Answer:
An equation for the line that has a rate of change of 2 and passes through the point (-1, -5) will be:
[tex]y=2x-3[/tex]Step-by-step explanation:
As the equation for the line in the point-slop form is given by
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope (rate of change).
As we know that when we talk about 'slope', it means we are talking about 'rate of change'.Now given the values
Rate of change = slope = m = 2point (-1, -5)substituting the values m = 2 and the point (-1, -5)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-5\right)=2\left(x-\left(-1\right)\right)[/tex]
[tex]y+5=2\left(x+1\right)[/tex]
[tex]y+5-5=2\left(x+1\right)-5[/tex]
[tex]y=2x-3[/tex]
Therefore, an equation for the line that has a rate of change of 2 and passes through the point (-1, -5) will be:
[tex]y=2x-3[/tex]The equation of the line that passes through (-1, -5) and has a slope of 2 is;
[tex]\mathbf{y + 5 = 2(x + 1)}[/tex] (point-slope form)or
[tex]\mathbf{y = 2x - 3}[/tex] (slope-intercept form)Recall:
Equation of a line can be written either in the slope-intercept form as y = mx + c, or in point-slope form as y - b = m(x - a).m = slope; c = y-interceptRate of change = slopeGiven:
Slope (m) of the line is 2
Point on the line is (-1, -5)
Write the equation in point-slope form by substituting m = 2, and (a, b) = (-1, -5) into y - b = m(x - a).
Thus:
[tex]y - (-5) = 2(x - (-1))\\\\\mathbf{y + 5 = 2(x + 1)}[/tex]
Rewrite in slope-intercept form
[tex]y + 5 = 2x + 2\\\\y = 2x + 2 - 5\\\\\mathbf{y = 2x -3}[/tex]
Therefore, the equation of the line that passes through (-1, -5) and has a slope of 2 is;
[tex]\mathbf{y + 5 = 2(x + 1)}[/tex] (point-slope form)or
[tex]\mathbf{y = 2x - 3}[/tex] (slope-intercept form)Learn more here:
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The sale price of every item in a store is 85% of its usual price.
The usual price of a backpack is $30, what is its sale price?
The usual price of a sweatshirt is $18, what is its sale price?
The usual price of a soccer ball is $24.80, what is its sale price?
Answer:
Sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.
Step-by-step explanation:
A). Usual price of a sweat shirt is = $18
Sale price of the sweat-shirt is 85% of the usual price.
Therefore, Sale price = 85% of $18
=
= $15.30
B). Usual price of a soccer ball is = $24.80
Sale price of the soccer ball is 85% of its usual price.
Therefore, Sale price = 85% of $24.80
=
= $21.08
Therefore, sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.
heres the real answer hope it helps :)
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Why is 50 miles per hour a unit rate, and 150 miles per 3 hours is n
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Answer:
because unit rate means 1 hour not 3 hour.
3/5x -27 =24 what is x
Answer:
X = 85
Step-by-step explanation:
Jared Kushner.......
Answer:
huh?
Step-by-step explanation:
^,÷&&÷&#^÷^#*#;#^#&
Answer:
what about him-
Step-by-step explanation:
ill answer in comments
An inscribed angle in a circle intercepts an arc whose measure is greater than 180
The angle is..
Alway acute
Sometime acute
Never acute
Answer:
The correct option is;
Never acute
Step-by-step explanation:
When an angle intercepts an ark, we have;
The legs of the angle meets with the endpoints of the arc
Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle
By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle
hey I need help please
Answer:
1 I think
Step-by-step explanation:
A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2) What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)
Answer:
(0, 2) or C
Step-by-step explanation:
The solution to the system of linear equations is (0,2). The correct option is C.
What is a system of linear equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x) passes through the points at (-3, 0) and (0, 2).
Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).
Therefore, the solution to the system of linear equations is (0,2). The correct option is C.
