Sketch a graph of x−y=−4

Answer: 198cm

Step-by-step explanation:

We are given the dimensions of a rectangular prism;

3cm 9cm and 6cm

We are required to determine its surface area;

We need to know that;

Surface area of a rectangular prism is given by;

A = 2(WL+HL+WH)

Where L, W and H are length , width and height respectively;

Assuming;

Width is 3 cm

Length is 9 cm, and

Height is 6 cm

Then;

Area = 2 ( (3×9) + (6×9) + (3×6))

       = 2(99)

      = 198 cm²

Therefore, the area of the rectangular prism is 198 cm²

Step-by-step explanation:

When written in standard form, yout can just look at the first term

If the first term is positive it opens upwards

if the first term is negative, it opens downwards

Answer:

the square root of 2 is approximately 1.41

Step-by-step explanation:

Hope that helps!

Answer:

The answer is 1.41421356237...

Step-by-step explanation:

the square root of 2=2^1/2

2=2^1/2

2^12=1.41421356237...

The square root of 2=1.41421356237...

1.41421356237...

Answer:

Which expression is NOT equivalent to -20? O A (-80) 4 80 В — (0) ОО с (30) 80 ор 80 (-4 -

Step-by-step explanation:

Answer:

○ C. [tex]\displaystyle 10\:in.[/tex]

Explanation:

In an equilateral triangle, all angles and edges are congruent, so with that, you have your answer.

I am joyous to assist you at any time.

Answer:

y/2 = 9

In order to find the value of y, we must first isolate y by performing inverse operations.

Right now, y is being divided by 2, so the inverse operation of division is multiplication.

So we multiply by 2 on both sides:

y/2 = 9

*2     *2

2/2y = 18

y = 18

Answer:

a triangle witih side lengths of 12,16,20

Hi!

The point-slope formula looks like this:

y-y1=m(x-x1)

in this case

y1=1

m=-4

x1=-3

plug in the values

[tex]\boxed{\boxed{\bold{y-1=-4(x-(-3)}}}[/tex]

Note:

For Point-Slope Form, we use a point that the line passes through and the slope of the line.

Actually, that's why it's called "Point-Slope Form" right? =)

Hope everything is clear.

Let me know if you have any other questions; if so, please feel free to use the comment section.

#LearningDoesn'tEnd

#LearningIsFun

[tex]\rule{200}{2}[/tex]

The speed of the jet is 1302 miles per hour.

Since a private jet can fly 1134.6 miles against a 27-mph headwind in the same amount of time it can fly 1469.4 miles with a 27-mph tailwind, to find the speed of the jet you must perform the following calculation:

Therefore, the speed of the jet is 1302 miles per hour.

Learn more about speed determination in https://brainly.com/question/15191306

Answer: 346.2yd³

Step-by-step explanation:

Volume = Area of Base x Height

Volume = πr² x 9

Volume = π(3.5)² x 9

Volume = 38.465 x 9

Volume = 346.184 ≅ 346.2yd³

Answer:

try 28.8

Step-by-step explanation:

The probability of randomly selecting a can between 205cm to 210cm is 0.8765

Data;

To solve this problem, we can simply use the formula of probability and substitute the value.

[tex]p\frac{(205-108.5)}{2..5} < \frac{x - 208.5}{2.5} < \frac{210 - 205.5}{2.5}\\p(-1.4 < z < 1.8)[/tex]

Rearranging the equation and solving for the z-values;

[tex]p(z < 1.8-p < z < -1.4)[/tex]

This becomes

[tex]p = 0.9641 - 0.0876 = 0.8765[/tex]

The probability of randomly selecting a can between 205cm to 210cm is 0.8765

Learn more on normal distribution here;

https://brainly.com/question/4079902

Answer:

answer is 90° - 80° = 10° because each quartile equals 90°

Answer:

no solution

Step-by-step explanation:

1

Since 12=-4112=−41 is false, there is no solution.

Answer:

i am pretty sure its B..............

Answer:

Step-by-step explanation:

I am not sure why there is no interest rate given as it is common that there will be an interest charge for a monthly installment plan.

