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Akimi4 [234]
3 years ago
14

The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?

Mathematics
2 answers:
grin007 [14]3 years ago
4 0

Answer:

  • B. The slope of the graph of k is 2.

Step-by-step explanation:

<h3>Find the equation of the line.</h3>

<u>The slope is:</u>

  • m = (8 - 0)/(1 + 3) = 2

<u>The y-intercept is:</u>

  • 0 = -3*2 + b
  • b = 6

<u>The line is:</u>

  • y = 2x + 6
<h3>Now lets look at the answer options</h3>

A. <u>The x-Intercept of the graph of k is 8.</u>

  • The x- intercept is -3, False

B. <u>The slope of the graph of k is 2.</u>

  • m = 2, True

C. <u>The graph of k passes through (-1, -8).</u>

  • -8 = 2(-1) + 6
  • -8 = 4, False

D. <u>The zero of k is 3.</u>

  • x = 0 ⇒ y = 0+ 6 = 6,  False
lisabon 2012 [21]3 years ago
3 0

Option B

Let's verify

Slope of graph:-

\\ \sf\longmapsto m=\dfrac{8-0}{1+3}

\\ \sf\longmapsto m=\dfrac{8}{4}

\\ \sf\longmapsto m=2

Hence k=2(Proved)

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Answer:

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7 0
2 years ago
Divide £50 in the ratio of 1:4
NikAS [45]
Answer=10:40


Explanation:

Don’t know how to type the symbol in font of the 50 so I will substitute
£50=$50

So 1:4
Add it up
1+4=5

So 5 total units
$50=5
Divided by 5
$10=1 units

So 1:4=10:10 times 4=10:40
6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP The table shows the amount of different colored paints in a bin in art class.Compare th
weqwewe [10]

Answer:

47.362 < 47.394

Hope this helps!

5 0
3 years ago
Read 2 more answers
URGET PLEASE HELP QUICKLY
alexdok [17]

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}

The given table:

x  f( x )

0   0

2   -1

4    -2

7   -3.5

Then,

k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5

Hence, the constant of variation k for the direct variation is -0.5.

4 0
3 years ago
The figure shows square KLMN. Which of the following conditions satisfy the criteria for squares?
BartSMP [9]

Answer:

First option: SquareKLMN with diagonals LN and KM.

Fifth option: Segment LMis parallel to segment KN.

Step-by-step explanation:

We know that a square is quadriteral whose sides are equal.

By definition, a square has the following properties:

1) Its four sides are congruent.

2) The diagonals are congruent.

3) The angles formed by the intersection of the diagonals measure 90 degrees.

4) The opposite sides are parallel.

5) Each internal angle measures 90 degrees.

Notice in the figure that:

  • The diagonals of the square  KLMN are: LN and KM.

  • LM and KN are opposite sides, therefore, they are parallel.
7 0
3 years ago
Read 2 more answers
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