MATHEMATICS MIDDLE SCHOOL

What is the slope of the line that passes through the points? (-4,4), (3,2)?

Answers

Answer 1

Answer:

Hi there!

Step-by-step explanation:

$SLOPE=(Y_2-Y_1)/(X_2-X_1)=(RISE)/(RUN)$

$(2-4)/(3-(-4))=(-2)/(7)$

Slope is -2/7

Final answer is -2/7.

Hope this helps!

Have a nice day! :)

-Charlie

Thank you! :)

Answer 2

Answer:

The formula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

We have the points (-4, 4) and (3, 2). Substitute:

$m=(2-4)/(3-(-4))=(-2)/(3+4)=-(2)/(7)$

Answer: The slope is - 2/7.

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What is the value of 2x squared plus 3x - 5 when x equals negative 2

Solve by elimination
x+2y=-7
x-5y=7

Answers

$\left \{ {{x+2y=-7} \atop {x-5y=7\ \ | multiply\ by\ -1}} \right. \n\n \left \{ {{x+2y=-7} \atop {-x+5y=-7}} \right. \n+-----\n addition\ method\n\n 7y=-14 \ \ \ | divide\ by\ 7\n\n y=-2\n\n substitute\ y=-2\ to\ first\ equation\n\nx=-7-2y=-7+4=-3\n\nx=-3$

$\left\{\begin{array}{ccc}x+2y=-7\nx-5y=7&|multiply\ both\ sides\ by\ (-1)\end{array}\right\n\underline{+\left\{\begin{array}{ccc}x+2y=-7\n-x+5y=-7\end{array}\right}\ \ \ \ |add\ both\ sides\ of the\ equations\n.\ \ \ \ \ \ \ \ 7y=-14\ \ \ \ |divide\ both\ sides\ by\ 7\n.\ \ \ \ \ \ \ \ \boxed{y=-2}\n\nput\ the\ value\ of\$

A Subway sandwich costs $5.56. The same sand which has 453 calories. a. Use unit rates to find the cost per calorie of the sandwich. Round to the nearest thousandth.

Answers

$5.56/ 453 calories= $0.01227/calorie.

Rounded to the nearest thousandth, the final answer is $0.012/calorie~

Find the value of: $27x^(3)+8 y^(3)$ if 3x+2y = 20 and xy = $(14)/(9)$

Answers

$27x^3+8y^3=(3x)^3+(2y)^3=(3x+2y)[(3x)^2-3x\cdot2y+(2y)^2]\n\n=(3x+2y)[(3x)^2+2\cdot3x\cdot2y+(2y)^2-3\cdot3x\cdot2y]\n\n=(3x+2y)[(3x+2y)^2-18xy]=(*)\n---------------------------\n3x+2y=20\n\nxy=(14)/(9)\n------------------------------\n(*)=20\cdot(20^2-19\cdot(14)/(9))=20\cdot(400-18\cdot(14)/(9))=20\cdot(400-2\cdot14)\n\n=20\cdot(400-28)=20\cdot372=7440$

$a^3+b^3=(a+b)(a^2-ab+b^2)\n\n(a+b)^2=a^2+2ab+b^2$

These are questions 8-10 that I need to find the answer to

Answers

you don't have a picture we can help with

For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)?A. A = 1, B = 0, C = 6
B. A = 1, B = 0, C = 8
C. A = 0, B = 1, C = 6
D. A = 0, B = 1, C = 8

Answers

Answer:

Step-by-step explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, 6) with x- coordinate 8, thus

x = 8 is the equation of the vertical line

In comparison to

Ax + By = C, then

A = 1, B = 0, C = 8, that is

x + 0 = 8

x = 8 being the required equation

It’s just b if you want a quick answer

Sam has 128 marbles how many hundreds are in this number

Answers

1
Written out, there are one-hundred and twenty-eight marbles. When written out, you can see that there is only 1 hundred in this number. Therefore the answer is 1

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