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3 years ago

The lines y=x+1 and y=-x-3 are graphed. What is the solution to the system? Please help

Mathematics

1 answer:

Fed [463]3 years ago

7 0

Answer: (-2, -1)

Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.

The two lines intersect in quadrant III

where x and y are both negative.

When finding the coordinates of a given point,

be very careful with your signs.

Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.

So to find the coordinates for this point, we start at the origin.

Then we move to the left 2 and down 1 so that's (-2, -1).

So the solution to this system is (-2, -1).

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Which number sentence shows the correct placement of the decimal point in the product based on the two factors A: 3.48 x 42.37 =

Rzqust [24]

Answer:

Step-by-step explanation:

Add the number of decimal places of the two numbers being multiplied to know the number of decimal places of the product.

A: 3.48 x 42.37 = 147.4476

2 decimal places + 2 decimal places = 4 decimal places

Only choice A is correct.

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3 years ago

A change machine changes dollar bills into quarters and nickels. If you receive 12 coins after inserting a dollar bill, how many

Rudik [331]

Well, given that a quarter equals 5 nickels, we can reason that, in order to get 12 coins, we would have to get 10 nickels (equals 50 cents) and 2 quarters (the other 50 cents, to make a dollar).

You didn't say whether you needed this expressed in a mathematical formula, but knowing the answer already, it shouldn't be hard to come up with one if necessary.

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3 0

3 years ago

Read 2 more answers

Question 2

lina2011 [118]

Answer:

The firefighter should extend the ladder at 54° of elevation.

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Tangent Ratio:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

$\displaystyle \tan\theta=\frac{91}{67}=1.3582$

The angle is calculated as the inverse tangent:

$\theta=arctan(1.3582)\approx 54^\circ$

The firefighter should extend the ladder at 54° of elevation.

4 0

3 years ago

Example of propertional relationship

Leokris [45]

Answer:

1/2 and 6/12 have a proportional relationship, which means they are the same.

Step-by-step explanation:

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3 years ago

y-1/6x+5=0 Is this written in standard form if not then what is the equation in standard form. A.yes B.no;y=1/6x-5 C.x=-6y+30 D.

trasher [3.6K]

Answer:

Step-by-step explanation:

Not in standard form. The coefficients should be integers and the coefficient of x should be positive.

x+6y=30

Note that the choices given are not in standard form.

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3 years ago