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Ad libitum [116K]
3 years ago
9

Question 4

Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

No real roots

Step-by-step explanation:

The given equations are:

3x-1+2y=0

3x^2-y^2+4=0

We make y the subject in the first equation to get

y=\frac{1-3x}{2}

We substitute into the second expression to get:

3x^2-(\frac{1-3x}{2})^2+4=0

We expand to get:

3x^2-\frac{(1-6x+9x^2)}{4}+4=0

Multiply through by 4 to get:

12x^2-1+6x-9x^2+16=0

3x^2+6x+15=0

The discriminant is given by D=b^2-4ac

D=3^2-4*12*15

D=-711

Since the discriminant is less than zero, the two curves never intersects.

Therefore the system has no real roots

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Please show how the following equasion Square root of 64+6/-2*-2 I cannot arrive at the answer of 9.5
Delicious77 [7]

Answer:

9.5

Step-by-step explanation:

\sqrt{64}+\frac{6}{-2\left(-2\right)}

\sqrt{64}+\frac{6}{2 \times 2}

8+\frac{6}{4}

\frac{19}{2}

=9.5

7 0
3 years ago
Read 2 more answers
Hemant and Ajay start a two-length swimming race at the same moment but from opposite ends of the pool. They swim in the lane an
Alenkinab [10]

Answer:

Let length of the pool be L.

Deep

A —————————————><———————————----———————————— H

.................(18.5m)

H ——————————————————————————-———><————————- A

..............................................................................................................(10.5)

In same time, Andy covers 18.5 and Hardy covers L - 18.5.

In same time, Andy covers L - 18.5 + 10.5 while Hardy covers 18.5 + L - 10.5

The ratio of these distances covered would be the same since the speeds of both people are constant.

18.5/(L - 18.5) = (L - 8)/(L + 8)

Plug in the options to find that L = 45 works.

5 0
3 years ago
Jill collects stamps. Her stamp book has space for 64 stamps. She needs 18 more stamps to fill the book. How many stamps does Ji
d1i1m1o1n [39]

Answer:

46

Step-by-step explanation:

64 spaces. 18 empty

64 - 18 = 46

3 0
3 years ago
What is the slope of the line that passes through the points (0,5) (2,10)
Nadya [2.5K]

Answer:

m=5/2

Step-by-step explanation:

the equation of slope is (y2-y1)/(x2-x1)

here are the points given: (0,5), (2,10)

let's label the points:

x1=0

y1=5

x2=2

y2=10

now substitute into the equation (m is the slope)

m=(10-5)/(2-0)

subtract

m=5/2

the slope is 5/2

8 0
2 years ago
y=f(x) is odd (f(-x)=-f(x)) and f(x&gt;0) = x^2-5x-12, x is not = to 0. What points does the line f(x)=12 go through.
solmaris [256]
<span>f(x<0)=-f(x>0)=-x^2+5x+12 When x>0, x^2-5x-12=12, x=8, y=12 Therefore, f(x)=12 goes through point (8,12).</span>
5 0
3 years ago
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