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3 years ago

What is the definition of ratio table

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

A table with columns filled with pairs of numbers that have the same ratio.

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How do I find X in this math problem?

yawa3891 [41]

You can use the fact that an exterior angle of a triangle is equal to the sum of the opposite interior angles.

97 +x = 64 +27 . . . . the relevant geometric relationship
x = 64 +27 -97 . . . . subtract 97
x = -6 . . . . . . . . . . . do the arithmetic

7 0

3 years ago

Prove each of the following statements about integers by proving thecontrapositive of the statement.A. If 3nis even, thennis eve

frozen [14]

Answer and Step-by-step explanation:

(A) Suppose 3n is even, this implies that the product of 3n is a multiple of two, let's say 2(3k) where k is a real number. Rearranging that, we have 3(2k), let 2k = n. Therefore, n is even.

(B) Suppose xyz is odd, then let x = 2k, y = 2p + 1 and z = 2q + 1. xyz = 2k(2p + 1)(2q + 1) and this is obviously even since it is a multiple of 2.

6 0

3 years ago

Which represents the inverse function f(x)=4x?

Jlenok [28]

The inverse of that function is x/4

$y= \frac{x}{4}$

3 0

3 years ago

Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form

s2008m [1.1K]

2-(-4)
--------= 6
-1-7 ---= 3/4
8
y=3/4x
-4=3/4 (7)+b
-4=21/4+b
-4-21/4= -37/4
21/4-21/4=0
y=3/4x-37/4

5 0

2 years ago

1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$