Write a linear equation for the information given below.
15. The slope is 8 and the line passes through point (4, -2).
16. The line passes through points (-4,6) and (4, 14).

Answer:

4340.

Step-by-step explanation:

14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.

Sum of n terms = (n/2)[2a1 + d(n - 1)]

Here n = 31, d = 9 and a1 = 5.

So, substituting, we have:

Sum of 31 terms = (31/2)[2*5 + 9(31-1)]

= 15.5 * 280

= 4340.

Answer:

the supplement of angle 70∘ is 110∘. Two angles are called supplementary angles if their sum is 180 degrees.

Answer:

Ten thousands

Step-by-step explanation:

Replace all other digits with zero

This gives 40,000

Ten thousand (10,000) has the same amount of digits

Answer:

the jam requires three qts of raspberry so that would be 12 cups and there are 2 cups to a pint so 6 pints I think

Answer:

30 girls

Step-by-step explanation:

         boys to girls

               4 to 6

since there are 50 players we have

    4*5= 20 to 6*5 =30

because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.

Answer:

5x+8y

Step-by-step explanation:

We can first open the brackets by using the distrubitive propety.

2(x+4y)+3x

2x+8y+3x

Now we can combine like terms.

5x+8y.

I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.

Hoped this helped,

JoeLouis2

Answer:

90 students.

Step-by-step explanation:

279-9=270, and 270 divided by 9 is 90.

Answer:

[tex]h=4m[/tex]

Step-by-step explanation:

Speed [tex]V=24m/s[/tex]

Time [tex]t=6.0s[/tex]

Generally the equation for Height is mathematically given by

 [tex]h=\frac{V}{t}[/tex]

 [tex]h=\frac{24}{6}[/tex]

 [tex]h=4m[/tex]

Answer:

safety and quicker to drain for safty

Answer:

1,645 poles

Step-by-step explanation:

Here, we want to calculate the total number of poles

We can have an arithmetic progression here

Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1

Firstly, we calculate the number of stacks which can be obtained using the nth term formula;

Tn = a + (n-1)d

58 = 12 + (n-1)1

58 = 12 + n - 1

58 = n + 11

n = 58-11

n = 47

So we have the stack high up to 47 units

So, using the sum of terms in an arithmetic sequence formula, we have;

Sn = n/2 ( a + L)

where a is the first term 12 and L is the last term 58

Thus, we have

Sn = 47/2( 12 + 58)

Sn = 47/2 * 70

Sn = 1,645

Answer: -6y-12 and 5.5h+14

Step-by-step explanation:

-2(3y+6) = -6y-12

5.1h-2.6h+3(h+4)= 2.5h + 3h+14 = 5.5h+14

Answer:

y = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

4 = 2² and 8 = 2³ , then

[tex]4^{y}[/tex] = 8, can be written

[tex](2^2)^{y}[/tex] = 2³

[tex]2^{2y}[/tex] = 2³

Since bases on both sides are equal, both 2, then equate exponents

2y = 3 ( divide both sides by 2 )

y = [tex]\frac{3}{2}[/tex]

y = 1.5

Step-by-step explanation:

[tex] {4}^{y} = 8[/tex]

Take the logarithm of both sides and you will get

[tex] \log {4}^{y} = y \log4 = \log8[/tex]

or

[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]

Answer:

the area of triangle is the product of the base and height divided by 2

Step-by-step explanation:

follow me

Answer:

Perimeter=a+b+c

Step-by-step explanation:

As perimeter is sum of all sides so,

Let sides of triangle be a, b and c

Perimeter=a+b+c

Mark me as brainliest

Thanks

Answer:

this are the equation I was taught

Step-by-step explanation:

_(x2+4x+8)=0

Answer:

no

Step-by-step explanation:

it is irrational.

Answer:

x = 9 or x = -9

Step-by-step explanation:

The parameters of the given points are;

The location of the point T = (0, 7)

The location of the point U = (x, -5)

Then distance between points T and U = 15 units

The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;

[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, for the given points, T(0, 7) and U(x, -5), we get;

[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]

Squaring both sides, gives;

[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]

∴ x² = 15² - (-12)² = 81 = 9²

x² = 9²

∴ x = ±√(9²) = ± 9

The possible values of x are x = 9 or x = -9

Answer:

Sam will finish 42 pages in 126 minutes.

Step-by-step explanation:

Number of pages read by Sam = 6

Time taken to read these pages = 18 minutes

Rate at which Sam is reading the pages of the book = [tex]\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}[/tex]

= [tex]\frac{6}{18}[/tex]

= [tex]\frac{1}{3}[/tex] pages per minute

Number of pages read in 126 minutes = Rate of reading × Time

                                                            = [tex]\frac{1}{3}\times 126[/tex]

                                                            = 42 pages

Therefore, Sam will finish 42 pages in 126 minutes.

Answer:

Here you go!

Hope this helps!

Answer:

diagonal, congruent triangles

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12 + (12)

first do for the bracket

12 + 12

24

Answer:

306 square inches.

Step-by-step explanation:

All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).

6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.

Each face of one cube = 3*3 = 9 in^2.

Therefore the surface area =  9 * 34 = 306 in^2.

Answer:

ANSWER IS B

Step-by-step explanation:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4/2

x = 2

Answer:

B. 2

Step-by-step explanation:

The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:

5(2) - 3 = 3(2) + 1

10 - 3 = 6 + 1

7 = 7

So x is 2

Answer:

almonds =345, cashews=125

Step-by-step explanation:

a=almonds, c=cashews

8a+12c=4260. Equation 1

a + c= 470  Equation 2

a=470-c. Isolate a from equation 2

8(470-c)+12c=4260 sub value of a from equation 2 into equation 1

3760-8c+12c=4260

4c=500

c=125

solve for a by substituting value of c into either equation

a+c=470

a+125=470

a=345

Answer:

54

Step-by-step explanation:

Since triangle ABC ~ DEF

Angle A = Angle D

Angle A = 54

Answer:

Step-by-step explanation:

1. Three million, two hundred ninety eight thousand, seventy six

2. 50,003,087

50,000,000+3000+87

3. 60,400,239

Answer:

3x

Step-by-step explanation:

You multiply the pervious number with 3 to get the next number

For example 2 times 3 = 6

6 times 3 = 18

18 times 3 =54

54 times 3= 162

So on and so forth