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3 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation y=9x-2?

Mathematics

2 answers:

bazaltina [42]3 years ago

7 0

Answer: (c) The slope is 9, and the y-intercept is -2.

Explanation:

The general slope intercept form of a linear function is as follows:

y = mx + b

where m is the slope and b is the y-intercept. The value m determines steepness and orientation of the line, and value b the vertical shift of the line.

By comparison to the general form we can identify:

the slope (m) is 9

the y-intercept (b) is -2.

Choice (c) reflects correctly this situation.

Lilit [14]3 years ago

3 0

The answer is b because the slope is 2 and the y intercept is 9

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Please help me solve 5 and 6 for my homework

defon

Answer:

(5) The perpendicular height of the triangle is 8.48 mm.

(6) The 1184.86 cm far up the wall the ladder reach.

Step-by-step explanation:

Part (5):

When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.

The figures is shown below.

In ΔABC,

CB = 6 mm

So,

CD = BD = 3 mm

Now calculating the perpendicular height of the triangle.

Using Pythagoras theorem in ΔADC:

$(AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm$

Thus, the perpendicular height of the triangle is 8.48 mm.

Part (6):

The figure is shown below.

Converting meter to centimeter:

1 m = 100 cm

So,

12 m = 1200 cm

Using Pythagoras theorem in ΔXYZ:

$(XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm$

Thus, 1184.86 cm far up the wall the ladder reach.

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2 years ago

A stockholder sold her shares and made a profit of $1,327. If that is a profit of 22%, how much were the shares worth when she o

postnew [5]

Answer:

1087

Step-by-step explanation:

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3 years ago

I need help on these two.

Naily [24]

The answer to the first question is 30.

8 0

3 years ago

Which inequality is shown in this graph

Katena32 [7]

ANSWER

$y \leqslant - 2x - 2$

EXPLANATION

The boundary line passes through (-2,2) and (0,-2).

The slope of this line is

$m = \frac{ - 2 - 2}{0 - - 2}$

$m = \frac{ - 4}{2} = - 2$

The y-intercept is , c=-2.

The slope-intercept form of this line is given by;

$y = mx + c$

We substitute values to obtain;

$y = - 2x - 2$

Since the lower half-plane is shaded the required inequality is

$y \leqslant - 2x - 2$

7 0

3 years ago

What Numbers Go Into The Venn Diagram

antiseptic1488 [7]

Answer:

(a)The total number of outcomes where the sum is 9 or

greater than 9 is 10

(b)Total number of outcomes where the sum is odd = 18

(c)Total number of outcomes where the sum greater or equal to 9 and is

also odd = 6

Step-by-step explanation:

Here, Sample Space = { Sum of the two digits when two dices are thrown together}

or, S = {2,3,4,5,6,7,8,9,10,11,12}

(a) The number of ordered pairs where sum is 9 or greater than 9

= { sum is 9 , Sum is 10 , Sum is 11, Sum is 12}

= {(6,3)(3,6),(4,5)(5,4) , (5,5), (6,4),(4,6) , (6,5)(5,6), (6,6)}

Hence the total number of outcomes where the sum is 9 or

greater than 9 is 10

(b) The number of ordered pairs where sum is odd.

= { Sum is 3 , Sum is 5, Sum is 7, Sum is 9, Sum is 11}

= {(1,2)(2,1), (4,1)(1,4),(2,3)(3,2) , (6,1), (1,6),(5,2),(2,5),(4,3)(3,4) ,

(6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 18

Hence total number of outcomes where the sum is odd = 18

Here, the possible outcomes are = { Sum is 9 , Sum is 11}

={ (6,3)(3,6), (4,5)(5,4), (6,5),(5,6)} = 6

Hence total number of outcomes where the sum greater or equal to 9 and is also odd = 6

6 0

3 years ago