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3 years ago

Find the slope of the graph

Mathematics

2 answers:

Natalija [7]3 years ago

4 0

Answer:

Step-by-step explanation:

m=26 when u as u go as down as {{6-2} -13

sp2606 [1]3 years ago

3 0

Answer:

Step-by-step explanation:

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

m = y2 - y1 / x2 - x1

Where

m — slope

If the 2 Points are Known:

Slope (m) = ΔY/ΔX

= 7-(-1) / 3-(-1)

= 8/4

= 2/1

= 2

θ = arctan (ΔY/ΔX)

= tan¯¹(8/4)

= 63.434948822922°

ΔX = 3 – (-1) = 4

ΔY = 7 – (-1) = 8

Distance (d) = √ΔX2 + ΔY2 = √80

= 8.9442719099992

Equation of the line:

y = 2x + 1

When x=0, y = 1

When y=0, x = -0.5

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Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

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

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

So, the solutions of the quadratic equation are 3 and -7.

6 0

3 years ago

In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third

insens350 [35]

Answer:

104°

Step-by-step explanation:

let the second angle be x , then

the first angle is x + 24

the third angle is 4x , thus summing and equating to 180

x + x + 24 + 4x = 180, that is

6x + 24 = 180 ( subtract 24 from both sides )

6x = 156 ( divide both sides by 6 )

x = 26

Thus largest angle = 4x = 4 × 26 = 104°

6 0

3 years ago

Express the decimal as a percent. 0.053

velikii [3]

Hey this is very easy to learn! So to express a decimal as a percent all we have to do is multiply it by 100. So multiplying .053 by 100 would just mean moving the decimal point 2 spaces to the right.

So the answer would be 5.3%

I hope this helps!

-Ayden

8 0

3 years ago

I was doing my homework and got confused on this question.

spayn [35]

We will determine the length of the segment DF as follows:

*We have that the triangles are similar, and therefore the following is true:

$\frac{2}{1.34}=\frac{4}{DF}$

Now, we solve for DF:

$\Rightarrow DF=\frac{1.34\cdot4}{2}\Rightarrow DF=2.68$

From this, we have that the length of the segment DF equals 2.68 units.

4 0

2 years ago

Find the measure of angle 0. Round to the nearest degree

Serga [27]

Answer:

22°

Step-by-step explanation:

sin(theta)=7/19

m(theta)= arcsin(7/19)=22°

4 0

3 years ago