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slega [8]
3 years ago
8

91. If there is no real number solution to the quadratic equation, x^2+2x+C=0, what is a possible value of c?

Mathematics
1 answer:
malfutka [58]3 years ago
6 0

For no real solution, you must have b^2 - 4ac of the quadratic formula be less than 0.

a = 1; b = 2; c = C

b^2 - 4ac < 0

2^2 - 4(1)(C) < 0

4 - 4C < 0

-4C < -4

C > 1

The only choice greater than 1 is 3.

Answer: the 4th choice, 3

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Colin buys a box of pasta that contains 823 cups of pasta. He uses 212 cups to make dinner. How much pasta is left?
inessss [21]

Given that,

Colin buys a box of pasta that contains 823 cups of pasta.

He uses 212 cups to make dinner.

To find,

How much pasta is left?

Solution,

Left pasta = Total cups of pasta - used cups of pasta

= 823 - 212

= 611

Hence, 611 cups of pasta is left.

4 0
3 years ago
Solve the following multiplication problem.<br><br> 11 cu. yd. 17 cu. in. × 135
Gekata [30.6K]

Answer:

69,286,455 cu inches

Step-by-step explanation:

<u>Step 1: Convert yards to inches</u>

1 cu yard = 46656 cu inches

11 cu yard = y cu inches

<em>Cross multiply</em>

y = 11 x 46656

y = 513216 cu inches

<u>Step 2: Find total inches</u>

513216 + 17 = 513233 cu inches

<u>Step 3: Multiply total inches by 135</u>

513233 x 135 = 69,286,455 cu inches

!!

8 0
3 years ago
the diagram below shows the angles formed by some intersecting lines. give that m&lt;8=34, m&lt;9=40, and mm&lt;3=62, find the m
MrMuchimi

Answer:

m<4 = 44°

Step-by-step explanation:

m<8 = 34°

m<9 = 40°

m<3 = 62°

m<2 = 34° + 40° (exterior angle theorem of a triangle)

m<2 = 74°

m<3 + m<4 + m<2 = 180° (sum of ∆)

62° + m<4 + 74° = 180° (substitution)

m<4 + 136° = 180°

m<4 = 180 - 136 (substitution property of equality)

m<4 = 44°

5 0
3 years ago
Cole has 8 pieces of string that are 5 yards each. He uses 4 pieces that are each 5 feet long. How many feet of string does Cole
enyata [817]
100 feet left. A yard is 3 feet. Theres 5 yards in 8 pieces. 5*3=15 and 15*8=120. He uses 4 pieces that are 5 feet. 5*4=20. He uses 20 feet. 120-20= 100.
4 0
4 years ago
A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
3 years ago
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