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3 years ago

If a line has a slope of 3 and contains the point (-1, 4), what is its equation in

Mathematics

1 answer:

finlep [7]3 years ago

8 0

Answer:

The equation in point slope form would be D

Step-by-step explanation:

The equation in letters would be y- $y_{1}$ =m(x- $x_{1}$ ). You plug it in and you will get the answer.

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The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l

miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0

3 years ago

What is the vertex of he graph?

s2008m [1.1K]

Answer:

(1,3)

Step-by-step explanation:

recall the vertex of a quadratic graph is simply the location where the graphs makes a u-turn.

in this case, the graph clearly makes a u-turn at x = 1 and y = 3

or the coordinates (1,3)

8 0

3 years ago

Read 2 more answers

PLEASE HELPPPPPP ASAPPP<br>I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER

guajiro [1.7K]

Answer:

a. Find the multiples of 4 and 12 in the 30 to 40 range:

4 ⇒ 32, 36, 40

12 ⇒ 36

Answer = 36

b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24

Answer = 3

3 is the only odd divisor.

c. Gcd = Greatest common divisor that isn't zero.

35 divisors ⇒ 1, 5, 7, 35

42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42

Answer = 7

d. 98 divisors ⇒ 1,2,7,14,49,98

99 divisors ⇒ 1,3,9,11,33,99

Answer = 1

e. Answer = 25.

A number's greatest divisor is its own self.

6 0

3 years ago

AWNSER FOR 99 POINTS!What is the volume of the pyramid? A. 2470 cm3 B. 4940 cm3 C. 7410 cm3 D. 14,820 cm3

fgiga [73]

The answer is B.4940. I found the picture of the pyramid u forgot to post. The volume for pyramid is lwh/3

5 0

3 years ago

Read 2 more answers

Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.

krok68 [10]

Answer:

$y^2=\frac{1}{8}x$

Step-by-step explanation:

The focus lies on the x axis and the directrix is a vertical line through x = 2. The parabola, by nature, wraps around the focus, or "forms" its shape about the focus. That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type. The standard form for this type is

$(x-h)=4p(y-k)^2$

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one). That means that the vertex has to be equidistant from the focus and the directrix. If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0). So h = 0 and k = 0. p is the number of units from the vertex to the focus (or directrix). That means that p=2. We fill in our equation now with the info we have:

$(x-0)=4(2)(y-0)^2$

Simplify that a bit:

$x=8y^2$

Solving for y^2:

$y^2=\frac{1}{8}x$

3 0

3 years ago