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Fill in the blacks please! Due in 15 mins!
Answer:
The numbers in bold are the blanks.
Step-by-step explanation:
7/5 + 3/8 = 56/40 + 15/40 = 71/40
Answer:
1 31/40 or
71/40
Step-by-step explanation:
7/5+3/8=56/40+15/40=71/40=1 31/40
Given the sample triangle below and the conditions csc B = 10, b = 0.5, find the hypotenuse of the triangle.
5
10
20
Answer:
hey! i dont recommend putting that much points into one question, it lowers your point value meanig, you cant answer more questions than you usually can
Step-by-step explanation:
Use the table to determine whether the relationship is proportional. If so, write an equation for the relationship. Tell what each variable you used represents.
HELP I ALREADY PUT THREE QUESTIONS ABT THIS NONE GOT ANSWERED
Answer:
3 is not 4 is proportional
Step-by-step explanation:
URGENT PLEASE HELP
What method can be used to prove the triangles below are congruent?
SAS
HL
SSS
Not possible
The method that can be used to prove the triangles below are congruent is SSS
(side, side, side)
Option C is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Two right triangles.
The hypotenuse of each triangle is equal
The base of each triangle is equal.
The height of the triangle is common to both triangles.
Now,
A
/ | \
/ | \
/ | \
/ | \
B D C
Triangle ABD is congruent with Triangle ADC
AB = AC (side)
BD = CD (side)
AD = AD (side)
Thus,
The method that can be used to prove the triangles below are congruent is SSS
(side, side, side)
Option C is the correct answer.
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800 children a day ride on the roller coaster, but another 200 are turned away because they're not tall enough. What proportion of the total number of children are turned away?
A) Half are turned away
B) One quarter are turned away
C) One fifth are turned away
Answer:
Step-by-step explanation:
C
Answer:
B
Step-by-step explanation:
At a concession stand, seven hot dogs and two hamburgers cost 14.50, two hot dogs and seven hamburgers cost 17.00. Find the cost of one hot dog and the cost of one hamburger
Given:
Seven hot dogs and two hamburgers cost 14.50
Two hot dogs and seven hamburgers cost 17.00.
To find:
The cost of one hot dog and the cost of one hamburger.
Solution:
Let the cost of one hot dog be x and the cost of one hamburger be y.
According to the question,
[tex]7x+2y=14.50[/tex] ...(i)
[tex]2x+7y=17.00[/tex] ...(ii)
Multiply (i) by 7.
[tex]49x+14y=101.5[/tex] ...(iii)
Multiply (ii) by 2.
[tex]4x+14y=34.00[/tex] ...(iv)
Subtract (iv) from (iii).
[tex]49x-4x=101.5-34[/tex]
[tex]45x=67.5[/tex]
Divide both sides by 45.
[tex]x=1.5[/tex]
Put x=1.5 in (i).
[tex]7(1.5)+2y=14.50[/tex]
[tex]10.50+2y=14.50[/tex]
[tex]2y=14.50-10.50[/tex]
[tex]2y=4[/tex]
Divide both sides by 2.
[tex]y=2[/tex]
Therefore, the cost of one hot dog is 1.5 and the cost of one hamburger is 2.
Answer:
the other person is correct
Step-by-step explanation:
i put in the answers and it’s correct
WILL GIVE BRAINLIEST!!!!!!
If the trapezoid is isosceles, and KL = 2.8 units in length, what is the length of NM? Explain how you determined the length of NM.
Answer:
MN = 2.8 units
Step-by-step explanation:
By the property of isosceles trapezoid,
1). Bases are parallel.
2). Base angles of an isosceles trapezoid are congruent.
2). Opposite sides of the congruent angles are congruent.
