Answers
The value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to y = 2x - 5 is 6.
What is a parallel line?No matter how far we extend a parallel line, it will always remain straight. Take a look at the parallel lines in the following illustration. Lines "p" and "q" are parallel to each other as are lines "a" and "b."
We know that parallel lines have same slope, so the slope of y = 2x - 5 is 2 according the y intercept form, y = mx + b
Now using the point-slope form we will find the line parallel to Point B (6, 8)
y − y₁ = m(x − x₁)
Put m as 2, y₁ as 8 and x₁ as 6, and we wil get
y − 8 = 2(x −6)
y = 2x − 4 or
2 = (y + 4)/x (slope)
We will us point-slope form for point A(n, 4) too
y − 4 = 2(x −n)
y = 2x − 2n + 8 or
2 = (y - 8 + 2n)/x
As slope 2 is same in both points it means their equations are same too
(y + 4)/x = (y - 8 + 2n)/x
Lest solve for n
(y + 4)/x = (y - 8 + 2n)/x
y + 4 = y - 8 + 2n
4 = - 8 + 2n
4 + 8 = 2n
2n = 12
n = 12/2
n = 6
Thus, the value of n for a line that passes through point A(n, 4) and point B(6, 8) and is parallel to y = 2x - 5 is 6.
Learn more about parallel line
https://brainly.com/question/12065995
#SPJ13
Related Questions
help me answer this pls
Answers
-1/2 is the slope of the line that passes through the points (12,-1) and (-2,6).
Slope is simply expressed as change in y over the change in x.
The slope formula is expressed as;
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Given the data in the question;
Point 1( 12, -1 )
x₁ = 12y₁ = -1Point 2( -2, 6 )
x₂ = -2y₂ = 6To determine the slope of the line, plug the given coordinates into the slope formula above.
Slope m = ( y₂ - y₁ )/( x₂ - x₁ )
Slope m = ( 6 - (-1) )/( -2 - 12 )
Slope m = ( 6 + 1) )/( -2 - 12 )
Slope m = ( 7 ) )/( -14)
Slope m = -7/14
Slope m = -1/2
Therefore, the slope of the line is -1/2.
Option F is the correct answer.
Learn more about slope formula here: brainly.com/question/24578307
#SPJ1
9. Construct Arguments Al made a tree house last summer. He started by
making a model. The model included a window with a height of inch
and a width of inch. The actual window had a height of yard and a
width of yard. Was Al's model an accurate representation? Explain.
Answers
Answer:
yes
Step-by-step explanation:
if the model was x inches × y inches it is going to be the exact same number as the actual window just in years for instance if the windows is 9 Sq yards it would be 3 yard × 3yard and the model would have been 3 inches ×3
Type SSS, SAS, ASA, AAS, or HL to justify why triangle ABC is congruent to triangle AED.
BC = ED
Answers
The congruency of triangle ABC and triangle AED is based on SAS ( Side Angle Side )
What are congruent triangles?The term congruent triangles refer to triangles that are equal in size of sides as well as size of the angles corresponding to each side or angle.
The congruent triangle theorem are of some basic theorems which include
SSS: Side Side SideSAS: Side Angle SideAAS: Angle Angle Side HL: Hypotenuse Leg ( for right angle triangles only )As regards the question the theorem used is the Side Angle Side - SAS. This has it that the two sides and the included angle are equal.
Read more on congruent triangles here; https://brainly.com/question/3999145
#SPJ1
Answer: AAS
Hope this helps!
