5x - 7x + 6 = -2(x - 3)?

Answer:   143.8 units²

Step-by-step explanation:

Since you know the length of two sides and the measure of the included angle, you can use the following trig formula:

[tex]Area=\dfrac{1}{2}ac \sin B[/tex]

Given: a = 14, c = 21, B = 87°

[tex]Area=\dfrac{1}{2}(14)(21) \sin 87^o\\\\.\qquad =147\sin 87^o\\\\.\qquad =143.8[/tex]

Answer:

[tex]\huge \boxed{\mathrm{146.8 \ units^2 }}[/tex]

Step-by-step explanation:

We can solve for the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2}ac \cdot sinB }[/tex]

[tex]\displaystyle A=\mathrm{\frac{1}{2} \cdot 14 \cdot 21 \cdot sin87 }[/tex]

[tex]\displaystyle A=\mathrm{147 \cdot sin87 }[/tex]

[tex]\displaystyle A=\mathrm{146.79854160...}[/tex]

The area of the triangle is 146.8 units².

Answer:

375

Step-by-step explanation:

The ratio of d to 125 is the ratio of 30 to 10,so by comparison, 30:10=3÷1

X÷125=X=375

Answer:

A. y = -4x - 10

Step-by-step explanation:

See image below. The red line (y = -4x - 10) is parallel to                                  the blue line (y = -4x + 3) and passes through (-3 , 2)

Answer:

y = -4x - 10 (Answer A)

Step-by-step explanation:

Any line parallel to the given y = -4x + 3 has the same slope:  -4.

Starting with y = mx + b, and substituting -4 for m, -3 for x and 2 for y, we get:

2 = -4(-3) + b, or b = -10, and so the desired equation is

y = -4x - 10 (Answer A)

Answer:

2

Step-by-step explanation:

The gradient of the straight line is equal to (y2-y1)/(x2-x1), where

(x1,y1) and (x2,y2) coordinates of the points A and B which belong to the line.

So y2=2 ,x2=1-2p , y1=2+4p, x1=1

k=(2-(2+4p))/((1-2p)-1)= (2-2-4p)/(1-2p-1)= (-4p)/(-2p)=2

The gradient of the straight line joining (1, 2+4p) to (1-2p, 2) is 2 and this can be determined by using the two-point slope formula.

Given :

Points  --  (1,2+4p) and (1-2p,2)

The following steps can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2):

Step 1 - According to the given data, the points on the straight line are (1, 2+4p) to (1-2p, 2).

Step 2 - The two-point slope formula can be used in order to determine the gradient of the straight line joining (1, 2+4p) to (1-2p, 2).

Step 3 - The two-point slope formula is given below:

[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 4 - Substitute the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\rm m = \dfrac{2-(2+4p)}{1-2p-1}[/tex]

Step 5 - Simplify the above expression.

[tex]\rm m = \dfrac{-4p}{-2p}[/tex]

m = 2

For more information, refer to the link given below:

https://brainly.com/question/3605446

Answer:

Step-by-step explanation:

A Chi-square test is used to test the test of independence between rows and columns, contingency tables. It is a test related to frequencies. The observed frequency is a given statistical frequency known as the actual frequency,  the expected frequency is known as the theoretical frequency is derived from the study by using the sum total of the row and total in the column divided by their corresponding sample size.

Answer:

Hey there!

Part A

3(2x-1)+4=7

6x-3+4=7

Part B

6x+1=7

Part C.

6x+1-1=7-1

6x=6

Part D.

6x/6=6/6

x=1

Let me know if this helps :)

Answer:

  3. 6x -3 +4 = 7

  4. 6x +1 = 7

  5. 6x = 6

  6. x = 1

Step-by-step explanation:

3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.

  3(2x -1) +4 = 7 . . . . . . given

  3(2x) +3(-1) +4 = 7 . . . . using the distributive property

  6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products

__

4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.

  6x +1 = 7

__

5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.

  6x +1 -1 = 7 -1

  6x = 6

__

6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.

  6x/6 = 6/6

  x = 1

______

Additional comment

You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.

