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2 years ago

What is the slope of the line that passes through the points (-20, 18) and (30, 14)?

1 answer:

7 0

Gradient =

Change in Y
———————
Change in X

Change in Y is 18 - 14 = 4
Change in X is -20 - 30 = -50

Therefore the gradient is 4/-50 which is then simplified to - (2/25)

You might be interested in

Find the distance (-1,-2) and (3,-1)

jasenka [17]

Answer:

$\sqrt{17}$

Step-by-step explanation:

$\sqrt{4^2 + 1^2}$

$\sqrt{17}$

5 0

3 years ago

What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

Joseph write the number pattern below 100; 101, 96; 97; 92; 93, 88; 89; what is the next pattern?

sergij07 [2.7K]

Answer:

multiples of 8

Step-by-step explanation:

79 80. 82. 81. 83 84 85 86. 88. 87. 89 90. 92. 91. 93 94 95 96. 98. 97. 99 100 ... 101. 3. (a) Write down the first 8 multiples of 8. (b) Write down the first 8 multiples of 6. ... (d) What are the next two numbers that are multiples of both 6 and 8? 4.

5 0

3 years ago

Mary and Jeff both have jobs at a baseball stadium selling bags of peanuts. They each get paid $12 per game

Anarel [89]

A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags

b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50

6 0

3 years ago

What is the volume of this unit cube?

xxTIMURxx [149]

Answer:

1 cubic centimeter

Step-by-step explanation:

V=l³ And l=1

so V=1³ so

V=1

since we cubed something it is in cubic centimeters so

1 cubic centimeter

3 0

3 years ago