A line has a slope of -3 and passes
through the point (8,-12).

Answer:

x=15

Step-by-step explanation:

1. Solve

4x-6=54

4x-6+6=54+6 <=== Add 6 to both sides

4x=60

4x÷4=60÷4 <=== divide by 4 on both sides

x=15

2. Check

4x15-6=54 <=== Replace x with 15 to check

60-6=54 <=== 4x15 equals 60

54=54 <=== 60-6 equals 54 and 54=54

so it is correct!!

The proportional relationship between (0,0) and (4,11) represents a direct variation

The equation that represents the graph is  y = 11x/4

The points on the graph are given as:

(x,y) = (0,0) and (4,11)

The equation of the graph is then calculated using:

y = (y₁/x₁) * x

This gives

y = (11/4) * x

Evaluate

y = 11x/4

Hence, the equation that represents the graph is  y = 11x/4

Read more about proportional relationships at:

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Step-by-step explanation:

you could not find the formula ?

the volume of a cylinder is ground area × height.

and the ground area is a circle.

so, in total, we have

pi×r²×h

r being the radius (half the diameter), h being the height.

therefore, the volume of the given cylinder is

pi×(6/2)²×7 = pi×3²×7 = pi×63 = 197.9203372... mm³

Answer:

C because he has to interview every student in his class to collect data

Answer:

You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Answer:

N/a^3/2

Step-by-step explanation:

loga(N/X)=3/2

N/X= a^3/2

X= N/a^3/2

Step-by-step explanation:

When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:

[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]

Then use the formula:

[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]

[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]

[tex]x = n {a}^{ - \frac{3}{2} } [/tex]

Answer:

1,080

Step-by-step explanation:

Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.    

Answer:

-2x

Step-by-step explanation:

x-(-3)

-2x

answer will be -2x ok follow me

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

Learn more about Pythagorean theorem on:

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Answer:

1. (-3) and (-4)

2. (-5) and 6; vise versa

Answer:

Step-by-step explanation:

hello :

1)Two numbers have a product of 12 but their sum is -7 :

means :  xy=12 ....(*)

              x+y = -7 ....(**)

solve this system : use (**) you have   x = -y-7 put this value in (*)

so : (-y-7)y = 12

-y²-7y-12 = 0

y² +7y+12=0       a=1 b=7   and  c= 12

the discriminant  delta =b²-4ac        delta = 7²-4(1)(12) = 1

y1 = (-7-1)/2  = -4      and y2 =  (-7+1)/2 =-3

but x= -7-y

if :y =  - 4   x= -7-(-4) =-3

if : y=-3   x = -7-(-3) =-4

2) same method : xy=-30

                             x+y=1

Answer:

I believe the answer is C, the area of a circle, because pi is irrational, and anything multiplied by it will always result in an irrational number.

Step-by-step explanation:

I hope this helps and please mark me as brainliest!

Answer:

Lines can be divided in smaller segments by using ratios

The coordinates of B are:

The given parameters are:

The coordinate of B is calculated using:

So, we have:

Simplify fraction

Hence, the coordinates of B are:

Step-by-step explanation:

Answer:

F, 3^4+x

Step-by-step explanation:

You just have to add the powers together but not the actual base, you keep it as it is

Answer:

-1/3

Step-by-step explanation:

Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.

Answer:

1. [tex]x^2-6x+8=0[/tex]

2. [tex](x-4)(x-2)=0[/tex]

3. [tex]x=4 \text{ and } x=2[/tex]

4. [tex]x=4 \text{ and } x=2[/tex]

Step-by-step explanation:

1. When using substitution all we do would be is substituse the y for a 3.

This leaves us with the equation:

[tex]3=-x^2+6x-5[/tex]

Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]

or if we shift the 0 to the other side:

[tex]x^2-6x+8=0[/tex]

2. In order to factor the equation we can use the butterfly method:

[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:

[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.

3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]

4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.

→ Area of rectangle = Length * Width

Here given:

Here area:

Answer:

1071 m²

Step-by-step explanation:

The area of a rectangle is basically the length multiplied with the width. The length can be any side length, but the width must be the adjacent to the length. Thus, we can let the length be 63 meters and the width be 17 meters as the width is adjacent to the length.

⇒ Area of rectangle = Width × Length

⇒ Area of rectangle = 17 × 63

⇒ Area of rectangle = 1071 m²

Answer:

915

Step-by-step explanation:

V=l*w*h V=1/2*b*h*l

V of the rectangular block: 15*5*8 = 600

V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5

When you double it, it cancels out the 1/2

157.5*2=315

315+600=915

It's 582ft I have noclue what dude is talking about

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

Answer:

D.

Step-by-step explanation:

1) if the points (1;-1) and (4;0) belong to the line, then

2) the equation of this line is 3y-x=-4;

3) the inequality is 3y-x≤-4.

+ - makes a minus

+ + make a plus

-- makes a plus

7.0 - 2.9 = 4.1

Hope this helps!

now, this is assuming there are 365 days in 1 year, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]

[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]

[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]

Answer:

It depends on the question! You should look at the other values of the data and see what they are rounded to and apply it for the mean too. If not, I normally round it to 3 significant figures.

Answer:

b: y = 2x + 5

Step-by-step explanation:

you can find this out by first looking at what the slope is

the slope is rise over run which is 2

then you can see that the y intercept is 5

y = 2x + 5

Step-by-step explanation:

y=4x + 3

it should have another one

The volume of the cylinder with the same radius and height as the cone is: 135 cm³.

Relating both volumes, we would have:

Volume of a cylinder = 3(volume of a cone), if they both have equal height and radius.

Given that a cone and a cylinder have the same radius (r) and the same height (h), and the cone has a volume of 45 cm³, therefore:

Volume of the Cylinder = 3(45)

Volume of the Cylinder = 135 cm³.

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how many pieces of tape can be cutted.

[tex]5 \frac{1}{3} \div \frac{2}{3} [/tex]

[tex] = (5 + 0) + ( \frac{1}{3} + \frac{2}{3} )[/tex]

[tex] = 5 + \frac{1 + 2}{3} [/tex]

[tex] = 5 + \frac{3}{3} [/tex]

[tex] = 5 + \frac{3 \div 3}{3 \div 3} [/tex]

[tex] = 5 + \frac{1}{1} [/tex]

[tex] = 6[/tex]

therefore, 6 pieces of tape can be cutted.

As ray UW bisects ( divides the angles into two equal parts )

WUT = WUV

6x - 10° = 4x + 6°

6x - 4x = 6° + 10°

2x = 16°

x = 16° ÷ 2 = 8°

Putting the value of x in the Angle WUT

6 × 8° - 10° = 48° - 10° = 38°