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4 years ago

Write an equation of the line with the given characteristics (show all work)

Mathematics

1 answer:

Sedbober [7]4 years ago

4 0

Answer:

1. y = - 4 x + 5

2. x = -8

Step-by-step explanation:

1. (-1,9) (1,1)

y = mx + b

m = (y-y') / (x-x') = (1-9) / (1-(-1)) = -8 / 2 = - 4

b = y - mx = 9 - (-4) x (-1) = 5

equation: y = - 4 x + 5

check: (1,1) y=1 = (-4) x 1 + 5 = 1

2. Vertical line through (-8,6) is a line perpendicular to x axis

x = -8

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Find the value of X.

miv72 [106K]

Answer:

x = 8√2 units

Step-by-step explanation:

On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.

x = 8 × √2

x = 8√2 units

4 0

3 years ago

Using each digit once in a number,how many 3-digit numbers can you make using the digits 3,5 and 8?

Oliga [24]

358,385,835,853,583,538=6 numbers

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4 years ago

Read 2 more answers

Which expressions below are equivalent to –3(0.15 – 0.2 + 0.25p) ? Please help, thanks 0.15 – 0.75p –0.45 – 0.6 + 0.75p –3(–0.05

user100 [1]

Given:

The expression is

$-3(0.15-0.2+0.25p)$

To find:

The equivalent expression.

Solution:

We have,

$-3(0.15-0.2+0.25p)$

It can be written as

$=-3(-0.05+0.25p)$

So, option C is correct.

$=-3(-0.05)+(-3)(0.25p)$

$=0.15-0.75p$

So, option A is correct.

The given expression can be written as

$=-3(0.15)+(-3)(-0.2)+(-3)(0.25p)$

So, option D is incorrect.

$=-0.45+0.6-0.75p$

So, option B is incorrect.

Therefore, the correct options are A and C.

4 0

3 years ago

What is the equation, in slope-intercept form, of the line

Serga [27]

Answer: y=3x-7

Step-by-step explanation:

(2,2) and (-1,3) lie on the given line, so its slope is $\frac{3-2}{-1-2}=-\frac{1}{3}$

Since perpendicular lines have slopes that are negative reciprocals, the slope of the given line is 3.

Substituting into point slope form,

$y+1=3(x-2)\\y+1=3x-6\\\boxed{y=3x-7}$

3 0

2 years ago

John davis, a manager of a supermarket, wants to estimate the proportion of customers who use food stamps at his store. he has n

8_murik_8 [283]

Answer:

1509

Step-by-step explanation:

We know that, formula for number of samples is,

$n= \frac{z^2 \times p \times q}{SE^2}$

When nothing is given, we take $p=0.5$ and we know that $q = 1-p=0.5$ .

SE = 0.03 (the true proportion should remain withing 3%)

Putting the values we get,

$n= \frac{(2.33)^2 \times 0.5 \times 0.5}{(0.03)^2}$

$n= \frac{5.4289 \times 0.5 \times 0.5}{0.03 \times 0.03} \approx 1509$

Therefore, the sample required to estimate the true proportion to within 3 percentage points is 1509.

7 0

4 years ago