the thousandths place
2 is in the hundredths place
6 in the tenths place
0 being in the ones place
That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D
Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.
The point of concurrency of the three median is the centroid of the triangle ABC.
The sum of the lengths of AK and BK is 10.06Reasons:
The given parameters are;
The medians of the triangle ABC = Segments BF, CD, and AE
The length of segment FK = 3.40
Length of segment EK = 1.63
Required:
The sum of the lengths of segment AK and BK
Solution:
The ratios of the lengths of AK to KE = 2:1
Therefore, we have;
[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]
1.63 × 2 = 1 × AK
AK = 3.26
Similarly, we have;
[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]
3.40 × 2 = BK
6.80 = BK
Which gives;
AK + BK = 3.26 + 6.80 = 10.06
The sum of the lengths of AK and BK = 10.06
Learn more here:
https://brainly.com/question/7856454
A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?
A water sprinkler has a rotational motion in order to reach a broad area
from its stationary location.
The time it takes the sprinkler to reach the far right position is 36 seconds.
Reasons:
The given parameter are;
The angular speed of the water sprinkler, ω = 5° per second
Location where the sprinkler starts = The far left position
Required:
The time it takes the sprinkler to reach the far right position.
Solution;
The angle covered by moving from the far left to the far right, θ = 180°
Time required is given as follows;
[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]
Therefore;
[tex]t = \dfrac{\theta}{\omega}[/tex]
Which gives;
[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]
The time it takes the sprinkler to reach the far right position, t = 36 seconds.
Learn more here:
https://brainly.com/question/14753185
What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?
Answer:
We can apply the formula for surface area of a rectangular prism here. i.e.
Step-by-step explanation:
A=2(l×w + h×l + h×w), where l is length, h is height and w is width.
As mentioned above, length = 12 cm, width = 8 cm and height = 6 cm.
Therefore
2(12×7+6×12+6×8)=2(84+72+48)=2(204)=408. So the surface area of the brick is 408 square centimetres.
The area of Triangle abc is 3cm 4cm 3cm
Answer:
Step-by-step explanation:
ASSUMING the given dimensions are the lengths of the legs
we have an equilateral triangle with base 4 and height
h = √(3² - (4/2)²) = √5
A = ½bh = ½(4)(√5) = 2√5 cm²
A cheetah can run at its top speed for about 25 seconds. If
the cheetah can run 125 meters in 5 seconds, how far can it
run in 25 seconds? How long will it take it to run 250 meters?
How many meters does it run per second?
No bots plsss
Answer:
625 meters in 25 seconds
250 meters in 10 seconds
Step-by-step explanation:
125 x 5 = 625
125 x 2 = 250
1.25 is closer to 1.04 or not ?
plz heelp
Is 2.34 a rational number?
Answer:
Yes.
Step-by-step explanation:
2.34 is a terminating decimal, meaning that it ends. Therefore, it is rational.
What is x in x^2-x-6=0 pls
Answer:
x = 2 or -3Step-by-step explanation:
What is x in x^2-x-6=0 pls
x^2 - x - 6 = 0
x + 2 * x - 3 = 0
x + 2 = 0
x - 3 = 0
x = 2 or -3
Answer:
x= -2 or x= 3
Explanation:
the factors of -6 which sum to -1 are -3 and + 2
(x - 3) (x + 2) = 0
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = −2
x − 3 = 0 ⇒ x = 3
Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?
Answer:
0.0423333333 meters
Step-by-step explanation:
When you convert, you will receive the same result.
#14 A scale drawing of a rectangular room measures 2 cm by 4 and 1/4 cm. E
The scale used for the scale drawing is 1/2 cm = 5 ft. Carpeting will cost
$8.50 a square foot. How much will it cost to buy enough carpet to cover
the floor of this rectangular room? (**numbers and decimal only in answer
** NO $$ NO comma**) *
Answer:
Step-by-step explanation:
Width
1/2 cm = 5 feet
2cm = x Cross Multiply
1/2 x = 2 * 5 Combine
1/2 x = 10 Multiply both sides by 2
x = 20
Length
1/2 cm = 5 feet
4 1/4 cm = x Cross Multiply
1/2 x = 4 1/4 * 5 Combine the right
1/2 x = 21.25 Multiply both sides by 2
x = 42.5
Room Area
Area = 20 * 42.5
Area = 850 square feet
Cost
1 square foot costs 8.5 dollars.