By third property,
Measure of side KL = Measure of side MN
2.8 = Measure of side MN
Another way to find the length of MN is,
Distance between M and N = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
MN = [tex]\sqrt{(3-1)^2+(0+2)^2}[/tex] = [tex]\sqrt{8}[/tex]
MN = 2.8 units
Therefore, MN = 2.8 will be the answer.
|x+4 | =8
Dont know this
Answer: 4+4=8
Step by step explanation:
A rabbit is running at a speed of 45 miles per hour. How many feet is the rabbit traveling each second?
Answer:
66
Step-by-step explanation:
The rabbit is traveling 66 ft per second.
PLEASE HELP ASAP!!! IF YOU WANT BRAINLIEST DONT ANSWER GIBBERISH AND BE DESCRIPTIVE!!!
Answer:
i dont know but i need brainliest can you still do it plz
Step-by-step explanation:
what is 10.7+ 2 times
30.9
Answer:
10.7 + 2 + 10.9 10.9 x 30.9 is 336.81
Step-by-step explanation:
BIG BRAIN POWER
Let f(n) be the average number of days a house stays on the market before being sold for price p in $1,000s, which statement best describes the meaning
of 1(250)?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
brainlest plz
please answer these:)
Answer:
Step-by-step explanation:
Not a function
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.
For
x2+y2=9
(for example)
x=0
there are two values for y (namely +3 and −3) which satisfy the equation
If you plug this graph into a calculator, you will find that it is a graph of a circle.
Circles have the formula x2+y2=r2 if they are centered at the origin.
From that, we can find that the radius is 3, and it is centered at the origin.
To find the domain and range, we just find the largest and smallest x and y values.
Since the radius is 3, and the graph is centered at the origin, the largest x value is 3. Similarly, the smallest x value is -3.
The domain is −3≤x≤3
We can use the same thing for the range. The radius is 3, so the largest and smallest values of the y will be 3 and -3.
The range is -3≤y≤3
Answer:
See below
Step-by-step explanation:
6. Look at the graph of the equation x^2+y^2=8. Give its domain and range.
Both domain and range are: (- √8, √8) or (-2.828, 2.828)7. Use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
The vertical line test. If more than one point is crossed on the graph by a vertical line, then the relation is not considered to be a function.8. Is there any value(s) of the domain of x^2+y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
There are two points - 2.828 and 2.828 that pass the vertical line test but all the other points don't, therefore this relation is not a functionFind the slope of the line that passes through:
(-3,-4) and (7,6)
PARTA
Acar travels 30 miles in of an hour. What is the average speed, in miles per hour, of the car?
1 2
5
3
Enter your answer in the box below.
miles per hour
1
2
3
71
4
5
6
7
8
9
The speed of car is 45.3 miles per hour.
Further explanation:
Speed is the rate at which an object changes position with respect to time.
Given
The formula for calculating speed is:
The speed of car is 45.3 miles per hour.
Keywords: Speed, distance
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I have test corrections that are due tomorrow at 5pm but I cheated on it but I got some answers wrong on purpose. Now I don't know what to put for the wrong ones since I didn't do the work. She wants us to explain what we did wrong and how we fixed it but I don't know. I need help ASAP
Answer: Since you know some of the answers you put wrong say what I did wrong was I didn’t put...(and say the correct answer but like in a way )
Step-by-step explanation:
what is 90,000 in standard form
Answer:
9*10^4
Step-by-step explanation:
Answer:
90,000 is written and 9x 10^4 in scientific notation
1.34 - 1.07 mathematics
Answer:
0.27
Step-by-step explanation:
If you subtract 1.07 from 1.34 it would equal 0.27.
The vertex of y= 22 - 82 +18 is
You buy gallons of gasoline at $2.37 per gallon and pay $21.33. Write an equation to find the number of gallons purchased. Then find the number of gallons of gasoline that you purchased.
Answer: 2.37x = 21.33
You bought 9 gallons
Step-by-step explanation:
what is the perpendicular slope intercept form for this plss help!!
What is the slope-intercept equation for the line below?
Answer:
where's the problem at like the work sheet?
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