Assuming it is an interest-free plan, the remainder payment is for an amount of:

680000*(1 - 12.5%)

= 680000*(0.875)

= 595000 naira

Dividing that into 12 equal monthly, each monthly installment is

595000/12 = 49583.33

~49583 naira

Answer:

3484 ft²

explanation:

area of parallelogram is base * height

given:

using the formula:

base * height

67 * 52

3484 ft²

Check the picture below, so the parabola looks more or less like so, hmmm with a vertex at (-1 , -4), so, using those values from the table

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{vertex}{\stackrel{h}{-1}~~,~~\stackrel{k}{-4}}\qquad \implies y=a[x-(-1)]^2-4\implies y=a(x+1)^2-4 \\\\\\ \textit{we also know that} \begin{cases} x=2\\ y=14 \end{cases}\implies 14=a(2+1)^2-4\implies 18=9a \\\\\\ \cfrac{18}{9}=a\implies 2=a~\hspace{10em}\boxed{y=2(x+1)^2-4}[/tex]

Answer:

ugiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigygyu

Step-by-step explanation:

Answer:

d = 4 miles

Step-by-step explanation:

combined speed = 7 + 9 = 16 mph

s = d/t

d = st

d = 16 miles/hr × 0.25 hr

d = 4 miles

Please mark me as brainliest

Answer:

The base is 14 and the height is 8

Step-by-step explanation:

8 times 14 is 112. 112 divided by 2 is 56.

Answer:

Step-by-step explanation:

point form: (-2,4) (-5,1)

equation form: x= -2, y=4

                         x= -5, y=1

[tex]\huge \underline\frak \red{Answer}[/tex]

[tex]\small\mathbb\green{(-2;4) \: or \: (-5;1)}[/tex]

[tex]\small\mathbb\green{y=x+6}[/tex]

[tex]\small\mathbb\green{y=x²+8x+16}[/tex]

_____________________________________

[tex]\small\mathbb\green{x+6=x²+8x+16}[/tex]

[tex]\small\mathbb\green{x²+8x+16-x-6=0}[/tex]

[tex]\small\mathbb\green{x²+7x+10=0}[/tex]

[tex]\small\mathbb\green{x²+5x+2x+10=0}[/tex]

[tex]\small\mathbb\green{x(x+5)+2(x+5)=0}[/tex]

[tex]\mathbb\green{(x+2) (x+5) = 0}[/tex]

[tex]\small\mathbb\green{x+2=0 \: ➢ \: x¹ = -2}[/tex]

[tex]\small\mathbb\green{x+5=0 \: ➢ \: x² = -5}[/tex]

_______________________________________

[tex]\small\mathbb\green{y¹ = -2+6 \: ➢ \: y¹ = 4}[/tex]

[tex]\small\mathbb\green{y² = -5+6 \: ➢ \: y² = 1}[/tex]

_______________________________________

[tex]\small\frak\pink{Hope \: its \: helpful \: to \: you}[/tex]

Answer:

are congruent

Step-by-step explanation:

The narrowest definition of the number -6 is, it is the exact opposite of 6.

A real quantity having a value less than zero is said to be negative numbers.

Given a number -6

It is exact opposite of number 6.

Hence, The narrowest definition of the number -6 is, it is the exact opposite of 6.

For more references on negative numbers, click;

https://brainly.com/question/258076

#SPJ2

Answer:

x − 4x + 6y + (14x − 5y) ⇔ 11x+y

(5x − 3y) − x + 3x − 5y ⇔ 7x-8y

5(x + y) + 6(x − y) ⇔ 11x-y

3x + 3y + 2(2x − y)  ⇔  7x+y

Step-by-step explanation:

Solve the following;

3x + 3y + 2(2x − y)

4(x + y) − 3(x + y)

x − 4x + 6y + (14x − 5y)

(5x − 3y) − x + 3x − 5y

5(x + y) + 6(x − y)

Solve:

3x + 3y + 2(2x − y)

[tex]=3x+3y+4x-2y[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3x+4x+3y-2y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3x+4x=7x[/tex]

[tex]=7x+3y-2y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3y-2y=y[/tex]

[tex]=7x+y[/tex]

Hence, this tiles will  be used.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

4(x + y) − 3(x + y)

[tex]\mathrm{Add\:similar\:elements:}\:4\left(x+y\right)-3\left(x+y\right)=\left(x+y\right)[/tex]

[tex]=x+y[/tex]

Thus, this tiles will not be used.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x − 4x + 6y + (14x − 5y)

[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]

[tex]6y+\left(14x-5y\right)=6y+14x-5y[/tex]

