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2 years ago

When is the product of two nonzero integers less than or equal to both of the two factors

1 answer:

5 0

1) if they're both 1:

1 x 1 = 1: they preoduct is equal to both factors!

2) if one of them is negative (but not 2!)

for example: -2 and 6: the product is -12, and it's less than both -2 and 6!!!

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Please help me please!

Mazyrski [523]

Answer:

1. a

2. b

3. c

4. d

Step-by-step explanation:

3 0

2 years ago

Super hero academy's ratio of boys to girls is 5:3. If 7th grade has 150,

UkoKoshka [18]

Answer:

94 boys and 56 girls.

Step-by-step explanation:

150/8 = 18.75 = x

b=x*5 = 94

g=x*3 = 56

b+g=150

8 0

2 years ago

I have to turn this in tonight please help :(

Leni [432]

Answer:

angle a is 116 degrees

Step-by-step explanation:

ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:

(14x + 4) + (5x - 1) + (2x + 9) = 180

Then, we solve for x and x equals 8

After this we plug 8 back into the angle so it would be written like this:

14(8) + 4

This equals 116 degrees.

3 0

1 year ago

Read 2 more answers

Read this description of the life cycle of a mushroom. 1. A mushroom begins to grow underground as a single-celled "spore.” 2. T

Dahasolnce [82]

The correct answer is C. The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground.

Explanation:

Two key features of living organisms are energy processing and response to stimuli. These two features imply organisms require nutrients, which can be taken from the environment or created through a process such as photosynthesis and they sense their surroundings and respond to it.

Moreover, these two features are exemplified by mushroom (fungi) in the sentence "The hyphae absorb nutrition and detect when conditions are right to sprout a mushroom above ground" because the first section shows the developing mushroom takes nutrients from the soil or its environment and this is essential for growing and survival. Also, the second section of the sentence shows the developing mushroom can sense its environment and respond by developing only in appropriate conditions.

4 0

2 years ago

PLEASE HELP

Naya [18.7K]

Answer:

11. Equation of hyperbola having vertices at (0, ±6) and foci at (0, ±9).

is given by $\frac{y^2}{a^2}- \frac{x^2}{b^2}=1$

also b²= c²-a²

b²=81-36

b²=45

So, Equation becomes , $\frac{y^2}{36}- \frac{x^2}{45}=1$

Option (D) is correct.

12.Vertices (0, ± 4), Asymptotes = ±1/4.x

equation of asymptote is given by, $x = \pm y \frac{b}{a}$

$\frac{4}{b}=\frac{1}{4}$

So a=4 and b=16,

So , equation becomes $\frac{y^2}{16}- \frac{x^2}{256}=1$

Option (B) is correct.

13. x= t-3, and y = t²+ 5

Replace t by x+3, we get

y= (x+3)² +5

y=x²+ 6x +14

Option (A) is correct.

14. Polar coordinates is given by (r,∅)

Polar coordinates of point is (3, 2π/3)

So, r =3, ∅ =2π/3

x= r cos∅ and y = r sin∅

x=3 Cos (2π/3) and y= 3 Sin (2π/3)

x= -3/2 and y=3√3/2

Option (A) is correct.

14. Polar coordinate is given by (r,∅)

Here , r=1, and ∅ = -π/6

x= r Cos ∅ and y =r Sin∅

x= 1 Cos (-π/6) and y= 1 Sin (-π/6)

x =√3/2 and y =1/2

Option (B) which is B) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ) is correct.

16. Two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°.

is option (B) which is B) (4 square root 2 , 45°), (-4 square root 2 , 225°).

17. A circular graph with inner loop on the left of a limacon curve is given by

r = a + b Cos∅.

In this case a> b.

So , Option (D) r = 4 + cos θ as well as (A) r = 3 + 2 cos θ looks correct.

18. Equation of limacon curve is given by r = -2 + 3 cos θ, here , a<b

So it is symmetric about y-axis only.Option (B) is correct.

5 0

2 years ago