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3 years ago

Solve the equation -6x-3y=-21 and 3x+y=6 by.combining the equations

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Answer:

i have made it in above picture hope it helps

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John had 84 dollars, and his brother Fred owed 12 dollars to his friend. John gave his brother some money. Fred paid his debt an

kumpel [21]

Answer:

John gave Fred $48

Step-by-step explanation:

Let

x be the amount of dollars John gave fred

y1 be the amount of dollars Fred has at the end

y2 be the amount of dollars John has at the end

Fred has

y1 = - $12 + x

John has

y2 = $84 - x

y1 = y2

- $12 + x = $84 - x

2*x = $96

x = $48

5 0

4 years ago

What is the distance between the points (4,9) and (14, -11)? Round to the

maks197457 [2]

Answer: 22.4

Step-by-step explanation:

The distance formula can be used to solve this problem.

$D=\sqrt{(x_{2}-x_{1} )^2+(y_{2}-y_{1} )^2}$

We can plug in our x and y values to find the distance.

$D=\sqrt{(14-4)^2+(-11-9)^2}$

$D=\sqrt{10^2+(-20)^2}$

$D=\sqrt{100+400}$

$D=\sqrt{500}$

$D=22.4$

Our distance between the points is 22.4.

7 0

4 years ago

Different ways to count from 580 -994

andrew11 [14]

By 10s, 100s, 5s, 15s, 20s, 30s,

3 0

3 years ago

Read 2 more answers

The lengths of nails produced in a factory are normally distributed with a mean of 3.34 centimeters and a standard deviation of

Shtirlitz [24]

Answer:

3.47 and 3.21

Step-by-step explanation:

Let us assume the nails length be X

$X \sim N(3.34,0.07^2)$

Value let separated the top 3% is T and for bottom it would be B

$P(X < T)= 0.97$

Now converting, we get

$P(Z < \frac{T-3.34}{0.07})= 0.97$

Based on the normal standard tables, we get

$P(Z < 1.881)= 0.97$

Now compare these two above equations

$\frac{T-3.34}{0.07} = 1.881 \\\\ T = 1.881 \times 0.07 + 3.34 \\\\ = 3.47$

So for top 3% it is 3.47

Now for bottom we applied the same method as shown above

$P(Z < \frac{B-3.34}{0.07})= 0.03$

Based on the normal standard tables, we get

$P(Z < -1.881)= 0.03$

Now compare these two above equations

$\frac{B-3.34}{0.07} = -1.881$

$= -1.881 \times 0.07 + 3.34 \\\\ = 3.21$

hence, for bottom it would be 3.21

7 0

3 years ago

1) Factor the expression and use the fundamental identities to simplify. There is more than one correct form of the answer.

Art [367]

Answer:

Step-by-step explanation:

1) 6 tan2x − 6 tan2x sin2x

= $6tan2x(1-sin2x)\\= 6tan2x (sin^2 x + cos^2 x -2sinx cosx)\\= 6tan2x (sinx+cosx)^2\\$

2) $\frac{3}{1+cos x} +\frac{3}{1-cosx} \\=\frac{3-cosx+3+cosx}{1-cos^2 x} \\=\frac{6}{sin^2 x} \\=6 cosec^2 x$

3) $\frac{sin^2 y}{1-cosy } =\frac{1-cos^2 y}{1-cosy }\\=1+cosy$

4) x=6cos t

So cost =x/6

$sint = \frac{\sqrt{36-x^2} }{\{6 } \\$

so -3sint

4 0

3 years ago