850 square feet costs 8.5 * 850
850 square feet costs 7225 dollars.
plz help me i will mark brainest
what is s
Answer:
12?
Step-by-step explanation:
6/8 = 9/?
8 x 9=72
72/6= 12
Answer:
6 / 8 on the small triangle and 9 on the big one
Step-by-step explanation:
пожалуйста, помогите с векторами!
Answer:
hi there is that something you can block
Need helppppppppppppppp
Answer: Try square root for the first one.
Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?
no link or bot answer the question
Answer:
480in
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
6 * 8 = 48
48 / 2 = 24
because it's half a square
How do you figure out division expression with answer of 19.1
Answer:
its 5823
Step-by-step explanation:
help urself
what is another word for Angle 1?
The angle would be the 3 points surrounding it with the point that the two lines connect to being in the middle:
Angle 1 is GEF
HELP PLS.... ITS QUICK AND EASY... DUE IN A COUPLE MINS. PLS HELP
Answer:
see below
Step-by-step explanation:
a) no of hours in a day = 24
no of min in a day = 24 * 60
so min > hours
b) from 0 to 20 all are integers
but few are prime numbers
so integers > primes
c)from -50 to 50
rational numbers are infinite but integers are limited to 101 numbers
so rational > integers
d)1m = 100cm
so always cm > m
Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False
Answer:
True
Step-by-step explanation:
Brought - the amount used
42 feet - 39 feet 5 inches.
42 feet 0 inches = 41 feet 12 inches
- 39 feet 5 inches = - 39 feet 5 inches
2 feet 7 inches
Rico is finding 7.5 × 100
Find and correct his mistake
Answer:
Rico moved his decimal to the left instead of to the right. So the answer should be 750
Step-by-step explanation:
When you multiply, your moving the decimal to the right so the number gets bigger.
Hope this helps~! :3
Answer:
750
Step-by-step explanation:
As you move the decimal over to the right 2 places.
1. Evaluate |-x - 2y| for x = -2 and y = 3
Answer:
4
Step-by-step explanation:
x = - 2
y = 3
l - x - 2y l
= l - ( - 2 ) - 2 ( 3 ) l
= l 2 - 6 l
= l - 4 l
= 4
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
1
4
6
12
we have a = 4, b = 3 , and c = 10
So 3a4b−c = 3 x 4 x 4 x 3 - 10 = 134
ok done. Thank to me :>
7x+14y−3y+12x+32y+54x+2x+8y
Answer:
it would be 75 + 51
hope this helps
136
Step-by-step explanation:
The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.
Answer:
Angle sum property
Step-by-step explanation:
This is because one exterior angle is equal to the sum of the other two interior angles.
This is the credit report for how many people?
1
2
3
4
2. How long of a mortgage did Lillie take out?
a. 40 months
b. 5 years
c. 30 years
d. 360 years
4. What accounts does Lillie T. Lane have open at this time?
a. One mortgage
b. One mortgage and one credit card
c. One mortgage and two credit cards
d. One mortgage, two credit cards, and one bank account
5. What is the credit limit on Lillie’s First USA Bank credit card?
a. $1,684
b. $2,695
c. $5,500
d. $8,850
6. What was the highest balance Lillie had on her credit card?
a. $1,684
b. $2,695
c. $5,500
d. $8,850
7. Which statement is true about Lillie’s past due account(s)?
a. She’s 30 days overdue, by $50, on 1 account
b. She’s 30 days overdue, by $50, on 1 account AND she’s 60 days overdue, by $50, on a second account
c. She’s 60 days overdue, by $50, on 1 account
d. She’s 90 days overdue, by $50, on 1 account
8. How many months did Lillie make on-time payments for her line of credit at Astoria Federal Savings?
a. 29
b. 39
c. 40
d. You cannot tell from this credit
Answer:
1. 1 person
2. 30 years
3. one mortgage and one credit card
4. $8,850
5. $2,695
6. She’s 60 days overdue, by $50, on 1 account
7. 29 months
Step-by-step explanation:
Answer: yeah hes right the other guy that answered this
Step-by-step explanation:
