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3 years ago

Which is an equation of the line that passes through the points (-1,9) and (4, 24)?

Mathematics

1 answer:

choli [55]3 years ago

4 0

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12

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Dr.Lamb is mixing a solution for his next patient. He has a cylindrical test tube which is 4 inches across on the inside. The de

SSSSS [86.1K]

Answer: There are 34.35 liters left in the test tube.

Step-by-step explanation:

Since we have given that

Depth of the tube = 9 inches

Circumference of base=4 inches

As we know the formula of circumference ,

$Circumference=2\pi r\\\\4=2\times \frac{22}{7}\times r\\\\4\times{7}{22\times 2}=r\\\\\frac{7}{11}=r$

Now, we need to find the volume of tube is given by

$\text{ Volume of test tube }=\pi r^2h\\\\\text{ Volume of test tube }=\frac{22}{7}\times \frac{7}{11}\times \frac{7}{11}\times 9\\\\\text{ Volume of test tube }=\frac{126}{11}=11.45\ inches^3$

Since we have also given that,

Of 1 cubic inch of space holds 3 liters of water,

So,

$1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}$

Hence, there are 34.35 liters left in the test tube.

6 0

3 years ago

31)The scale on a map shows that 5 centimeters = 2 kilometers.

Sonbull [250]

Answer:

13.5 cm

Step-by-step explanation:

if 5 cm is 2 km, then 10 cm is 4 km. To find one km you do half of 5 cm. which is 3.5 cm. So 10+3.5=13.5

8 0

3 years ago

Write the following equation in slope intercept form. y – 3 = -2 (x -5)

Phantasy [73]

This equation is currently in Point Slope Form. You can easily convert this form to Y Slope Intercept by following these steps.

Add 3 to both sides.

y = -2(x-2)

Simplify.

y = -2x + 4

5 0

3 years ago

Read 2 more answers

The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres

Mashcka [7]

Answer:

Equation to represent the situation = $800=Y(1.05)^X$