The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2)?

Answer:

[tex]{ \boxed{6 + a = 13 }}[/tex]

Answer:

Below

Step-by-step explanation:

Let's say that x represents the mystery number

5(x + 6) = 65

5x + 30 = 65

5x = 35

Divide both sides by 5

x = 7

We can check to see if this works

6 + 7 = 13 (the sum of 6 and x)

13 x 5 = 65

Hope this helps!

Answer:

Base area is 36 square meters

Step-by-step explanation:

The volume of a rectangular prism is V = (height)(length)(width).  We know all of these dimensions except for the area of the base, which is (length)(width).

Solving this equation for (length)(width), we get:

                                                       volume        72 m^3

(length)(width) = (area of base) = -------------- = -------------  = 36 m^2

                                                         height          2 m

Answer:

0.36

Step-by-step explanation:

Answer:

1) 2400MB

2) 3 minutes

Step-by-step explanation:

1) 600 MB/Min * 4 Min = 2400MB

2) at 800 MB/Min a 2400MB file will require 2400MB/800MB/Min

  2400/800 = 3Min

Answer:

A

Step-by-step explanation:

Hi!

An exponent is the same thing as just multiplying the expression by itself the number of times the exponent says. So we need to multiply 1/3 by itself three times.

1/3 * 1/3 * 1/3 = 1/27

Answer: [tex]64.3=\frac{1}{3}(B)(7)[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3} Bh[/tex]

B is the area of the base

h is the height of the cone

[tex]V=64.3 cm^3[/tex]

[tex]h=7cm[/tex]

[tex]64.3=\frac{1}{3}(B)(7)[/tex]

[tex]192.9=(B)(7)[/tex]

[tex]B=192.9/(7)[/tex]

[tex]=27.56cm^2[/tex]

Answer:

There are 15 girls.

Step-by-step explanation:

The ratio is 4:3, meaning there are 7 parts.

4 parts= 20 (Boys)

This means 1 part is 20 divided by 4.

1 part= 5

3 parts= Amount of girls.

3 x 5 = 15.

There are 15 girls.

Answer:

15

Step-by-step explanation:

Add:

boys : girls

     4 : 3 = 7

    20: ? = ?

Divide:

20 / 4 = 5

5 × 3 = 15

20: 15

So, there are 15 girls.

Answer:

domain { -9,1,3,8)

range{ -2,1,2,8}

Step-by-step explanation:

The domain is the inputs

Domain = 3,8,-9,1

We write them in the order from smallest to largest

domain { -9,1,3,8)

The range is the outputs

Range  = -2,1,2,8

We write them in the order from smallest to largest

range{ -2,1,2,8}

Answer:

B.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.

From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.

Now we check for these two ratios in each choice.

A.

1 is twice 1/2. Check

sqrt(3)/2 is sqrt(3) times 2. Check

B.

10 is twice 5, not twice 5/2. This does not check.

C.

2sqrt(2) is twice sqrt(2). Check

sqrt(6) is 2sqrt(2) time sqrt(3). Check

D.

6 is twice 3. Check

3sqrt(3) is sqrt(3) times 3. Check

Answer: B.

Answer:

B

Step-by-step explanation:

Angle ratio = 30 : 60 : 90

Side ratio = x : x√3 : 2x

[tex]A) x = \frac{1}{2}\\\\ \ x\sqrt{3 } = \frac{1}{2}*\sqrt{3}=\frac{\sqrt{3}}{2} \\\\2x = 2*\frac{1}{2}=1[/tex]

True

[tex]C) x = \sqrt{2} \\\\x\sqrt{3}=\sqrt{2} *\sqrt{3} =\sqrt{2*3}=\sqrt{6}\\\\2x=2\sqrt{2} \\[/tex]

True

[tex]D) \ x = 3\\\\x\sqrt{3}=3\sqrt{3}\\\\2x = 2*3 = 6[/tex]

True

Answer:

23/45

Step-by-step explanation:

8668/25 + 4141/9 - 5533/25

= 26348/45

= 585(23/45)

=23/45

Answer:

Option A

Step-by-step explanation:

first calculate side b

which is 35.8

Using 2 lengths, calculate Angle G

Answer:

Step-by-step explanation:

Base of triangle = b = 8 cm

Height of triangle = h = 6 cm

Length of rectangle = l = 6 cm

Sides of the triangle :  S1 = 6 cm ;  S2 = 8 cm and S3 = 10 cm

Surface area of triangular prism= bh + l *(s1+ S2 + S3)

