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Trava [24]
4 years ago
8

Consider the following system of equations.

Mathematics
1 answer:
Katena32 [7]4 years ago
8 0

D.)  "The graphs of the equations intersect each other at two places."

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What is an equation to show the relationship between 7 meters and 0.007 kilometers
Dafna11 [192]

Answer:

1 kilometer = 1000 meters

or

0.001 kilometers = 1 meter

6 0
4 years ago
Read 2 more answers
1) Find the value for a that makes sin a = cos 25 true A ) 35 B) 65 D ) 155
svet-max [94.6K]

Answer:

B

Step-by-step explanation:

Using the cofunction identity

sin(90 - x)° = cosx°

Here x = 25° , then

cos25° = sin(90 - 25)° = sin65°

6 0
2 years ago
A student solves the following equation and determines that the solution is −2. Is the student correct? Explain. 3 a + 2 − 6a a2
Ganezh [65]

For this case, we have the following equation (according to the comments):

\frac{3}{a+2} - \frac{6a}{a^2-4}  = \frac{1}{a-2}

First, we factor the quadratic expression in the denominator:

\frac{3}{a+2} - \frac{6a}{(a-2)(a+2)}  = \frac{1}{a-2}

Then, we multiply both sides of the equation by (a-2) (a + 2):

\frac{3(a-2)(a+2)}{a+2} - \frac{6a(a-2)(a+2)}{(a-2)(a+2)}  = \frac{(a-2)(a+2)}{a-2}

Later, canceling similar terms we have:

3(a-2) - 6a = a+2

We do distributive property on the left side of the equation:

3a-6-6a=a+2

By grouping variables and constant terms we have:

3a - 6a -a = 2+6

Rewriting we have:

-4a=8

Finally, by clearing "a" we have:

a=-\frac{8}{4} a=-2

Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.

Answer:

the student correct, but the value of a= -2 is an extraneous solution

8 0
4 years ago
Read 2 more answers
How do i turn 165 percent into a fraction and a decimal
Diano4ka-milaya [45]
To convert a percent to a fraction you first convert the percent to a decimal than use the same procedure as converting a decimal to a fraction.

Answer:
=165%
=1.65
=165/100
=33/20
=1 13/20
8 0
4 years ago
Toby has 75% as many comic books as Mitch. Jarrett has 25% more comic books than Mitch. If Toby has 45 comic books, how many com
RSB [31]

Answer:

Jarrett has 75 comics

Step-by-step explanation:

T = Number of comic books Toby has.

M = Number of comic books Mitch has.

J = Number of comic books Jarrett has.

Toby has 75% as many comic books as Mitch.

T = 3/4 * M

This is because 75% = 75/100 = 3/4

Jarrett has 25% more comic books than Mitch.

J = 5/4 * M

This is because 125% = 125/100 = 5/4

If Toby has 45 comic books, how many comic books does Jarrett have.

1) Substitute T = 45 and Solve for M

T = 3/4 * M

45 = 3/4 * M

45 ÷ 3/4 = M

45 * 4/3 = M

180/3 = M

M = 60

2) Substitute M = 60 and Solve for J

J = 5/4 * M

J = 5/4 * 60

J = 300/4

J = 75

Jarrett has 75 comics

3 0
3 years ago
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