18. How else can the ratio 4/5 be written?
A..2
OB. 4:5
C.5/4
D. 5:4
Mark for review (Will be highlighted on the revie
Answers
1 - 6m + 2 = -3m - m - 1
Answers
3 = 2m - 1
2m = 4
m = 2
whats is 23x10 to the third power need help now
Answers
The expression 23 x 10 to the third power has a value of 23000
How to evaluate the expression?The mathematical statement is given as
"What's is 23x10 to the third power"
This can be represented as
23 x 10 to the third power
The third power represents the power of 3
i.e A number to the exponent of 3
So, we have
23 x 10 to the third power = 23 x 10^3
Express 10^3 as 1000
23 x 10 to the third power = 23 x 1000
Evaluate the product
23 x 10 to the third power = 23000
Hence, the solution is 23000
Read more about expressions at
https://brainly.com/question/723406
#SPJ1
a country's population and the growth rate in 2011 are given below. assume the growth rate remains the same from year to year. Use this information and an exponential model to estimate the country's population in the specified yearpopulation = 105 milliongrowth rate = -0.657%year, 2024the size of the population in 2024 will be about ____ million (round to the nearest hundredth as needed)
Answers
A general exponential model can be described by:
[tex]P(x)=A\cdot b^x[/tex]Where A is the initial condition, and b is the growth factor. From the problem, P is the population (in millions); if x is the number of years passed since 2011, then x = 0 in 2011:
[tex]105=A\cdot b^0\Rightarrow A=105[/tex]We know that the growth rate is -0.657% = -0.00657. The growth rate r and the growth factor b are related by:
[tex]b=1+r\Rightarrow b=1+0.00657=0.99343[/tex]Our model is now complete:
[tex]P(x)=105\cdot0.99343^x[/tex]For the year 2024, x = 13 years have passed. Then, we calculate the population using our model (rounding to the nearest hundredth):
[tex]P(x=13)=105\cdot0.99343^{13}=96.38[/tex]The size of the population in 2024 will be about 96.38 million
Solve the right triangle shown in the figure. C. BC= 3.2m, B = 43.29, ZC = 90° a. ZA = 46.80, AC = 1.9m, AB = 3.7m b. ZA = 46.89, AC = 5.3m, AB = 4.4m - LA = 46.8°, AC = 5.3m, AB = 6.2m ZA = 46.8°, AC = 3.0m, AB = 4.4m d. -
Answers
The given triangle can be shown below
Since the sum of angles in a triangle is 180 degrees it follows
[tex]\angle A+\angle B+\angle C=180^{\degree}[/tex]It follows
[tex]\begin{gathered} \angle A+43.2+90=180^{\degree} \\ \angle A=180-90-43.2 \\ \angle A=46.8^{\degree} \end{gathered}[/tex]From the triangle above
Using trigonometrical ratios
It follows
[tex]\tan 43.2=\frac{b}{3.2}[/tex]This gives
[tex]\begin{gathered} b=3.2\times\tan 43.2 \\ b=3.2\times0.9391 \\ b=3.0 \end{gathered}[/tex]Hence,
[tex]b=3.0m[/tex]Also
[tex]\cos 43.2=\frac{3.2}{c}[/tex]It follows
[tex]\begin{gathered} c\times\cos 43.2=3.2 \\ c=\frac{3.2}{\cos 43.2} \\ c=\frac{3.2}{0.7290} \\ c=4.4 \end{gathered}[/tex]Hence,
[tex]c=4.4m[/tex]Therefore, the solutions are
[tex]\angle A=46.8,\bar{AC}=3.0m,\bar{AB}=4.0m[/tex]Answer: D
answer in picture too
Step-by-step explanation:
edge 2023
easy (can anyone help with write an equation for this)
Answers
The equation of slope-intercept form is y = mx - m.
What is slope-intercept form?
A line's equation can be written in the slope-intercept form such that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are instantly visible. This form is commonly referred to as the y = mx + b form.from the graph points are ( 1 , 1 )
So, x = 1 & y = 1
Equation is y = mx + c
put the value (x, y)
1 = m * 1 + c
1 = m + c
c = - m
y = mx - m
the equation is y = mx - m
Learn more about slope-intercept form
brainly.com/question/9682526
#SPJ13
first 6 terms of -2
first 6 terms of 4
Answers
A geometric sequence's first 6 terms add up to 9 times the sequence's first 3 terms. Identify the typical ratio. A (rn-1) / r - 1 is the formula for the sum of n terms in a geometric series, where a, r, and n are the series's initial term, ratio, and number of terms, respectively.
In the sequence -2, 4 what is the total of the first six terms?1.a1 = 10 d =-1
an = 10 n + (-2) (-2)
a1 = 10(1) + (-2) = 10 - 2 = 8, a2 = 10(2) + (-2) = 20 - 2 = 18, a3 = 10(3) + (-2) = 30 - 2 = 28, a4 = 10(4) + (-2) = 40 - 2 = 38, a5 = 10(5) + (-2) = 50 - 2 = 48,a16 = 10(6) + (-2) = 60 - 2 = 58.2. a1 =8 d =4
a1 = - 8 (1) + 4 = -8 +4 = -4 a2 = - 8 (2) + 4 = -16 +4=-12 a3 =-8 (3) + 4 = - 24 + 4 = -20a4 = -8 (4) (4) + 4 = -32 + 4= -28 a5= -8 (5) + 4 = -40 + 4 = -36a6=-8 (6) + 4 =- 48 +4 =-44To Learn more About first 6 terms, Refer:
https://brainly.com/question/4365057
#SPJ9
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2?
03x²-x-10
O 3x² - 10
O3x²+x-10
O 3x² - 11x10
Answers
Area =1xw
Area = (3x+5)(x-2)
Area = 3x2 - 6x + 5x- 10
Area = 3x2-x-10
Therefore, the correct answer is option D.
