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Sindrei [870]
2 years ago
10

Write the equation of the line that passes through the points (7,9) and (9, -3). Put your answer in fully reduced point-slope fo

rm, unless it is a vertical or horizontal line.
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
6 0

Answer:

y - 9 = -6(x - 7)

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 9 / /9 - 7

-12 / 2

= -6

y - 9 = -6(x - 7)

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Round down this calculation to Ofe ucci piacer ). Order: Uniphyl (theophylline) 5 mg/kg po loading dose stat. The strength of th
Marta_Voda [28]

Answer:

1 tablet

Step-by-step explanation:

Data provided in the question:

The dose of the Uniphyl = 5 mg/kg

Strength of the Uniphyl = 400 mg per tablet

Weight of the patient = 76 kg

Now,

The recommended dose for the patient            

= Dose of the Uniphyl × weight of the patient

= 5 mg/kg × 76 kg

= 380 mg

Therefore,

The number of tablets to be administered to the patient

= \frac{\textup{Recommended dose for the patient}}{\textup{Strength of the Uniphyl}}

= \frac{\textup{380}}{\textup{400}}

= 0.95 ≈ 1 tablet

Hence,

The number of tablets to be administered to the patient is 1

7 0
3 years ago
Identifying the slope, y-intercept and x- intercept of each
Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

\frac{(0)-(3)}{(2)-(1)}

Simplify;

\frac{-3}{1}\\\\=-3

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

y = mx + b

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

y=-3x+b

Substitute in point (3, -3)

-3=-3(3)+b\\-3 = -9 + b\\6 = b

4 0
2 years ago
Which expression is equal to...
salantis [7]
The answer is the one that has a denominator of X-5 :)
3 0
2 years ago
Read 2 more answers
Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widt
Vesnalui [34]

The volume of the second prism is also ten times the volume of the first prism.

Let's assume that both prisms have:

width = 3 units

height = 4 units

Prism 1 length = 5 units

Prism 2 length = 50 units

Let's solve their respective volumes to compare...

Volume of prism 1 = length * width * height

                             = 5 * 3 * 4

                             = 60 units ^3

Volume of prism 2 = 50 * 3 * 4

                             = 600 units ^3

Prism 2/ prism 1 = 10

That means prism 2 is ten times the volume of prism 1.

6 0
2 years ago
In ΔGHI, the measure of ∠I=90°, the measure of ∠H=52°, and HI = 63 feet. Find the length of IG to the nearest tenth of a foot.
AveGali [126]

Answer:

80.6

Step-by-step explanation:

5 0
2 years ago
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