                                                    = 8 * 6 + 6*(6+8+10)

                                                    = 48 + 6*24

                                                     = 48 + 144

                                                     = 192 square cm

P:-

[tex]\\ \sf\longmapsto (x+y)^2-4x^2y^2[/tex]

[tex]\\ \sf\longmapsto x^2+2xy+y^2-4x^2y^2[/tex]

[tex]\\ \sf\longmapsto x^2+y^2-4x^2y^2+2xy[/tex]

Q:-

[tex]\\ \sf\longmapsto x^2-2(x+y)-y^2[/tex]

[tex]\\ \sf\longmapsto x^2-2x-2y-y^2[/tex]

[tex]\\ \sf\longmapsto x^2-y^2-2x-2y[/tex]

S:-

[tex]\\ \sf\longmapsto x^2-4x-21+10y-y^2[/tex]

[tex]\\ \sf\longmapsto x^2-y^2-4x+10y-21[/tex]

T:-

[tex]\\ \sf\longmapsto a^2-10a+24+6b-9b^2[/tex]

[tex]\\ \sf\longmapsto a^2-9b^2-10a+6b+24[/tex]

Answer:

in the pic

Step-by-step explanation:

answer A

.....

Answer:

( -1, 1 )

Step-by-step explanation:

For f ( x ) = tan x ;   Range = R (real no.)

Range in interval = ( -1, 1 )

Answer:

Step-by-step explanation:

The graph is below(picture)

● tan Pi/4 = 1

● tan -Pi/4 = -1

So the range is [-1;1]

Answer:

x+y =  nx+2

⇔x-nx = 2-y

⇔x(1-n) = 2-y

⇔x = (2-y)/(1-n)

Answer:

Hello,

Step-by-step explanation:

x+y=nx+2

x-nx=2-y

x(1-n)=2-y

if 1-n ≠0 (or n≠1) then

[tex]x=\dfrac{2-y}{1-x}[/tex]

Answer:

[tex]ML = 76\text{ feet}[/tex]

Step-by-step explanation:

Since Line LR bisects MN at point L, by the definition of bisector:

[tex]\overline{ML} \cong \overline{LN}[/tex]

We want to determine ML if MN measures 152 feet.

MN is the sum of ML and LN. Hence;

[tex]ML + LN = MN[/tex]

Since ML = LN and MN = 152:

[tex]ML + (ML) = (152)[/tex]

Simplify:

[tex]2ML = 152[/tex]

And divide. Therefore:

[tex]ML = 76\text{ feet}[/tex]

In conclusion, ML measures 76 feet.

Answer:

Volume = 480 cm³

Step-by-step explanation:

Volume = lwh

*Split the shape into 3 rectangles.

Rectangle 1: 4 x 4 x 8 = 128

Rectangle 2: 14 x 4 x 4 = 224

Rectangle 3: 4 x 4 x 8 = 128

Total: 128 + 224 + 128 = 480 cm³

Answer:

480

Step-by-step explanation:

just took the quiz

Answer:

Step-by-step explanitions:

this is true The central limit theorem holds true only for populations that are normally distributed.

this is also true For an infinite number of samples, 95% of the sample means would fall within the interval .

As the number of sample means decreases, the means get closer to a standard normal distribution.thsis is false

Answer:

A. 5

Step-by-step explanation:

Based on the secant and tangent theorem, (4 + x)*4 = 6²

We can solve for x using the equation which describes the relationship between secant and tangents.

Thus,

[tex] (4 + x)*4 = 6^2 [/tex]

[tex] 4*4 + x*4 = 36 [/tex]

[tex] 16 + 4x = 36 [/tex]

Subtract 16 from both sides

[tex] 4x = 36 - 16 [/tex]

[tex] 4x = 20 [/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{20}{4} [/tex]

[tex] x = 5 [/tex]

I'm pretty sure the answer is 6.92 cause when you simplify it you'll get that exact answer

Answer:

D 6.92

Step-by-step explanation:

6.920 and 6.92 are equal

Answer:

She can go 120 km before she runs out of fuel

It will take 2 hours.

Step-by-step explanation:

150 km is the distance

60 km/ h is the speed

The gas tank is 20 liters

We can go 6 km per liter

Fuel costs .60 dollars per liter

We need to determine how far she can go on a tank of gas

20 liters * 6 km / liter = 120 km

She can go 120 km before she runs out of fuel

120 km  = 60 km/ h  *  x hours

Divide each side by 60

120/60 = x

2 hours

Answer:

Hopes this helps!