Which figure is the image of Figure 1 after a reflection over the y-axis and a translation 3 units down?
Answers
When we perform a reflection over the y-axis then the y-coordinates remain the same but the x-coordinates are inverted (opposite sign).
Example:
As you can see in the above figure, a reflection over the y-axis would look like this.
When we perform a translation of 3 units down then the shape gets shifted downwards by 3 units.
Example:
Therefore, we can see that figure B is the correct answer.
Rounding to the nearest whole
number, which of the following give an
underestimate?
2.7 x 13.5
4.51 x 8.7
9.19 x 8.48
7.49 x 11.4
3.6 × 6.5
Answers
Answer:
I attached answer list respectively
For good service, a garbage collector regularly receives PHP80.00 each from 9 households in our neighborhood once a week. How much does the garbage collector earns for good service in 6 months?
pls helppppppp dead line in 30 mins
Answers
The garbage collector earns PHP 18,720 for good service in 26 weeks or 6 months.
What do you mean garbage?
Waste materials that are thrown by people under various names—garbage, trash, junk, or refuse—usually reflect a perception of their lack of utility. Typically, the word excludes poisonous wastes, body wastes, and wastes that are only liquid or gaseous. Garbage is frequently categorized and categoriszed into types of materials appropriate for particular types of disposal.
Lets assume an ideal situation in 6 months, 3 months will have 31 days and 3 months will have 30 days.
So, total days in 6 months = 3(30) + 3(31)
total days in 6 months = 183
A week contains 7 days:
So, total number of weeks = days in 6 months/7
total number of weeks = 183/7
total number of weeks = 26.14
So, the garbage collector gives service of 26 weeks in 6 months.
Since, he receives 80 each from 9 households in a week.
so, total earning in a week = 80(9) = 720
Total earning in 6 months = weeks in 6 months (earning of 1 week)
Total earning in 6 months = 26 (720)
Total earning in 6 months = 18,720
To know more about garbage, go to link
https://brainly.com/question/25058250
#SPJ9
Triangle MNO is shown
witch triangle can be shown to be congruent to triangle MNO with only the given information?
Answers
Answer: The 2nd one from the top
or a science experiment, Tibs dropped two different balls from various heights and recorded the height of the first
unce. The graph shows the data for ball A (the solid line) and ball B (the dashed line). What was the height of the f
punce of ball A when the initial height of the ball was 5 feet? What was the initial height of ball B that resulted in a be
eight of 2 feet?
Click the icon to view the graph.
e height of the first bounce of ball A was
pe an integer or a decimal.)
feet when the initial height of the ball was 5 feet.
r your answer in the answer box and then click Check Answer.
art savas realize
Answers
The gravity is working. Energy-based items are affected by gravity. The vertical motion model, h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball.
Why is initial height important?The distance traveled in flight increases with release level. This is because the projectile will stay in the air longer if it is launched higher. The projectile will be under the influence of the horizontal component longer.
The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.
Greater maximum height is associated with greater launch angles.
Greater relative projection height results in longer flight time, which increases horizontal displacement when projection speed is constant.
To know more about Initial Height refer:
https://brainly.com/question/28717339
#SPJ9
Find the measure of AB.
Thank you
Answers
Answer:
15
Step-by-step explanation:
5x=4x+3
x=3
AB=5x
AB=5(3)
AB=15
a recipe calls for 2 teaspoons of cherry aid for every cup of water how many tablespoons of cherry aide must be used to make 4 quarts if drinks
Answers
So 4x4=16 cups
And for every cup you add 2 teaspoons so that would be 16x2 making you answer 32
Answer:
Step-by-step explanation:answer is 35
i need help bro who knows how to do
this ?
Answers
Answer:
Equation A has the larger y intercept.
Equation A has a y-intercept of 2
Equation B has a y intercept of -5
Step-by-step explanation:
Equation A is in the slope intercept form of a line.
y = mx + b. The number in the b place is the y-intercept.
y = 5x + 2. The 2 is in the intercept place so the y-intercept is 2.
Equation B is written in the standard form of a line.
5x + 4y = -20
If I let x = 0, I can solve for the y intercept.
5(0) + 4y = -20
4y = -20 Divide both sides by 4
y = -5
This would be point (0,-5). The y-intercept is always boing to be when x = 0.
Isaac is getting balloons for his aunt's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Isaac wants to get 77 balloons, how many yards of string will he need?
Answers
Answer: 231
Step-by-step explanation: 1 yd = 3 ft so 9 ft=3 yd 77*3=231
In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
Answers
To find:
The method of drwaing the graph of given inequality.
Solution:
Given inequality: -3m +18 < 30.
