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2 years ago

9

Write an equation that represents the line.

1 answer:

emmasim [6.3K]2 years ago

7 0

Answer:

y = -2x - 3

Step-by-step explanation:

The y-intercept is b = -3.

We read the slope off the graph.

m = -2/1 = -2

y = mx + b

y = -2x - 3

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The time is 2:46 PM. What is the measure of the angle that the minute hand swept through since 2:00 PM?

Sonbull [250]

The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:

$\frac{46\ minutes}{60\ minutes} = \frac{x\ degrees}{360\ degrees}$

You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:

$\frac{46\ minutes}{60\ minutes} = \frac{x\ degrees}{360\ degrees}\\\\46*360=x*60\\16560=60x\\276=x$

Therefore, the minute hand has swept through an angle with a measure of 276 degrees.

4 0

4 years ago

The rule (x, 3/4y) is applied to a polygon. Is the image similar to the original polygon? Explain.

Mnenie [13.5K]

Yes. The new polygon is 3/4 the size of the old one.

5 0

4 years ago

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Oksanka [162]

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

$x - y = 25$

$2x + 3y = 180$

(2)

$2x - 3y = -5$

$11x + y = 550$

(3)

$x - y = 19$

$-12x + y = 168$

Solutions

$(-17,-36)$

$(47, 33)$

$(51, 26)$

Required

Match equations with solutions

(1) $x - y = 25$ and $2x + 3y = 180$

Make x the subject in: $x - y = 25$

$x = 25 + y$

Substitute $x = 25 + y$ in $2x + 3y = 180$

$2(25 + y) + 3y = 180$

$50 + 2y + 3y = 180$

$50 + 5y = 180$

Collect like terms

$5y = 180-50$

$5y = 130$

Solve for y

$y =26$

Recall that: $x = 25 + y$

$x = 25 + 26$

$x = 51$

So:

$(x,y) = (51,26)$

(2) $2x - 3y = -5$ and $11x + y = 550$

Make y the subject in $11x + y = 550$

$y = 550 - 11x$

Substitute $y = 550 - 11x$ in $2x - 3y = -5$

$2x - 3(550 - 11x) = -5$

$2x - 1650 + 33x = -5$

Collect like terms

$2x + 33x = -5+1650$

$35x = 1645$

Solve for x

$x = 47$

Solve for y in $y = 550 - 11x$

$y = 550 - 11 * 47$

$y = 550 - 517$

$y = 33$

So:

$(x,y) = (47,33)$

(3)

$x - y = 19$ and $-12x + y = 168$

Make y the subject in $-12x + y = 168$

$y = 168 + 12x$

Substitute $y = 168 + 12x$ in $x - y = 19$

$x - 168 - 12x = 19$

Collect like terms

$x -12x = 168 + 19$

$-11x = 187$

Solve for x

$x = -17$

Solve for y in $y = 168 + 12x$

$y =168-12 *17$

$y =-36$

So:

$(x,y) = (-17,-36)$

4 0

3 years ago

A physician orders penicillin 525,000 units q4h for a child who weighs 55 lbs. The recommended dosage is 100,000 250,000 units/k

Nitella [24]

Answer:

a. 24.9476 Kg.

b. The safe daily dosage range is between 2494760 units /day and 6236900 units/day

c. Yes

Step-by-step explanation:

a. Lets see the convertion from lb to Kg:

1 Lb= 0.453592
55 lb = 0.453592*55= 24.9476 kg

b. Minimum daily dosage is 100,000 units /kg

For this kid: 100,000 * 24.9476= 2,494,760 units/ day

in 6 dosis; 2494760/6= 415,793.33 units every 4 hours

Maximun daily dosage is 250,000 units /kg

For this kid: 250,000 * 24.9476= 6,236,900 units/ day

in 6 dosis; 6,236,900/6= 1,039,483.33 units every 4 hours

c: Yes, because 525.000 units every 4 hours is between the minimun and maximun dosaje for this kid

4 0

3 years ago

The sum of the heights of a giraffe and a baby giraffe is 15m. If the baby giraffe has a height which is 2/3 that of the giraffe

EleoNora [17]

mama giraffe: x

baby giraffe: $\frac{2}{3} x$

$x + \frac{2}{3}x$ = 15

$(3)x + (3)\frac{2}{3}x$ = (3)15

3x + 2x = 45

5x = 45

x = 9

baby giraffe: $\frac{2}{3} x$ = $\frac{2}{3}(9)$ = 2(3) = 6

Answer: 6 m

8 0

3 years ago

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