Step-by-step explanation:

Answer:

A. Exponential growth will always exceed linear growth.

Step-by-step explanation:

The rate of growth of a linear function is always constant, that means it remains the same for any value of x or y. For an exponential growth, the rate of change is not constant, it continues to increase as the value of x increases. Therefore since the rate of growth of an exponential growth increases as the x value increases, while that of the linear growth remain constant there would be a point in which the exponential growth will exceed linear growth.

Answer: The Answer is (-5,-3)

hope so my answer is correct

Step-by-step explanation:

Answer:

[tex]{ \underline{ \bf{ \frac{dy}{dx} = - \frac{30m}{ {(1 + {m}^{2}) }^{2} } }}}[/tex]

Step-by-step explanation:

[tex]{ \bf{m = 3x + 1}} \\ { \sf{ \frac{dm}{dx} = 3 }} \\ \\ { \bf{y = \frac{5}{1 + {m}^{2} } }} \\ \\ { \tt{ \frac{dy}{dm} = \frac{ - 10m}{ {(1 + {m}^{2} )}^{2} } }}[/tex]

Using chain rule:

[tex]{ \boxed{ \bf{ \frac{dy}{dx} = \frac{dy}{dm}. \frac{dm}{dx} }}}[/tex]

[tex]{ \sf{ \frac{dy}{dx} = - \frac{10m}{ {(1 + {m}^{2}) }^{2} } \times 3}} \\ \\ { \sf{ \frac{dy}{dx} = - \frac{30m}{ {(1 + {m}^{2}) }^{2} } }}[/tex]

[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]

Answer:

Step-by-step explanation:

Never saw a problem presented in this way in all my years of teaching calculus. But I'm thinking that we need to sub that given expression for m into the equation for y and get everything into y in terms of x in order to find the derivative. I see no other way that makes sense. Can't find the derivative of y in terms of x if there's an m in there. Making that substitution:

[tex]y=\frac{5}{1+(3x+1)^2}[/tex] which simplifies to

[tex]y=\frac{5}{1+9x^2+6x+1}[/tex] and a bit more to

[tex]y=\frac{5}{9x^2+6x+2}[/tex] and now we're ready to find the derivative. Using the quotient rule:

[tex]y'=\frac{(9x^2+6x+2)(0)-[5(18x+6)]}{(9x^2+6x+2)^2}[/tex] which simplifies to

[tex]y'=\frac{-90x-30}{(9x^2+6x+2)^2}[/tex] or, equally:

[tex]y'=-\frac{90x+30}{(9x^2+6x+2)^2}[/tex]

Answer:

90 miles

Step-by-step explanation:

0.15x + 29 = y ---- acme car agency

0.25 x + 20 = y ---- travel ease agency

0.15x + 29 = 0.25x + 20

9 = 0.1x

x = 90

Answer:

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos es de $13.90

Step-by-step explanation:

La información dada son;

El valor de la máscara = $ 1.25

El valor del paquete de jabones = $ 2.00

El valor del gel de alcohol = $ 3.00

La cantidad que le quedaba después de pagar = $ 7.65

Por lo tanto, tenemos;

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = La cantidad que le quedaba después de pagar + El valor del gel de alcohol + El valor del paquete de jabones + El valor de la mascarilla

Por lo tanto;

La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = $ 7.65 + $ 3.00 + $ 2.00 + $ 1.25 = $ 13.90.

Answer: (1, −5)

Step-by-step explanation:

Plot the given inequalities on coordinate plane.

For y < −3x + 3, plot y =−3x + 3

At x=0,  y= 3

At y =0, 0=-3x+3

⇒ x= 1

so, plot points (0,3) and (1,0) and join to get y =−3x + 3, since inequality has '<' sign, so shade( in red) below line area and line should be dotted.

For  y < x + 2, plot  y = x + 2

At x=0,  y= 2

At y =0, x=-2

so, plot points (0,2) and (-2,0) and join to get y = x + 2, since inequality has '<' sign, so shade( in orange) below line area and line should be dotted.

Now, plot all given points (1, −5) (1, 5) (5, 1) (−1, 5), we can clearly observe that (1, −5) lies in the solution set.  (in common shaded region)

Answer:

The correct answer is 1, -5

Step-by-step explanation: