What is the slope of this line y + 3 = -4(x - 5)?

Answers

Answer 1

y+3= -4x+20
y=-4x+17

Final answer: Slope=-4

Just a side note: This is written in point slope form or y-y1= m(x-x1). You could just look at the m value to find slope.

Related Questions

The length of the rectangle is 4 times the height. the area of the triangle is 63 cm2. Find the width. Round to the nearest tenth of an inch

Answers

area = l x h

l=4h

area = 4h x h = 4h^2

4h^2 =63

63/4 = 15.75

h^2 = 15.75

sqrt(15.75)=h

h = 3.968cm

rounded to nearest tenth would be 4.0cm

check L=4(4) = 16 x 4 = 64 ( since it was round 64 is pretty close to 63)

Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by thirty six = 1.

Answers

The equation of an ellipse is:
(x-h)²/a² + (y-k)²/b², where h, k are the coordinates of the center, a & b represent half of the major & minor axis respectively.
The given equation is:
x²/100 + y²/36 = 1.( a =10 and b = 6)

CENTER: Since h and k = 0, then the center of this ellipse is the origin (0,0)

VERTICES: a² = 100, → a = +10 and a = -10, then the right vertex is (10,0) and the left vertex is (-10,0)

FOCI: The distance "c" from the center to the focus is given by the following:

c² = a² - b²

c² = 100 - 36 = 64 and c = +8 and - 8

The coordinate of the right focus F₁(8,0) and F₂(-8,0) for the left focus

When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?

Answers

The resulting expression for x when the algebraic expression is simplified is 2.4x - 4.4

What is the simplification of an algebraic expression?

The simplification of algebraic expressions follows an approach where we aim to solve for the unknown variables of the algebraic expression.

From the given algebraic expression, we have:

0.3(4x – 8) – 0.5(–2.4x + 4)

Open brackets

1.2x - 2.4 + 1.2x - 2

Collect like terms

1.2x + 1.2x = 2.4 + 2

2.4x = 4.4

2.4x - 4.4

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Answer:

simply d

Step-by-step explanation:

If the ratio between the radii of the two spheres is 5:8, what is the ratio of their volumes?

Answers

Answer: The required ratio of the volumes of two spheres is 125 : 512.

Step-by-step explanation: Given that the ratio between the radii of the two spheres is 5 : 8.

We are to find the ratio of the volumes of the two spheres.

Let, 'r' and 'R' represents the radii of the two spheres, so

r : R = 5 : 8.

The volume of a sphere with radius 'r' units is given by the formula:

[tex]V=\dfrac{4}{3}\pi r^3.[/tex]

Let, V and V' be the volumes of the spheres with radius r and R units respectively.

Then, the ratio of the volumes of the two spheres will be

[tex]\dfrac{V}{V'}=\dfrac{\frac{4}{3}\pi r^3}{\frac{4}{3}\pi R^3}=\dfrac{r^3}{R^3}=\left(\dfrac{r}{R}\right)^3=\left(\dfrac{5}{8}\right)^3=\dfrac{125}{512}\\\\\\\Rightarrow V:V'=125:512.[/tex]

Thus, the required ratio of the volumes of two spheres is 125 : 512.

Answer: 125:512

Step-by-step explanation:

a p e x

Hey rectangular pan has a link that is for third the with the total area of the pan is 432 in.² what is the width of the cake pan

Answers

check the picture below

A man paid the bank $4,080 at the end of three years. This was the amount borrowed plus 12% interest for three years. How much money had he borrowed?

Answers

y=4080(0.82)^3 = 2249.58

(rounded to the nearest tenth)

Help!!!!ASAP PLEASE

Answers

The answer I believe is 40 inches.

If you add 10 in, plus 10 in below it, then the 6 in, and the 8 in, and 3 in and the other 3 in, you should get 40 in.

1440 you got to divide the shape half and find the area of those then times it by each other

Eight people enter a race. If there are no ties, in how many ways can the first two places come out

Answers

The number of ways the first two places can come out is 56.

Permutation and Combination

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nP_r = \dfrac{n!}{(n-r)!},\ \ ^nC_r = \dfrac{n!}{(n-r)!\times r!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given to us,

Eight people enter a race, n = 8,

There are no ties, r = 2,

As there is an equal chance of everyone being first and second, but also there will be cases where the first and second positions can be exchanged between the same two people. therefore, there is a particular order in which these 8 people can win. Thus, we will use permutation.

Permutation

[tex]^8P_2 = \dfrac{8!}{(8-2)!}=\dfrac{8!}{(6)!} = \dfrac{8\times 7\times 6!}{6!} = 8\times 7 = 56[/tex]

Hence, the number of ways the first two places can come out is 56.

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Solve for the unknown side.

last option is none of these

Answers

36+16 = 52
unknown side = square root 52 = 2 square root 13

answer
2 square root 13 (second choice)

The side of the triangle which is the hypotenuse side is [tex]2\sqrt{13}[/tex]

What is the hypotenuse side?