Solve the inequality:
[tex]\begin{gathered} -3m+18<30 \\ -3m<30-18 \\ -3m<12 \\ 3m>-12 \\ m>\frac{-12}{3} \\ m>-4 \end{gathered}[/tex]To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.
Please hurry!!
What is the slope of the line that contains the points negative 3, negative seven halves and (2, −4)?
one fourth
one tenth
negative one tenth
negative one fourth
Answers
Answer:
0.7
Step-by-step explanation:
This question tests on the concept of slope or gradient of a line.
We know that the equation, m, for a slope =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
We can identify 2 points from the question as (x1, y1) and (x2, y2) to solve for the gradient, and therefore they are:
(x1,y1) as (-3,-7.5)
(x2,y2) as (2,-4)
Now we can substitute these values in to solve for the slope.
[tex] \frac{ - 4 - ( - \frac{7}{2})}{2-(-3)} \\ = \frac{ - 4 + frac{7}{2}}{5} \\ = \frac{-0.5}{5} \\ = - \frac{1}{ 10} \\ = -0.1[/tex]
TRUE OR FALSE. Does the equation match the graph?
Answers
Answer: false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
To start, the intersection is wrong, also the slope is -6 not 6/5
The equation is y=-6x+1
-6x>18 use a table to solve the inequality
Answers
Answer:36
Step-by-step explanation:multiply divide and subctract
Plsss help me ASAP
Fill in the blanks plssss
Answers
∠1 + ∠3 = ∠2 + ∠3 because both of them are equal to 180 °.
∠3 = ∠3 because it is the common angle .
∠1 = ∠2 because they are vertically opposite angles .
What are the different conditions when 2 line intersects?At most, 2 distinct lines will intersect at one point. The general form of the two equations is required in order to locate the intersection of two lines. Only non-parallel lines will cross with each other. A pair of scissors, a folding chair, a road cross, a signboard, and other everyday objects are typical examples of intersecting lines. We will learn in-depth instructions on how to locate the spot where two lines intersect in this mini-lesson. They are referred to as intersecting lines when two lines have exactly one point in common. A common point connects the intersecting lines. The point of intersection is also known as the common point that all intersecting lines share. There will be a point of intersection between the two coplanar, non-parallel straight lines.
To know more about intersection of lines ,visit:
https://brainly.com/question/11297403
#SPJ13
what statement is true about f(x)= -6|x+5|-2
Answers
Answer:
Its parent function is y = |x|f(x) is |x|- reflected across the x-axis
- vertically scaled by a factor of 6
- translated 5 units to the left
- translated 2 units down
The smith twins, joe and john, have a car collection. the number of cars is represented by x. the number of cars in joe's collection is 2 times the number in john's collection. the total number in both is 78. what is x, the number in john's collection?
Answers
Answer: 39
Step-by-step explanation: what is x, the number in john's collection
so basically 2*39 is 78 the number in john's collection is 39 because you are trying to find the nubers of cars
Jonathan needs to buy some food for his dog. At the nearest store, 7 bags of dog food cost $21.49. How much would Jonathan spend on 5 bags?
$13.21
$16.49
$15.35
$12.35
Answers
Answer:15.35
Step-by-step explanation:
knowing 7 bags is 21.49 we can divided 21.49 dollars by the amount of bags we have to get how much money is one bag which is 3.07 so after that we multiply by 5 for 5 bags and get our answer 15.35
What is 9.6 x 3.7 I know it’s 35.52 but I need to learn step by step
Answers
Step 2 : Therefore, 9.6 x 3.7
vertex (-5,3) and passes through (-4,2)
Answers
The equation of the parabola that has a vertex at (-5,3) and passes through (-4,2) is y = [tex]-x^2-10x-22[/tex]
The vertex of the parabola = (-5,3)
Passing through the point = (-4,2)
The equation of the parabola in the vertex form y = [tex]a(x-h)^2+k[/tex]
(h,k) is the vertex of the parabola
h = -5
k = 3
Substitute the values in the equation
y = [tex]a(x+5)^2+3[/tex]
Here the parabola is passing through the point (-4,2)
Substitute this value in the equation and find the value of a
2 = [tex]a(-4+5)^2+3[/tex]
2 = a×1+3
2 = a+3
a = 2-3
a = -1
Then
y = [tex]-1(x+5)^2+3[/tex]
y = [tex]-1(x^2+10x+25)+3[/tex]
y = [tex]-x^2-10x-25+3[/tex]
y = [tex]-x^2-10x-22[/tex]
Hence, the equation of the parabola that has a vertex at (-5,3) and passes through (-4,2) is y = [tex]-x^2-10x-22[/tex]
Learn more about parabola here
brainly.com/question/20333425
#SPJ1
