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1 year ago

What is the distance between points A and B on the coordinate plane?

Mathematics

2 answers:

Serhud [2]1 year ago

7 0

The distance between points A and B is 10

RoseWind [281]1 year ago

3 0

Answer:

Step-by-step explanation:

use pythagorean theorem a^2 + b^2 = c^2

a = 6, b = 8

6^2 + 8^2 = c^2

100 = c^2

c = -10

since it cant really be negative, the distance becomes 10.

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Let f (x)=x^2+2x-35 enter the x-intercepts of the quadratic function in the boxes __and___

serious [3.7K]

Answer:

The x-intercepts of the quadratic function are -7 and 5.

Step-by-step explanation:

The given function is

$f(x)=x^2+2x-35$

Equate f(x)=0, to find the x-intercepts of the function.

$x^2+2x-35=0$

$x^2+7x-5x-35=0$

$x(x+7)-5(x+7)=0$

$(x+7)(x-5)=0$

$x+7=0\Rightarrow x=-7$

$x-5=0\Rightarrow x=5$

Therefore the x-intercepts of the quadratic function are -7 and 5.

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2 years ago

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You might have experienced static electricity and even felt a mild shock. Think about what you observed. Then write down one or

Ber [7]

Answer:

mild shock: 1. why did i feel electricity through my whole arm?

static: 2. how did i make electricity from rubbing a balloon on my hair?

3 0

3 years ago

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A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? H

Len [333]

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

7 0

2 years ago

Need an answer, please need an answer, please

inna [77]

Answer:

Step-by-step explanation:

3x² - 11x - 4 = 0

a = 3 ; b = -11 , c = -4

$Sum \ of \ roots = \dfrac{-b}{a}=\dfrac{-(-11)}{3}=\dfrac{11}{3}\\\\Product \ of \ roots =\dfrac{c}{a}=\dfrac{-4}{3}\\\\$

8x² + 12x = -1

8x² + 12x + 1 = 0

a = 8 ; b = 12 ; c = 1

$Sum \ of \ roots =\dfrac{-b}{a}=\dfrac{-12}{8}=\dfrac{-3}{2}\\\\Product \ of \ roots = \dfrac{c}{a}=\dfrac{1}{8}$

x² + x = 6

x² + x - 6 = 0

a = 1 ; b= 1 ; c = -6

$Sum \ of \ roots = \dfrac{-1}{1}=-1\\\\Product \ of \ roots = \dfrac{-6}{1}=-6$

x²- 2x - 2 =0

a = 1 ; b = -2 ; c = -2

$Sum \ of \ roots = \dfrac{-(-2)}{1}=2\\\\Product \ of \ roots = \dfrac{-2}{1}=-2$

4x - 5 = -4x²

4x² + 4x - 5 = 0

a = 4 ; b = 4 ; c = -5

$Sum \ of \ roots = \dfrac{-4}{4}=-1\\\\Product \ of \ roots=\dfrac{-5}{4}$

12x² +x -6 = 0

a = 12 ; b = 1 ; c = -6

$Sum \ of \ roots =\dfrac{-1}{12}\\\\Product \ of \ roots =\dfrac{-6}{12}=\dfrac{-1}{2}$

2x² + 5x - 25 = 0

a = 2 ; b = 5 ; c = -25

$Sum \ of \ roots=\dfrac{-5}{2}\\\\Product \ of \ roots =\dfrac{-25}{2}$

6x² -5x - 4 = 0

a = 6 ; b = -5 ; c = -4

$Sum \ of \ roots =\dfrac{-[-5]}{6}=\dfrac{5}{6}\\\\Product \ of \ roots = \dfrac{-4}{6}=\dfrac{-2}{3}$

8 0

2 years ago

Read 2 more answers

Estimate the line of best fit using two points on the line 100 90 80 70 (e, 80) 60 30 20 10 (2.20) 10 O A. y= 2x O B. y = 2x+10

nexus9112 [7]

Answer:

$y = 10x$

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using $(8,80)$ and $(2,20)$

We have:

$(x_1,y_1) = (8,80)$

$(x_2,y_2) = (2,20)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{20 - 80}{2- 8}$

$m = \frac{-60}{-6}$

$m = 10$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 10(x - 8) + 80$

Expand

$y = 10x - 80 + 80$

$y = 10x$

5 0

3 years ago