Answer:
3
Step-by-step explanation:
i dont know how to show the work i did it in my head
the straight line L passes through the points (0 , 12) and (10 , 4).
Find an equation of the straight line which is parallel to L and passes through the point (5 , -11).
Answer:
y = - [tex]\frac{4}{5}[/tex] x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)
m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L
Parallel lines have equal slopes , then
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line
The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The straight line L passes through the points (0 , 12) and (10 , 4).
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
Now,
Since, The straight line L passes through the points (0 , 12) and (10 , 4).
So, Equation of line L is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 12 = (4 - 12) / (10 - 0) (x - 0)
⇒ y - 12 = - 8 / 10x
⇒ 10 (y - 12) = - 8x
⇒ 10y - 120 = - 8x
⇒ 10y = - 8x + 120
⇒ y = - 8/10x + 12
⇒ y = - 4/5x + 12
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = -4/5x + 12
m = dy/dx = - 4/5
m = - 4/5
Thus, The equation of line with slope 1- 4/5 is,
⇒ y - (-11) = - 4/5 (x - 5)
⇒ y + 11 = - 4/5 (x - 5)
⇒ 5 (y + 11) = - 4x + 20
⇒ 5y + 55 = - 4x + 20
⇒ 5y = - 4x + 20 - 55
⇒ 5y = - 4x - 35
⇒ y = - 4/5x - 7
Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
Learn more about the equation of line visit:
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Solve the system by substitution.
x=-6y 4x + 10y = 14
Answer:
x = 6
y = -1
Step-by-step explanation:
x = - 6y ----------------------(I)
4x + 10y = 14 ------------------(II)
Substitute x = -6y in equation (II)
4*(-6y) + 10y = 14
-24y + 10y = 14 {Combine like terms}
-14y = 14 {Divide both sides by 1-4}
y = 14/-14
y = -1
Now, substitute y = -1 in equation (I)
x = - 6*(-1)
x = 6
The ratio of boys to girls at a party is 3:2.If there are 60 children at the party, how many girls are there?
Answer:
24girls
Step-by-step explanation:
3+2 =5
5=60children
2=?
24 girls
Using n = 3.14, find the area of a circle with a radius of 7.
Round your answer to the nearest hundredth.
Area of a circle = pi x r^2
Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86 square units.
Doing a quiz please help 30 points for the best answer
Answer:
(X-7)^2+(y +3)^2 = 7
Zoom In to see I need help
Answer:
The answer it probably is C.
Step-by-step explanation:
Just add 16+16+16= 48. Hope this helps
Answer:
The answer is C... 16 units.
Step-by-step explanation:
I had this question on my test and got it correct.
The radius of a circle is 2 miles. What is the circle's
circumference?
r=2 mi
Use 3.14 for a.
Answer:
12.56
Step-by-step explanation:
4 ×3.14 to get 12.56
Evan earns $21.50 per hour for 25 hours and time and a half for overtime. If he worked 5 hours
overtime, what is his total pay?
please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!
Answer:
tan ? = oop/adj
tan ? = 14/26
tan ? = 0.538
arctan tan? = arctan 0.538
? = 28°
For which of the figure(s) below would we calculate VOLUME?
A: Figure A only
B:figure B only
C:figures A and B
D:figures B and C
I've been stuck on this for the past hour. Can someone tell me how to solve it?
Answer:
The answer is 2.5
Step-by-step explanation:
Your welcome! I sometimes get stuck on problems like you too for hours until I get it.
Answer:
Scale factor: 2.5
Step-by-step explanation:
Scale factor is the ratio between corresponding measurements. And a pre image is basically an (original image) while an image is the translated version of the original.
I'm not sure what the best way to explain my answer is, but you can either multiply or divide to find the answer.
4 x 2.5 = 10
8 x 2.5 = 20
10 x 2.5 = 25
5 x 2.5 = 12.5
10/4 = 2.5
20/8 = 2.5
25/10 = 2.5
12.5/5 = 2.5
3x²+6x+8=6 find the discriminant
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
3x^2+6x+8=6
3x^2+6x+8-6=0
3x^2+6x+2=0
here a=3 ,b=6,c=2
Discriment=b^2-4ac
=(6)^2-4(3)(2)
=36-24
=12
What (7 1/3) - (2 2/3) = pls help.
