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3 years ago

Write the equation of (5,8) and slope 7

Mathematics

1 answer:

ratelena [41]3 years ago

6 0

Answer:

y - 8 = 7(x - 5)

y - 8 = 7x - 35

y = 7x - 27

Step-by-step explanation:

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Use the commutative property for addition to rearrange the algebraic expression 5x-7y-8x+y

BartSMP [9]

You want to use the addition property, so you need to ADD each term. Just change the minuses to pluses, making sure you keep the negative with the number

5x-8x-7y+y =

5x + -8x + -7y +y

5 0

3 years ago

A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is

Fantom [35]

Answer:

The answer is 180

Step-by-step explanation:

So to start off you have to turn 20% into a decimal and that is .20.

Next you need to mutiply 225 and .20 and you will get 45 (that means it is $45 off)

Subtract 45 fro 225 and that is your answer.

You now pay $180 for the 20 foot extension ladder.

5 0

3 years ago

5cosx -2sin(x/2) +7=0 Help me to find x step by step pls

miskamm [114]

Answer:

x = 180

Step-by-step explanation:

First, you need to know

1. Double-angle formula:

cos(2x) = $cos^{2}x - sin^{2}x$

2. Pythagorean identity:

$cos^{2}x + sin^{2}x = 1$

Back to your problem, replacing the variable by the above:

$5cosx-sin\frac{x}{2}+7 = 0$

$5(cos^{2}\frac{x}{2}-sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Double-angle formula

$5(1 - 2sin^{2}\frac{x}{2}) - 2sin\frac{x}{2} + 7 = 0$ By Pythagorean identity

Given $y = \frac{x}{2}$

$5(1-2sin^{2}y) - 2siny + 7 = 0$

$10sin^{2}y+2siny-12=0$

$5sin^{2}y+siny-6=0$

$(5siny + 6)(siny - 1)=0$ , we know -1 < sinx < 1, for every x ∈ R

$siny = 1, y =90$

$y = \frac{x}{2}$

$x = 180$

8 0

3 years ago

2/7 (4+c)=6 plz help me I need to get it right

choli [55]

Problem: 2/7 (4+c)=6

1. 7/2 x 2/7 x (4+c)=7/2 x 6

2. 4+c=7 x 3

3. 4+c=21

4. c=21-4

Answer: c=17

7 0

3 years ago

Write in point-slope form an equation of the line that passes through the given point and has the given slope. Point: (4, 8); m

Ainat [17]

Answer:

$\mathsf{y-8=\cfrac{3}{4}(x-4)}$

Step-by-step explanation:

Hi student, let me help you out!

.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. ... ... ..... ........ ...... ... ......... .... ....

First, let's recall the point-slope form equation: ↪ $\mathrm{y-y_1=m(x-x_1)}$ .

where: y₁ = y-coordinate of the point (the second coordinate), m=slope, x₁=x-coordinate (the first coordinate).

Let's stick in the values accordingly. We obtain the following: $\mathrm{y-8=\cfrac{3}{4}(x-4)}$ , which is our point-slope form equation.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

$\star\bigstar\overline{\overline{\underline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star$

$\underline{\rule{300}{4}}$

6 0

2 years ago