Using trigonometry, Trigonometry is the area of mathematics that deals with particular angle functions and how to use them in computations. In trigonometry, an angle can have six common functions. The terms sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc) are their names and abbreviations.

[tex]c^{2} =4^{2} +6^{2} \\\\c^{2}=16+36\\\\c^{2}=52\\\\c=\sqrt{52} \\\\c= 2\sqrt{13}[/tex]

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Provide the reasons for the proof:
Given: Trapezoid RIAG with RI = RG = GA
m angle I = m angle NAG
Prove: angle T ≈ angle N

Answers

Line RG || Line IA = Parallel property of a trapezoid

We know that shape RIAN is a parallelogram with RN || IA and RI || NA
RG is a part of the line RN, so RG is also parallel to IA

-----------------------------------------------------------------------------------------------------------------

m∠TRG = m∠I : Corresponding angle on a transversal

Line TI is a transversal to the parallel lines RN and IA.
m∠TRG and m∠I are corresponding to each other

----------------------------------------------------------------------------------------------------------------

m∠TGR = m∠NGA: Opposite angles on a transversal

Line TA is a transversal on line RN and IA

----------------------------------------------------------------------------------------------------------------

ΔTGR = ΔNGA: Opposite angles property in a parallelogram

Opposite angles on a parallelogram are equal

---------------------------------------------------------------------------------------------------------------

∠T = ∠N: Angle sum of triangle

∠T = 180° - (∠R + ∠G)
∠N = 180° - (∠G + ∠N)

Find the value of 'y' in the equation 3/y-3 =8

A.) y= -2 3/8

B.) y= -1 5/8

C.) y= 1 5/8

D.) y= 2 3/8

Answers

3 / (y - 2) = 8....multiply both sides by (y - 2), eliminating it on the left side

3 = 8(y - 2)
3 = 8y - 16
3 + 16 = 8y
19 = 8y
19/8 = y
2 3/8 = y <==

answer : D , y= 2 3/8

how do you solve this system of linear equation by substitution

x-3y=-12
y=2x+9

Answers

Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get: x-3(2x+9)=-12
Now, distribute: x-6x-27=-12
Add like terms: -5x-27=-12
Add 27 to both sides: -5x=15
Divide both sides by -5: x=-3

Now, substitute this value of x into the equation to find y: y=2(-3)+9
Multiply: y=-6+9
Add: y=3

Here is the solution: (x,y)=(-3,3)

Hope this explanation helped!

If y varies inversely as the square of x and y=4 when x=5, find y when x is 2

Answers

need to kind K

Y=k x 1/x^2 = k/x^2

Find K when y=4 & x=5

Y=k/x^2 =

4=k/5^2=

4=k/25

K=4*25 =100

When x = 2

Y=100/2^2

Y=100/4

Y=25

Circle A is inscribed in a quadrilateral. What is the perimeter of the quadrilateral?

Answers

AB + CD = BC + DA
Where A, B, C, and D are points on the quad, and AB is the length of the line A to B, etc.

Since you know three sides, you can easily solve for the fourth.

I need some assistance in figuring this out

Answers

Test if each is a function by the vertical line test. Do this by drawing vertical lines down on each grid unit. If there is more than one point on the line, it isn't a function. So, by using this information, the answer is C.

A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period and why?
A) Mean, because there are no outliers that affect the center.
B) Median, because there is 1 outlier that affects the center.
C) Interquartile range, because there is 1 outlier that affects the center.
D) Standard deviation, because there are no outliers that affect the center

Answers

I believe the answer is D.

Answer:

B) Median, because there is one outlier that affects the center

Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample.
If x = 4, then x2 = 16

Answers

If [tex]x^2=16[/tex] then [tex]x=4[/tex].

It's false, because if [tex]x^2=16[/tex], then [tex]x=4 \vee x=-4[/tex]

The equation =+y3115
is solved in several steps below.
For each step, choose the reason that best justifies it.

Answers

Your selections are correct, and the last one should be simplifying.

Suppose that $88 comma 00088,000 is invested at 3 and one half3 1 2% interest, compounded quarterly. a) find the function for the amount to which the investment grows after t years

Answers

I don't know what you mean by comma 00088,000
But
Amount = 88(1+.035/4)^(.04)(t) is the formula

A local university accepted 2300 students out of 4500 applicants for admission. What was the acceptance rate expressed as a percent

Answers

(2300 / 4500) * 100 = 51.1%

Hope this helps! :)

Determine how many, what type, and find the roots for f(x) = x^3 - 5x^2 – 25x + 125

Answers

x^3-5x^2-25x+125

(x^3+125)-5x^2-25x

(x+5)(x^2-5x^2+25)-5x^2-25x

(x+5)(x^2-5x^2+25)-5x(x+5)

(x+5)(x^2-5x+25-5x)

(x+5)(x^2-10x+25)

(x+5)(x-5)(x-5)

x= -5 and 5

So there are two roots when x= ±5

df/dx=3x^2-10x-25

d2f/dx2=6x-10

So when x=-5, acceleration is negative and this is a local maximum for f(x) and when x=+5, acceleration is positive and this is a local minimum for f(x).