Answer:
4 2/3 is the answer
Step-by-step explanation:
4 2/3 is the answer
Answer:
[tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
I will give you BRAINLEST if you answer !!!!!!
Answer:
45
Step-by-step explanation:
Use Pythagoras theorem to solve
6 x 10^ is how many times as large as 3 x 10^3?
Answer: 1800000000
Step-by-step explanation:
Answer:
200 Times as large
Step-by-step explanation:
When finding the area of a quadrilateral, what operation would I use and why?
Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.
a pizzeria charges eight dollars for a large cheese pizza, plus 2 dollars for each topping. the total cost for a large pizza is given by the equation c equals 2t+8, where t is the number of toppings. what is the slope? what does the slope represent? what is the y-intercept? what does the y-intercept represent? list all 6 ordered for 0-5 toppings.
Step-by-step explanation:
the slope is 2 (the cost for each topping)
the y-int is 8,, it represents the initial $8 for the pizza
and i dnt understand wht the last sentence is asking for
Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant
Answer:
12 Tulips
Step-by-step explanation:
Daffodils - 4, 4, 4, 4 = 16
Tulips - 3,3,3,3 = 12
28 flowers in all
A card is randomly selected from a standard deck of 52 cards.what is the probability that it is a 10 or a face card?
Answer:
In a deck of cards, there are 6 faced cards. So, the probability of drawing a faced card is 6 out of 52 cards. Thus, the probability of drawing a face card from a deck of cards is 6/52 = 3/26.
Step-by-step explanation:
Answer:
4/13
Step-by-step explanation:
There are 4 10 cards.
There are 12 face cards.
Probability of both:
4/52 + 12/52 = 16/52 = 4/13
Translate this phrase into an algebraic expression 66 decreased by twice Carlos's savings Use the variable c to represent Carlos's savings.
I WILL GIVE BRAINLIEST!!!
Answer:
45min
Step-by-step explanation:
just mutiply
Answer:
83min
Step-by-step explanation:
can i have it im trying to get a new role
You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?
Answer:
$135
Step-by-step explanation:
Step 1
Conversion
Base = 2 yards
1 yard = 3 feet
2 yards = x
Cross Multiply
x = 2 × 3 feet = 6 feet
Height = 5 yards
1 yard = 3 feet
5 yards = x
Cross Multiply
x = 5 × 3 feet = 15 feet
Step 2
Find the area of the triangle
Area of a triangle = 1/2 × base × height
Base = 6 feet
Height = 15 feet
Area = 1/2 × 6 × 15
= 45 square feet
Step 3
Find the cost of the carpet
1 Square foot = $3
45 square feet = x
Cross Multiply
x = 45 × $3
x = $135
Therefore, the amount you will pay to cover a triangular section of the floor is $135
12x + 70 ≥ 10x + 80?
Answer:
x is greater than or equal to 5
Step-by-step explanation:
Hope this helps! :))
Have a nice day<3
HIII could some one please help me !!
Answer:
always
Step-by-step explanation:
so if it isn't it will be an acute or an obtuse
A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?
Answer:
138 laps in 23 minutes
Step-by-step explanation:
30/5
x/23
5x=690
690/5=138
A baker has a 20-kg bag of raisins. One-eighth of the bag is used in each batch of cookies. How much is used for 5 batches?
Answer:
12 1/2 kg
Step-by-step explanat
The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop
Answer:
The cost is $75
Step-by-step explanation:
Given
[tex]y = 25x[/tex]
Required
Cost of 3 cubic yards -- Missing from the question
The required means that: [tex]x = 3[/tex]
Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]
[tex]y = 25 * 3[/tex]
[tex]y = 75[/tex]
The cost is $75
HURRY PLEASE I NEED THIS NOW
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
25-7=18
18÷25=0.72×100=72
find the slope when given the following points (1 6) and (3 -4)
Answer:
Slope= (-4-6)/(3-1)
=-10/2
=-5
Cuando al menos una de cuatro banderas de colores rojo, verde, negro y azul es acomodadas verticalmente con un asta de bandera, el resultado indica una señal (o mensaje). Arreglos diferentes proporcionan señales diferentes a) ¿cuantas señales diferentes son posibles si las cuatro banderas son utilizadas? b) ¿cuantas señales diferentes son posibles si almenos una bandera es utilizada
Answer:
respuesta b
¿cuantas señales diferentes son posibles si almenos una bandera es utilizada?
4P4+4P3+4P2+4P1=64