Answer:

142,000

Step-by-step explanation:

I would round 300,980 to the nearest thousands place = 301,000

Subtract 301,000 and 159,000 = 142,000

Answer:

(-1,-2)

Step-by-step explanation:

Ordered pairs go in the order x,y so the 2x would be the first number that then equals the second number. The answer is (-1,-2) because when you multiply 2*-1 you get -2 and what's the y? -2. Does -2 = -2? Yes.

Answer:

Logarithm I think

Step-by-step explanation:

If u need more explanation u can ask me

Answer:

Step-by-step explanation:

The column has the shape of a cylinder hence the formula for the volume of a cylinder is

[tex]v=\pi r^2h[/tex]

Given

diameter d= 390 mm

radius r= 390/2= 195 mm to meter = 0.195 m

length or height h= 3 m

applying the data to the formula we have

[tex]v=\pi *0.195^2*3\\\\ v=\pi*0.0038*3\\\\ v=\pi*0.0114\\\\ v=0.035 m^3[/tex]

we can now use the volume in addition with the density given to solve for the mass using the expression for density

density= mass/volume

2.45= mass/0.035

mass= 2.45*0.035

mass= 0.085 mg

We know that weight

w= mass* acceleration

w= 0.085*9.81

w= 0.83 N

Answer:

d = 6 days

Step-by-step explanation:

We only have a total of 30 gallons.

We are told that we use 5 gallons per day.

So:

d - days

5d = 30

*Divide both sides by 5*

d = 6

Answer:

Hello☺️!

Step-by-step explanation:

[tex]5 x - 11 = 3x + 3[/tex]

[tex]5x - 3x = 3 + 11[/tex]

[tex]2x = 14[/tex]

[tex]x = \frac{14}{2} [/tex]

[tex]x = 7[/tex]

Answer:

-22d -102

Step-by-step explanation:

8(−5d−9)−3(−6d+10)

Distribute

-40d -72 +18d -30

Combine like terms

-40d +18d   -72 - 30

-22d -102

Answer:

−22d − 102

Step-by-step explanation:

8 (−5d − 9) −3 (−6d + 10)

expand 8 (−5d − 9)  to  −40d − 72

= −40d − 72 − 3 (−6d + 10)

expand − 3 (−6d + 10)   to   18d − 30

= −40d − 72 + 18d − 30

combine like terms

= −40d + 18d − 72 − 30

=  −22d − 102

Answer:

Step-by-step explanation:

 let us apply the interpolation formula to solve this problem

we have

[tex]\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}[/tex]

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

[tex]y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1[/tex]

Substituting our given data we have

[tex]y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44[/tex]

the demand at a price of $1.50 per cone is 44 cones

Hi there! :)

Answer:

[tex]\huge\boxed{(-1, 3)}[/tex]

Use the midpoint formula to derive the midpoint of the segment:

[tex](x_{m} ,y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

Substitute in the coordinates:

[tex](x_{m} ,y_{m}) = (\frac{-3+1 }{2} , \frac{4+2 }{2} )[/tex]

Simplify:

[tex](x_{m} ,y_{m}) = (-1 , 3 )[/tex]

The coordinates of the midpoint are:

[tex](-1, 3)[/tex]

Answer:

B. 8(3+1)

Explanation: 8x3 = 24. 8x1 = 8

Answer:

B. 8(3+1) = 32

Step-by-step explanation:

8 x 3 + 8 x 1 = 32

A. 8(3 + 8) = 88

B. 8(3+1) = 32

C. 3(8+1) = 72

D. 1(3+8) = 11

Answer:

Center is (3,4)

Radius is √55 which is approximately 7.42

Step-by-step explanation:

First, recall the equation for a circle. The equation for a circle is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

We have the equation:

[tex]x^2+y^2-6x-8y-30=0[/tex]

Thus, we want to turn this into the circle equation.

To do so, we need to complete the square.

