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4 years ago

What Is the y-intercept of the two points that cross through (8,1) and (-3,1)?

Mathematics

1 answer:

kramer4 years ago

7 0

Answer:

(0,1)

Step-by-step explanation:

The line made by these two points is perfectly horizontal since the value of y in both points is the same. When the y value is the same in all given points, that number is also the y-intercept and the line doesn't cross the x axis.

(The opposite applies as well: If the x value is the same in all given points, that number is also the x-intercept and the line doesn't cross the y axis. In that case, that means the line is vertical)

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Evaluate hj - h if h = 4 and j = 6

Reptile [31]

4*6 is 24
24-4 is 20
answer is 20

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3 years ago

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The golden ratio or golden mean is represented as (1 + √5) : 2.

Serjik [45]

Since the golden ratio is approximately 1.618033989 which fits what you provided, then rounded to the nearest thousandth would be 1.618

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4 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

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3 years ago

When x is decreased by 129 and then that number is multiplied by 129, the result is 129. What is the value of x?

myrzilka [38]

Answer:

Step-by-step explanation:

twice the difference of a number and 3 is added to 4

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3 years ago

The coordinates of A, B,and C in the diagram are A(p,4), B(6,1), C(9,q). What equation correctly relates p and q?

murzikaleks [220]

I don't see any diagram. So, I'll just wing it.

Value of q:
p, 6, 9 ⇒ there is a difference of 3. The sequence increases by 3. So, it can be assumed that the p is equal to 3. A(p,4) ⇒ A(3,4)

Value of q:
4, 1, q ⇒ there is a difference of 3. The sequence decreases by 3. So, it can be assumed that q is equal to -2. C(9,-2)

p q
A 3 4 ⇒ 3 + 4 = 7
B 6 1 ⇒ 6 + 1 = 7
C 9 -2 ⇒ 9 + (-2) = 7

Notice that the sequence has an equation of p + q = 7.

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3 years ago

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