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4 years ago

Need help on this question writing linear equations

Mathematics

1 answer:

Mrrafil [7]4 years ago

6 0

if you look at delta y over x, you'll notice it always equals 2

i.e (22-2)/10-0 = 20/10 = 2

or (14-2)/6-0 = 12/6 = 2

or even (22-8)/10-3 = 14/7 = 2

This means that m (slope) is 2.

Now as for b. b is the y intercept and that value occurs when x = 0. On the table, when x = 0 y = 2 so b = 2.

y = mx + b becomes

y = 2x + 2

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A population of fruit flies is increasing at a rate of 22.5%. If the population had an original size of 10 flies

matrenka [14]

Answer:

Original size of population containing fruit files = 10 files

Rate at which population of fruit file is increasing = 22.5%

New population of fruit files having initial population of 10 files and increase rate of 22.5% is given by =

10 + 22.5 × $\frac{10}{100}$

= 10 + 22.5 × $\frac{1}{10}$

= 10+ 2.25

= 12.25 files

4 0

3 years ago

Hannah notices that segment HI and segment KL are congruent in the image below: Two triangles are shown, GHI and JKL. G is at ne

BlackZzzverrR [31]

Answer:

segment IG ≅ segment LJ

Step-by-step explanation:

Please refer to the attached image as per the triangles as given in the question statement.

$\triangle HGI, \triangle JKL$

$G\left(-3,1\right),\ H\left(-1,1\right),\ I\left(-2,3\right)$

$J\left(3,3\right),K\left(1,3\right),L\left(2,1\right)$

Given that:

$HI\cong KL$ and

$\angle I \cong \angle L$

SAS congruence between two triangles states that two triangles are congruent if two corresponding sides and the angle between the two sides are congruent.

We are given that one angle and one sides are congruent in the given triangles.

We need to prove that other sides that makes this angle are also congruent.

To show the triangles are congruent i.e. $\triangle GHI \cong \triangle JKL$ by SAS congruence we need to prove that

segment IG ≅ segment LJ

Let us use Distance formula to find IG and LJ:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$IG =\sqrt{(-2+3)^2+(3-1)^2} =\sqrt5\ units$

$LJ =\sqrt{(2-3)^2+(1-3)^2} =\sqrt5\ units$

Hence, segment IG ≅ segment LJ

$\therefore$ ΔGHI ≅ ΔJKL by SAS

4 0

3 years ago

The function f(x)-->4-3sinx is defined for the domain 0≤x≤2pi

Alex787 [66]

1--- f(x) = 4 - 3 sin x = 2
-3 sin x = -2
sin x = 2/3
x ≈ 0.7297276562... ≈ 0.73

2--- -1 ≤ sin x ≤ 1
-3 ≤ 3 sin x ≤ 3
3 ≥ -3 sin x ≥ -3
7 ≥ 4 - 3 sin x ≥ 1

If k < 1 or k > 7, there is no solution.

3--- A = 3π/2

4--- g(x) = 4 - 3 sin x = y
4 - 3 sin y = x
4 - x = 3 sin y
(4 - x)/3 = sin y
sin^-1 (4 - x)/3 = y= g^-1

g^-1 (3) = sin^-1 (4 - 3)/4 = sin^-1 1/4 = 2.8017557... ≈ 2.802

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

4 years ago

If seven consecutive numbers equal to 182, which one is the smallest?

____ [38]

Answer:

the seven consecutive numbers would be 23 24 25 26 27 28 29

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve the equation. x - 8 = 3x A) -6 B) -5 C) -4 D) -3

evablogger [386]