[tex]=x-4x+6y+14x-5y[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=x-4x+14x+6y-5y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:x-4x+14x=11x[/tex]

[tex]=11x+6y-5y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:6y-5y=y[/tex]

[tex]=11x+y[/tex]

Thus, this tiles will be used

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(5x − 3y) − x + 3x − 5y

[tex]\mathrm{Apply\:rule}:\quad \left(a\right)=a[/tex]

[tex]\left(5x-3y\right)=5x-3y[/tex]

[tex]=5x-3y-x+3x-5y[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=5x-x+3x-3y-5y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:5x-x+3x=7x[/tex]

[tex]=7x-3y-5y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-3y-5y=-8y[/tex]

[tex]=7x-8y[/tex]

Hence, this tiles will be used

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

5(x + y) + 6(x − y)

[tex]=5x+5y+6\left(x-y\right)[/tex]

[tex]=5x+5y+6x-6y[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=5x+6x+5y-6y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:5x+6x=11x[/tex]

[tex]=11x+5y-6y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:5y-6y=-y[/tex]

[tex]=11x-y[/tex]

Hence, this tiles will be used

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Learn with lenvy~

Answer:

6y

------

y^2 -16

Step-by-step explanation:

Answer:

First step : State the null and the alternative hypothesis

   The null hypothesis is  [tex]H_o : \mu = 3.5 \ hours[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 3.5 \ hours[/tex]

Second Step : Calculate the test statistics

   Generally the test statistics is mathematically represented as

             [tex]z = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>           [tex]z = \frac{3.75 - 3.5 }{\frac{0.7 }{\sqrt{45} } }[/tex]

=>           [tex]z  =  2.11[/tex]

Third Step  : Obtain the p-value

Generally from the z-table the probability of  z  =  2.11 is

    [tex] P(Z  >  2.11) =  0.0174[/tex]

Fourth Step : Compare the p-value with the level of significance and state the decision rule and the conclusion

From the obtained value  the [tex]p-value  <  \alpha[/tex] hence

 The decision rule is  

The null hypothesis is rejected

 The conclusion is

There is sufficient evidence to conclude that average of the laptop batteries is more than 3.5 hours of use per charge

Step-by-step explanation:

From the question we are told that

  The population mean is [tex]\mu = 3.5 \ hours[/tex]

   The sample size is  n =  45

   The standard deviation is  [tex]\sigma = 0.7 \ hours[/tex]

   The sample mean is  [tex]\= x = 3.75[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

First step : State the null and the alternative hypothesis

   The null hypothesis is  [tex]H_o : \mu = 3.5 \ hours[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 3.5 \ hours[/tex]

Second Step : Calculate the test statistics

   Generally the test statistics is mathematically represented as

             [tex]z = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]

=>           [tex]z = \frac{3.75 - 3.5 }{\frac{0.7 }{\sqrt{45} } }[/tex]

=>           [tex]z  =  2.11[/tex]

Third Step  : Obtain the p-value

Generally from the z-table the probability of  z  =  2.11 is

    [tex] P(Z  >  2.11) =  0.0174[/tex]

Fourth Step : Compare the p-value with the level of significance and state the decision rule and the conclusion

From the obtained value  the [tex]p-value  <  \alpha[/tex] hence

 The decision rule is  

The null hypothesis is rejected

 The conclusion is

There is sufficient evidence to conclude that average of the laptop batteries is more than 3.5 hours of use per charge

To solve linear equations, we must perform inverse operations on both sides of the equal sign to cancel values out.

We perform inverse operations to combine like terms. This means to get x to one side and everything else on the other.

[tex]5x+7=15[/tex]

Because 7 is being added to x, subtract it from both sides:

[tex]5x+7-7=15-7\\5x=8[/tex]

Because x is being multiplied by 5, divide both sides by 5:

[tex]\dfrac{5x}{5}=\dfrac{8}{5}\\\\x=\dfrac{8}{5}[/tex]

Therefore. [tex]x=\dfrac{8}{5}[/tex].

[tex]7x+4=5x-18[/tex]

Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:

[tex]7x+4-5x=5x-18-5x\\2x+4=-18[/tex]

To isolate x, subtract 4 from both sides:

[tex]2x+4-4=-18-4\\2x=-22[/tex]

Divide both sides by 2:

[tex]\dfrac{2x}{2}=\dfrac{-22}{2}\\\\x=-11[/tex]

Therefore, [tex]x=-11[/tex].