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2 years ago

7

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation an

d Helena claims that point-slope form will find the equation. Who is correct?

1 answer:

Nikitich [7]2 years ago

8 0

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

$y - y'= \frac{y''-y'}{x''-x'}\times (x-x')$

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

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Round 56,477,812 to the nearest hundred thousand,

GrogVix [38]

Answer:

56,500,000.

Step-by-step explanation:

56,477,812 rounded to the nearest hundred thousand:

The 4 is in the hundred thousands place, so we'll look at the next digit to the right of that, which is the 7:

56,<u>4</u>77,812

Since 7 is more than 5, we'll have to go up a number, which will be the 4. Afterwards, we'll have to replace all the digits after the 4 with zeros.

56,500,000.

8 0

2 years ago

How many times larger is 3.172 x 106 than 2.44 x 105?

ycow [4]

Answer: 2 times larger.

Step-by-step explanation:

6 0

3 years ago

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

2 years ago

Marissa bought 60 horns for her New Year’s Eve party for $83.40. She needs to purchase an additional 18 horns for the party at t

Degger [83]

1- false
2- true
3- true
4-true

7 0

2 years ago

Read 2 more answers

Question 4 options:<br><br> tan Z<br><br><br> cos X<br><br><br> sin X<br><br><br> sin Z

ser-zykov [4K]

Answer:

sin X

Step-by-step explanation:

sin X = $\frac{opposite}{hypotenuse}$ = $\frac{YZ}{XZ}$ = $\frac{84}{85}$

4 0

3 years ago