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Degger [83]
2 years ago
10

How many terms of the sequence -9, -6, -3, ... must be taken so that the sum is 66?

Mathematics
2 answers:
allochka39001 [22]2 years ago
8 0

Answer:

11th term

Step-by-step explanation:

viktelen [127]2 years ago
5 0
There needs to be 26. the 26th term will be 66
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Find the distance between the points given.<br><br> (2, 2) and (5, 5)
mario62 [17]
Distance between two points, d, is given by
d= \sqrt{ ( x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }&#10;
where: (x1, y1) = (2, 2) and (x2, y2) = (5, 5)
d= &#10;\sqrt{ ( 5 - 2) ^{2} + (5 - 2) ^{2} } \\ d= \sqrt{ (3)^{2} + 3^{2} }  &#10;\\ d= \sqrt{9+9}  \\ d= \sqrt{18}  \\ d=3\sqrt{2} \ units


7 0
3 years ago
3/4 + (1/3 ÷ 1/6) - (-1/2) =?​
stepladder [879]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn fractions into decimals:

  • \frac{3}{4} =0.75  
  • -\frac{1}{2} =-0.5
  • (We will do something different for \frac{1}{3} and \frac{1}{6}.)

✦ Divide:

  • \frac{1}{3} ÷ \frac{1}{6}=2
  • (Since the denominators are multiplies of each other we can divide them without having to change them into decimals.)

✦ Simplified Equation:

  • 0.75+2-(-0.5)

✦ Add:

  • 0.75+2=2.75

✦ Subtract:

  • 2.75-(-0.5)=3.25
  • (Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)

✦ So your answer would be:

  • \frac{13}{4} (Exact Form)
  • 3~ \frac{1}{4} (Mixed Number Form)
  • 3.25 (Decimal Form)

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

8 0
3 years ago
A local restaurant purchased 45 pounds of flour at a total cost of $38.25 determine the unit cost per pound
xxTIMURxx [149]
$0.85
38.25/45= .85
TO CHECK
.85 times 45 equals 38.25
7 0
3 years ago
Read 2 more answers
The equation 6x - 5y = 14 is written in standard form. Which point lies on
dimaraw [331]
Answer= H (-1, -4)

Explanation= 6(-1) - 5(-4) = 14
(-6) + (20) = 14
14=14 * it works !
GOODLUCK!
4 0
2 years ago
In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
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