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3 years ago

What is the solution? A. (6, 1) B. (2, -1) C. (0, -2) D. (-2, 7)

Mathematics

1 answer:

NikAS [45]3 years ago

8 0

Answer:

solution of what ? you mean the crossing point of both lines ?

that is (6,1) as the graph shows

Step-by-step explanation:

you can see x=6 and y=1.

that is then the point (6,1).

we could also define the equations of both lines and then calculate the value of x, where both equations deliver the same (y) value.

but for that we would need to get the (x,y) coordinates of the 4 marked points in the same way we got them for the crossing point already. waste of time and effort.

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Consider the rectangle with width 33 in and length 39 in, write a ratio of the width to length.

Ivahew [28]

Answer:

11:13.

Step-by-step explanation:

33 to 39

Divide each number by the GCF which is 3, so it's

11:13.

8 0

3 years ago

The expression 1 2 b h 2 1 bhstart fraction, 1, divided by, 2, end fraction, b, h gives the area of a triangle where b bb is t

adoni [48]

Answer:

14cm²

Step-by-step explanation:

Area of a triangle (A) is 1/2bh where;

b is the base of the triangle

h is the height of the triangle

Given the base = 7cm and height = 4cm,

Substituting the given values into the formula of area of a triangle we have;

A = 1/2×7×4

A = 14cm²

Therefore the area of the triangle is 14cm²

4 0

3 years ago

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

mihalych1998 [28]

Answer:

Step-by-step explanation:

The general formula of the linear equation is:

y = mx + c

where m is the slope and c is the y-intercept

1- getting the slope:

We are given the two points:

(6,10) representing (x1 , y1)

(12,7) representing (x2 , y2)

The slope of the line will be calculated as follows:

m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5

The equation of the line now becomes:

y = -0.5x + c

2- getting the value of the y-intercept:

To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:

y = -0.5x + c

10 = -0.5(6) + c

10 = -3 + c

c = 13

Based on the above, the equation of the line would be:

y = -0.5x + 13

Hope this helps :)

7 0

3 years ago

Read 2 more answers

Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and

lorasvet [3.4K]

- Key -

Black tiles = x
Purple tiles = x+50
Yellow tiles = 5x

-

Total = x + x+50 + 5x = 400
⇒ 7x + 50 = 400
⇒ 7x = 400-50 = 350
⇒ x = 350/7
⇒ x = 50

Black tiles = 50
Purple tiles = 50+50 = 100
Yellow tiles = 5 x 50 = 250

4 0

4 years ago

Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer

makkiz [27]

Answer:

The remainder is 64

Step-by-step explanation:

Consider the function $f(x)=x^3+3x^2-51x+91$

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9 1 3 -51 91

0 -9 54 -27

--------------------------------------------------

1 -6 3 64

The remainder is 64

5 0

3 years ago