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fgiga [73]
3 years ago
11

Is(5, 6)a solution to the inequality y < 2x + 4 ?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

Answer:

yes

Step-by-step explanation:

y < 2x +4

6 < 2·5 +4

6 < 14

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What is the length of a diagonal of a square with a side of 8
zhannawk [14.2K]

diagonal is sqrt of (s^2 x 2)


8^2 = 64

64*2 = 128

sqrt(128) = 11.3137

 round answer as needed

3 0
3 years ago
A triangular prism is shown below. the base of the prism is a right triangle.
Nimfa-mama [501]
The product is 60.

We start out with the information we have.  This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30.  Using the Pythagorean theorem we have

x²+24²=30²
x²+576=900

Subtract 576 from both sides:
x²+576-576 = 900-576
x²=324

Take the square root of each side:
√x²=√324
x=18

We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:

720=(1/2*18*24)y
720=216y

Divide both sides by 216:
720/216 = 216y/216
3 1/3 = y

This means the product of x and y would be:
18(3 1/3)
18(10/3)
180/3
60
6 0
3 years ago
What is the answer, please help!
algol [13]
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5 0
3 years ago
Y=-3x+2<br> y=4x-5<br> FInd the y slope. FInd the x slope.
mars1129 [50]

Both these expression are written in slope-intercept form. y = mx + b

m = slope

b = y-intercept

We can find the slope of each expression by finding what m is in each equation.

y = -3x + 2 -> m = -3

y = 4x - 5 -> m = 4

Remember that m = slope

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Best Regards,

Wolfyy :)

5 0
3 years ago
Julia went to the grocery store and purchased cans of soup and frozen dinners. Each
Troyanec [42]

Answer:

2f =c

350c + 500f = 4800

Step-by-step explanation:

Twice as many cans of soup as frozen dinners

All food combined contain 4800 (mg of sodium)

2f =c

350c + 500f = 4800

These are the systems of equations.

8 0
2 years ago
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