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3 years ago

I really need help on this please no clue

Mathematics

1 answer:

marta [7]3 years ago

4 0

The transformation rule tells you to subtract 6 from each x-coordinate and subtract 4 from each y-coordinate. That means

... coordinates (2, 5) become (2-6, 5-4) = (-4, 1)

... coordinates (6, 2) become (6-6, 2-4) = (0, -2)

... coordinates (3, -5) become (3-6, -5-4) = (-3, -9)

Plot the new coordinates and draw the triangle. In the figure, ∆EFG is the triangle after its relocation.

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Solve the system by the substitution method. Sol of x + 7y = -1 - 4x – 2y = -22

Vika [28.1K]

Answer:

(6, - 1 )

Step-by-step explanation:

Given the 2 equations

x + 7y = - 1 → (1)

- 4x - 2y = - 22 → (2)

Rearrange (1) expressing x in terms of y by subtracting 7y from both sides

x = - 1 - 7y → (3)

Substitute x = - 1 - 7y into (2)

- 4(- 1 - 7y) - 2y = - 22 ← distribute and simplify left side

4 + 28y - 2y = - 22

4 + 26y = - 22 ( subtract 4 from both sides )

26y = - 26 ( divide both sides by 26 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 1 - 7(- 1) = - 1 + 7 = 6

Solution is (6, - 1 )

3 0

3 years ago

Read 2 more answers

A manufacturer produces both two-slice and four-slice toasters. The two-slice toaster takes 6 hours of labor to produce and the

frosja888 [35]

We have two products: a two-slice toaster and a four-slice toaster.

Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.

If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.

The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).

The same can be done for F, where the labor required can be expressed as 10*T.

If we add these terms, and make them be less or equal than 300, we get:

$6T+10F\le300$

The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.

We can express this as:

$T+F\le40$

Answer:

The system of inequalities for this problem becomes:

$\begin{gathered} 6T+10F\le300 \\ T+F\le40 \end{gathered}$

6T+10F<=300

T+F<=40

6 0

1 year ago

Radio signals travel at a rate of 3 × 10^8 meters per second. How many seconds would it take for a radio signal to travel from a

stiv31 [10]

This question is an example of d = r * t

r = rate

r = 3*10^8 m/s

t = ??

d = 7.5 * 10^6 meters.

Sub and solve

d = r * t

7.5 * 10^6 = 3 * 10^8 * t Divide both sides by 3 * 10^8

7.5 * 10^6 / (3 * 10^8) = t

2.5 * 10^(6 - 8) = t

2.5 * 10^-2 seconds = t or

0.025 seconds = t

3 0

3 years ago

If BAC = 320°, what is the measure of BC?

melisa1 [442]

Answer:

BC = 40º

BMC = 40º

Step-by-step explanation: Since the measure the major and minor arcs add up to 360º, just subtract 320 from 360 to find BC which is 40º. <BMC is also 40º because the measure of the arc is equal to its corresponding angle.

3 0

3 years ago

The force F is directly proportional to the product of charges q and Q and inversely proportional to the square of the distance

Ray Of Light [21]

The charge Q is 512 c.

Step-by-step explanation:

Step 1:

The equation is $F=\frac{(q)(Q)}{R^{2}}$ , where q and Q are the charges, R is the distance between the charges, and F is the force between the charges.