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Degger [83]
1 year ago
7

What is the slope of the line?

Mathematics
1 answer:
spin [16.1K]1 year ago
4 0

Answer:

-7/2

Step-by-step explanation:

The slope of a line can be defined as: \frac{rise}{run}, which can be more formally calculated as: \frac{y_2-y_1}{x_2-x_1}, where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)

So let's just say: (x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)

Plugging the values into the equation we get: \frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}

You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.

Notice how the "rise" is negative? That just means it went down.

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Simplify √ 96/8 a.√2/4 b.1/2√3 c.4√3/√2 d. 2√3
VARVARA [1.3K]
The first one is: √ 96/8=2 √ 3
5 0
3 years ago
Si 4x= 5/6y entonces 5y=
Hunter-Best [27]

Answer:

5y=24x

Step-by-step explanation:

<em>The question in English is</em>

If 4x= 5/6y then 5y=

we have

4x=\frac{5}{6}y

Solve for 5y

Multiply both sides by 6

6*4x=(6)*\frac{5}{6}y

Simplify

24x=5y

Rewrite

5y=24x

8 0
3 years ago
Prove that root 7 is irrational by the method of contradiction
Alchen [17]

Let assume that \sqrt7 is a rational number. Therefore it can be expressed as a fraction \dfrac{a}{b} wherea,b\in\mathbb{Z} and \text{gcd}(a,b)=1.

\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2

This means that a^2 is divisible by 7, and therefore also a is divisible by 7.

So, a=7k where k\in\mathbb{Z}

(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2

Analogically to a^2=7b^2 ------- b^2 is divisible by 7 and therefore so is b.

But if both numbers a and b are divisible by 7, then \text{gcd}(a,b)=7 which contradicts our earlier assumption that \text{gcd}(a,b)=1.

Therefore \sqrt7 is an irrational number.

8 0
3 years ago
I need help on 11-16
alisha [4.7K]
I cant see all of 11 and 14
12:
3f = 18 \\   \frac{3f}{3}  =  \frac{18}{3}  \\ f = 6
13:
3f =  {3}^{2}  \\ 3f = 9 \\  \frac{3f}{3}  =  \frac{9}{3}  \\ f = 3
15:
3h = 9 + 10 \\ 3h = 19 \\  \frac{3h}{3}  =  \frac{19}{3}  \\ h = 6.3
16:
3f = 27 - 21 \\ 3f = 6 \\  \frac{3f}{3}  =  \frac{6}{3}   \\ f = 2
6 0
4 years ago
The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 96. Find x.
slava [35]

Answer:

12 units

Step-by-step explanation:

base is x

one of the legs measure 4x-6

therefore, perimeter is equal to

2 (4x - 6) + x = 96

8x - 12 + x = 96

9x = 96 + 12

9x = 108

x = 108/9 = 12 units

5 0
3 years ago
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