Ryan flew from Wiley Post to Ponca City and back. Ryan maintained an average rate of 450 mph going to Ponca City and an average rate of 400 mph returning to Wiley Post. If the actual flying time for the round trip was one hour, about how far is it from Wiley Post to Ponca City? Round to nearest mile.

A.
0.47 miles

B.
212 miles

C.
239 miles

D.
3,600 miles

Answers

The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
               d             r            t
there       d           450         t
back        d           400        1-t

Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.

Can someone help me with this math question?

Answers

it would be 19

42-23=19

42-23=19

Let me know if you need any further help.

ANSWER PLEASE

In the figure, sin ∠MQP =

a. cos N and sin R
b. sin R and sin N
c. cos N and sin M
d. cos R and sin N

Answers

The easiest way to get this problem correctly is by calculating the sines and cosines of all the angles in the choices then choosing the correct choice.

sin ∠MQP = sin(56) = 0.829
cos ∠N = cos(56) = 0.559
sin ∠R = sin(34) = 0.559
sin ∠N = sin(56) = 0.829
cos ∠N = cos(56) = 0.559
sin ∠M = sin(90) = 1
cos ∠R = cos(34) = 0.828

Based on these findings, it is obvious that sin ∠MQP is equal to cos ∠R and sin ∠N.
Thus, the correct choice is "d".

Find an equation in standard form for the ellipse with the vertical major axis of length 18 and minor axis of length 10.

Answers

[tex]\bf \textit{ellipse, vertical major axis}\\\\ \cfrac{(x-{{ h}})^2}{{{ b}}^2}+\cfrac{(y-{{ k}})^2}{{{ a}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ vertices\ ({{ h}}, {{ k}}\pm a)\\ \textit{major axis}\ a+a=18\\ \qquad 2a=18\implies \boxed{a=9}\\ \textit{minor axis}\ b+b=10\\ \qquad 2b=10\implies \boxed{b=5} \end{cases} \\\\\\ \begin{cases} h=0\\ k=0\\ a=9\\ b=5 \end{cases}\implies \cfrac{x^2}{5^2}+\cfrac{y^2}{9^2}=1[/tex]

check the picture below.

Answer:

x^2/25 + y^2/81 =1

Step-by-step explanation:

solved it

What are radians, how do I solve for the measurement of radians in the angle of BAC

Answers

tan BAC = 7 / 7 = 1

So BAC = 45 degrees, which is 45 / 360 * 2pi = pi/4

An 800 gallon swimming pool is being drained. After five hours, 500 gallons have been drained. If the rate of drainage continues, how long will it take to drain the pool?

A) 0.125 hours

B) 5 hours

C) 8 hours

D) 9 hours

Answers

I think it's 8 hours. If it takes 5 hours to drain 500 gallons, then the rate is 100 gallons drained per hour. So if it continues at this rate, the remaining 300 gallons would be drained in three hours, plus the five spent on the other 500 gallons, so it would be 8 hours for all 80p gallons to empty the swimming pool .

Given a polynomial f(x), if (x + 7) is a factor, what else must be true? Help plzzz im running out of time
f(0) = 7
f(0) = −7
f(−7) = 0
f(7) = 0

Answers

Answer: f(-7) = 0
For the factored form of f(x), if x = -7, then one of the factors will be equal to 0, since (-7 + 7) = 0. This will cause the entire y-value to be 0, because anything multiplied by 0 = 0.

A mouse spots an owl flying 10.1 feet over a nearby bush. The mouse is 30 feet away from the bush, and it sees the owl at a certain angle of elevation.

Which trigonometric equation can be used to solve for x, the angle of elevation from the mouse to the owl?

Answers

It's the first one ([tex]10.1 = 30 tan x[/tex]). 10.1m makes the opposite side and 30m makes the adjacent side of the right angle triangle. [tex]tanx = 10.1/30[/tex], so 30 tan x[/tex]= [tex]10.1.

Which equation would best help solve the following problem? Rennie kicks a field goal with an initial vertical velocity of 31 m/s. How long will it take the football to hit the ground?

–4.9t2 + 31t = 0

–4.9t2 – 31t = 0

16t2 + 31t = 0

–16t2+ 31t = 0

Answers

a=g

v=⌠a

v=gt+vi

h=⌠v

h=gt^2/2+vit+hi

So height as a function of time is:

h(t)=gt^2/2+vit+hi

g=-9.8m/s^2, vi=31m/s, hi=0 so

h(t)=-4.9t^2+31t

And it will hit the ground when h(t)=0 so

-4.9t^2+31t=0

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