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bagirrra123 [75]
2 years ago
9

Write an equation in point-slope form for the line that has a slope of 9/8 and contains the point (9,−5). please help I am in de

sperate times right now
Mathematics
2 answers:
Elina [12.6K]2 years ago
8 0

Answer:

y+5=\frac{9}{8}(x-9)

Step-by-step explanation:

Point slope form is: y-y_1=m(x-x_1)

'm' - slope

(x1, y1) - point

We are given the slope of 9/8 and the point of (9, -5).

Replace 'm', 'x1', and 'y1' with the appropriate values.

y-y_1=m(x-x_1)\rightarrow\boxed{y+5=\frac{9}{8}(x-9)}

Andreyy892 years ago
7 0

Answer: y+5 = 9/8(x-9)

Step-by-step explanation: Point-slope form is written in y-y1 = m(x-x1) so when you put in (9,-5) in the y1 and x1 spots and substitute the slope 9/8 in for m you get the point-slope form.

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Carla packed this box with 1 centimeter cubes what is the volume of the box
shusha [124]

Answer: 60\ cm^3

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

V=lwh

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

 l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

V=(4\ cm)(3\ cm)(5\ cm)

Finally, evaluating, you get that the volume of the box is:

V=60\ cm^3

4 0
2 years ago
The following numerically ordered sequence of numbers has a mean of 17 and a median of 18.
erastovalidia [21]

Answer:

a = 9

b = 19

Step-by-step explanation:

DO B FIRST

The mean is the average of all the terms (numbers) in the sequence

To find the average you find the sum of the terms and divided the sum by the number of terms there are.

The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A

a = 17(10)-7-12-15-17-19-20-22-24-25

a = 170-161

a = 9

The median is found by taking the average of the two middle terms

Our middle terms are 17 and B

the median times 2 equals the sum of the two terms and then subtract the term you know from the sum

b = 18(2)-17

b = 36-17

b = 19

5 0
2 years ago
Read 2 more answers
Which real numbers are zeros of the function? f(x)=2x3−x2−8x+4 Select each correct answer. −2 −1 −12 0 12 1 2
Ede4ka [16]

Answer:

Step-by-step explanation:

Given is a function in x as

f(x)=2x^3-x^2-8x+4

We have to find the zeroes of the function

Since this is a cubic function this function has three zeroes.

Let us try to factorise this function by grouping two terms together.

x^2(2x-1)-4(2x-1)\\= (2x-1)(x^2-4)

=(2x-1)(x-2)(x+2)

Equate each factor to 0 to find zeroes as

-2,2,\frac{1}{2}

4 0
2 years ago
Each cone of the hourglass has a height of 15 millimeters. The total height of the sand within the top portion of the hourglass
BARSIC [14]
Calculate the volume of sand, the cone will be completely filled and the cylinder will have sand up to the 30 mm level.

Volume of sand will = the volume of the cone:
= 1/3 * pi * (6 mm)^2 * 15
= 1/3 * pi * 36 * 15 =180 pi cubic mm

the cylinder will have a volume of sand equal to:
= pi * (6 mm)^2 * 30 mm
= pi * 36 sq mm * 30 mm 
= 1080 pi cubic mm

The total sand is the sum:
= 1080 pi cubic mm +180 pi cubic mm
= 1260 pi cubic mm. <span>
</span>
5 0
2 years ago
Read 2 more answers
in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible value
tankabanditka [31]

Answer:

8 < x < 34

Step-by-step explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.

3 0
2 years ago
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