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Viktor [21]
2 years ago
10

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m=-3

Mathematics
1 answer:
timurjin [86]2 years ago
5 0

Answer:

y = -3x + 1

Step-by-step explanation:

Starting with the point (-1, 4) and the slope m = -3, write out the point-slope equation of a straight line:  y - k = m(x - h) becomes y - 4 = -3(x + 1), or:

y = -3x - 3 + 4

y = -3x + 1    This is the same as answer choice (b).

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what is the area, in square inches, of the largest triangle that can fit into a 3-inch by 4-inch rectangle. please show how you
AnnyKZ [126]
The area of the largest triangle would be 6 inches².

How did I get this? I'll explain first:

We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:

The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.

Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.

I've added an image to explain.

The formula to find the area of a triangle is half of the base × height.

A of Δ = half of 3 × 4
A = 1.5 × 4 = 6 inches²!

4 0
3 years ago
PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain
Zina [86]

Answer:

60^{\circ}

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides =\dfrac{360^{\circ}}{n}

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon =\dfrac{360^{\circ}}{6}=60^{\circ}

Since ∠I is an exterior angle of the regular hexagon, therefore, \angle I=60^{\circ}.

4 0
3 years ago
How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word
Sergio [31]

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

1 option for the last letter.

The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

AEVIL

EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

5 0
3 years ago
What is the value of x in the equation 0.7 x - 1.4 = -3.5
Daniel [21]

Answer:

x=12.5

Step-by-step explanation:

0.7x times (-1.4)=-3.5

-0.28x=-3.5 (divide both sides)

Ans:12.5

4 0
3 years ago
What is the area of a circle with a Radius of 4 and a Diameter of 2?<br><br> (Its on Khan)
algol13

Answer:4^2≈50.26548

Step-by-step explanation:

   πr2.

   Where r is the radius and π≈3.14 , the ratio of a circle's circumference to    its diameter.

   Plugging in 4 from the radius, we get.

   42π

   ⇒16π inches.

   This is our exact answer. Alternatively, we can plug in 3.14 for π to get.

   50.26 inches.

7 0
2 years ago
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