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bulgar [2K]
2 years ago
8

What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.​

Mathematics
1 answer:
Leni [432]2 years ago
6 0
Solve for y.
subtract 4x from both sides
-2y = -4x + 10
divide everything by -2
y = 2x - 5
slope intercept form is y = mx + b, with m being the slope, so 2 is your slope
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Which table represents a linear function?​
Romashka-Z-Leto [24]

Answer:

1st one

Step-by-step explanation:

Since the x's for each one are going up by the same number, you are looking for a column of y's to either by going up by the same number or down by the same number.

The first table has a column of y's that look like this:  1/2 , 1 , 1  1/2,  2  

This is actually going up for 1/2 each time.

This table shows a linear function.  

8 0
2 years ago
Which statement is true?
Ilia_Sergeevich [38]

Answer:

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

Step-by-step explanation:

The old math saying: "Every square is a rectangle, but not all rectangles are squares."

What makes a rectangle a rectangle is that it has four right angles.

A square also has four right angles. Therefore, a square is a type of rectangle.

<h3>What makes the other answers wrong:</h3>

A rectangle does not have equal lengths on all four sides like a square does.

A square MUST have four right angles for it to be a square.

<em>Brainiliest Appreciated. </em>

7 0
3 years ago
I really am bad with math and just have given up
Slav-nsk [51]
Well hmmm does the graph open upwards or downwards?  well
is a quadratic, if the leading term's coefficient is negative, Down, if positive, Up

a)
now, let's see the leading term, -x², what's its coefficient? is -1 * x² or -1x², is -1, so is negative, thus is opening downwards

c)
x-intercepts occur, when y = 0, namely y = -x²-4x-3, so setting y to 0
0 = -x² -4x -3 take a common factor of -1, thus

0 = -1 (x²+4x+3)  <--- now, if we factor that out, notice, surely you've done many of these by now, so we end up with 

\bf \begin{array}{lcclll}&#10;0=x^2&+4x&+3\\&#10;&\uparrow &\uparrow \\&#10;&3+1&3\cdot 1&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;0=(x+3)(x+1)\implies &#10;\begin{cases}&#10;0=x+3\implies &-3=x\\&#10;0=x+1\implies &-1=x&#10;\end{cases}

so, the x-intercepts are at -3 and -1

d)

now, the y-intercepts, just set x = 0
y = -x²-4x-3, settting x to 0 y = -0²-4(0)-3, which is y = -3

so the sole y-intercept is at y = -3


now, let's get on to b)

b)   \bf \textit{vertex of a parabola}\\\\&#10;&#10;\begin{array}{lccclll}&#10;f(x)=&-1x^2&-4x&-3\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}\qquad &#10;\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

and those are the coordinates, notice a = -1, b = -4 and c = -3

now, for

e)

well, all you have to do is, once you have the vertex, pick an x-value on the left-hand-side of the vertex, get they value for "y", or OUTPUT,

then pick another x-value, on the right-hand-side of the vertex, get the "y" value again, and plot away
7 0
3 years ago
2. Which trinomial below is equivalent to the square of the binomial x-5?
ExtremeBDS [4]

Answer:

2)   x² - 10x + 25

Step-by-step explanation:

(x - 5)(x - 5) = x² - 5x  -5x + 25

Combining like terms

x² - 10x + 25

6 0
3 years ago
I need help!! ASAP please and thank you!!
max2010maxim [7]

Answer:

5 x 18 = 5 x 2 x 9

5 x 18 = 90

Step-by-step explanation:

For the first equation, notice that 18 is broken into 9 and an unknown.

This can be written as:

18 ÷ 9 = ?

Well, 18 divided by 9 equals 2.

18 ÷ 9 = 2

We can use this to answer the second equation.

Instead of trying to multiply 5 and 18, multiply 5 and 2 first.

5 x 18 = 5 x 2 x 9

5 x 18 = 10 x 9

Now, just multiply 10 and 9.

5 x 18 = 10 x 9

5 x 18 = 90

Therefore, the product of 5 and 18 is 80.

7 0
3 years ago
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