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2 years ago

What is the slope intercept equation

Mathematics

1 answer:

NikAS [45]2 years ago

6 0

m: m represents the slope an equation, b is the y-intercpt...

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The sum of two numbers is 43 . The smaller number is 19 less than the larger number. What are the numbers?

Setler [38]

Let the smaller number be x and the larger number be y.
We can calculate this by using simultaneous equation, aka listing 2 equations out.
From given,
X + y = 43
Let this be equation no. 1
X + 19 = y
Let this number be equation 2.
We can do simultaneous equations either by substitute method or elimination. In this case I'm using substitute.
We can already obtain the value of y (in terms of x) in euqation no. 2, so all we gonna do is to put y into equation 1.
X + x + 19 = 43
Solve this by algebra.
2x = 43 - 19
X = 12
Now we know the exact value of x
Now substitute x = 12 into equation no. 2
12 + 19 = y
Y = 31
So the answer is 12 and 31

7 0

2 years ago

PLZ HELP

Alex

Answer:

The correct option is C ) 109.5°

Therefore,

$m\angle E=109.5\°$

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

$\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}$

Substituting the values we get

$\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}$

$\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}$

Therefore,

$\angle E=\cos^{-1}(-0.3333)$

$m\angle E=109.5\°$ ............As it is in Second Quadrant

Therefore,

$m\angle E=109.5\°$

4 0

2 years ago

A triangle's area is given by the expression 3x2-x+12. The height is 6x. The base off the triangle is the quotient of the area a

patriot [66]

You have known the formula Length of base is la division of Area and a haft of the height.
So we have 3
$(3 {x}^{2} - x + 12) \div ( \frac{1}{2} \times 6x)$
or
$(3 {x}^{2} - x + 12) \div 3x$
$3 {x}^{2} \div 3x +( - x \div 3x) + 12 \div 3x$
and
$x - \frac{1}{3} + \frac{4}{x}$
have fun

6 0

2 years ago

Which exponential function is represented by the values in the table?

svlad2 [7]

Here we use the equation

$y = a(b)^x$