First, put all the x-terms together and all the y-terms together. Also, add 30 to both sides:

[tex](x^2-6x)+(y^2-8y)-30=0\\(x^2-6x)+(y^2-8y)=30[/tex]

Now, complete the square for both of the variables. Recall how to complete the square. If we have:

[tex]x^2+bx[/tex]

We divide b by 2 and then square it. Then we will have a perfect square trinomial. To keep things balanced, we must also subtract what we added.

Thus, for the first term:

[tex](x^2-6x)\\=(x^2-6x+9)-9\\(x-3)^2-9[/tex]

And for the second term:

[tex](y^2-8y)\\=(y^2-8y+16)-16\\=(y-4)^2-16[/tex]

Replace the two terms:

[tex]((x-3)^2-9)+((y-4)^2-16)=30[/tex]

Simplify. Add -9 and -16:

[tex](x-3)^2+(y-4)^2-25=30[/tex]

Add 25 to both sides:

[tex](x-3)^2+(y-4)^2=55[/tex]

This is now in the form of the circle equation.

Thus, the center is (3,4).

And the radius is √55 which is approximately 7.42

Answer:

to be honest I'm not sure

Answer:

2.16 cm

Step-by-step explanation:

5 through 11 = 6 hours

total of cms  = 13

13/6 = 2.16

Answer:

560.3

hope it helps

Answer:

The answer is

Step-by-step explanation:

Let the measure of it's supplement be x

Supplementary angles sum up to 180° which means the sum of 76° and it's supplement is 180°

To find its supplement add 76° and it's supplement and equate it to 180° to find x

So we have

76 + x = 180

x = 180 - 76

We have the final answer as

Hope this helps you

Answer: [tex]x=-2/3[/tex]

Subtract 24x from both sides

[tex]6x-6-24x=24x+6-24x\\-18x-6=6[/tex]

Add 6 to both sides

[tex]-18x-6+6=6+6\\-18x=12[/tex]

Divide both sides by -18

[tex]-18x/-18=12/-18\\x=-2/3[/tex]

Answer: x=-2/3.

Step-by-step explanation:6x-6 = 24х+6                                                                          

6x-6-24x=6                                                                                                                                 -18x-6+6=6+6                                                                                                                               -18x/-18=12/-18                                                                                                                                x=-2/3                                                                                                                                                                                                                                                                            

Answer: 13/48

let me know if I'm wrong

I didn't have enough time to explain it though

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

0.3% of 1600 will result to 4.8

Answer:

five years ago

father:son = 9:4

= 45: 20

now

father: son = 45+5 : 20+5

= 50:25

ok

the son is now 25 years old

Step-by-step explanation:

P = 25/500

P = 1/20, or 5%

Answer:

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

length = 99 m

width = 87 m

Substitute the values into the above formula and solve for the area

That's

Area = 99 × 87

We have the final answer as

Area = 8613

Hope this helps you

Answer:

The answer is below

Step-by-step explanation:

Different countries have different metric system of measurement, but the metric system of measurement accepted all over the world is the international system of unit (SI unit)

1 quintal =  220.462 lbs and 1 bushel of corn = 56 lbs.

151 q/ha = (151 × 220.462) lbs/ha = 33289.762 lbs/ha

But 1 hectare = 2.471 acre, hence:

33289.762 lbs/ha = [tex]\frac{33289.762\ lbs}{1\ ha*\frac{2.471\ acre}{1 \ ha} } =13472.182\ lbs/acre[/tex]

Since 1 bushel of corn = 56 lbs, hence:

[tex]13472.182\ lbs/acre=\frac{13472.182\ lbs*\frac{1\ bushels}{56\ lbs} }{acre}=240.6\ bushels/acre[/tex] = 240.6 bu/ac

For a Margin of Error: +/- 1 bu/ac, the bushels per acre = (239.6 bu/ac, 241.6 bu/ac)

Answer:

36

Step-by-step explanation:

you would just to 39^2-15^2 which is 1296 and the square root of that is 36 so 36 would be the answer

[tex]7\frac{12}{25}[/tex]

7.48 = 748⁽⁴/100 = 187/25 = 7  12/25