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2 years ago

10

Solve using the quadratic formula.-v^2 + 9v - 5 = 0

1 answer:

timama [110]2 years ago

8 0

Answer:

v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2

Step-by-step explanation:

Solve for v over the real numbers:

-v^2 + 9 v - 5 = 0

Multiply both sides by -1:

v^2 - 9 v + 5 = 0

Subtract 5 from both sides:

v^2 - 9 v = -5

Add 81/4 to both sides:

v^2 - 9 v + 81/4 = 61/4

Write the left hand side as a square:

(v - 9/2)^2 = 61/4

Take the square root of both sides:

v - 9/2 = sqrt(61)/2 or v - 9/2 = -sqrt(61)/2

Add 9/2 to both sides:

v = 9/2 + sqrt(61)/2 or v - 9/2 = -sqrt(61)/2

Add 9/2 to both sides:

Answer: v = 9/2 + sqrt(61)/2 or v = 9/2 - sqrt(61)/2

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Weather forecasters use a barometer to measure

Zepler [3.9K]

Answer: air pressure

Whenever you hear things like "high pressure" or "low pressure" on weather reports, they measured the pressure using a barometer. Knowing the air pressure helps determine if there is a higher chance of rain or storms for instance.

Typically but not always, high pressure correlates to sunny days and dry weather. Low pressure often brings about rain. This is of course a very oversimplified viewpoint.

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11 months ago

Please show work for both problems

sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

$5x+15=6x-10$

Subtracting 5x from both sides, we have

$15=x-10$

Adding 10 to both sides , we have,

$25=x$

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

$2x+14+x+7=90$

Simplifying, we get,

$3x+21=90$

$3x=69$

$x=23$

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

$2x+14=2(23)+14=46+14=60$

Thus, the measure of ∠CBD is 60°

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2 years ago

Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirt

IgorLugansk [536]

Answer:

816 T-shirts

Step-by-step explanation:

16 boxes * 17 shirts = 272 shirts total in 16 boxes

272 shirts * 3 orders = 816 shirts

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2 years ago

Which expression represents the volume, in cubic

muminat

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

$V_1=length\times breadth\times height$

$V_1=(8)(6)(4)$

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

$V_2=\dfrac{1}{3}\times length\times breadth\times height$

$V_2=(\dfrac{1}{3})(8)(6)(6)$

The volume of composite figure is

$V=V_1+V_2$

$V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)$

It can be written as

$V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)$

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2 years ago

Which mathematical term describes both 19x and 4x in the expression 19x+4x?

Phoenix [80]

Answer:

The answers is coefficient

Step-by-step explanation:

they both have a variable attached which makes them both coefficients

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2 years ago