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Naddika [18.5K]
3 years ago
6

Simplify the expression below

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

Answer:

− 4 x + 20

Step-by-step explanation:

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Which equation could be solved using this application of the quadratic formula?
Alex_Xolod [135]

Answer:

C. x^2 + 2x - 1 = 3

Step-by-step explanation:

The standard form of a quadratic equation is

ax^2 + bx + c = 0

We need to use the quadratic formula and the given expression to find the values of a, b, and c.

The quadratic formula is

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Where the formula has -b, the problem has -2, so b = 2.

Now we have

ax^2 + 2x + c = 0

In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.

Now we have

x^2 + 2x + c = 0

Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.

Now we have

x^2 + 2x - 4 = 0

Let's look at choice A.

x^2 + 1 = 2x - 3

Subtract 2x from both sides. Add 3 to both sides.

x^2 - 2x + 4 = 0   <em>This is not it!</em>

Let's look at choice B.

x^2 - 2x - 1 = 3

Subtract 3 from both sides.

x^2 - 2x - 4 = 0     <em>This is not it!</em>

Let's look at choice C.

x^2 + 2x - 1 = 3

Subtract 3 from both sides.

x^2 + 2x - 4 = 0     <em>This is it!</em>

Answer: C. x^2 + 2x - 1 = 3

8 0
3 years ago
13. Find the value of x.<br> 140°<br> 136°<br> х<br> 148°<br> 142°<br> 150°
garik1379 [7]

Answer:

sum of interior angle of heptagon is 900°.

140°+148°+136°+150°+142°+90°+x=900°

806+x=900°

x=900°-806°

x=94°

8 0
3 years ago
In B E C, F is the centroid, and AC = 12. Find A F and F C
klemol [59]

bearing in mind that the centroid in a triangle cuts each of the three medians in a 2:1 ratio.

since we know that A C = 12, let's split it in a 2:1 ratio then, cleary from the picture the larger is F C, so F C : A F is on a 2:1 ratio.

\bf A C=A F+F C\qquad \qquad \cfrac{F C}{A F}=\cfrac{2}{1}\qquad \qquad \cfrac{2\cdot \frac{12}{2+1}}{1\cdot \frac{12}{2+1}}\implies \cfrac{2\cdot 4}{1\cdot 4}\implies \cfrac{8}{4}

4 0
3 years ago
Find the value of x.
slavikrds [6]

Answer:

x=11

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

so

In this problem

(x+5)=\frac{1}{2}(3x-1)

solve for x

Multiply by 2 both sides

2x+10=3x-1

subtract 2x both sides

10=3x-1-2x

10=x-1

Adds 1 both sides

x=11

3 0
3 years ago
I need help on number 5 this is due at 11.59 thank you :)
zavuch27 [327]
Yes algebra!!! Anyways, the m of y=mx+b is the slope of the graph, this affects the graph by making the line go in a angle either negatively or positivly
B is where the plot lies on the y line (up and down)
3 0
3 years ago
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