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3 years ago

Y = -x + 2 slope = y-intercept=

Mathematics

1 answer:

yan [13]3 years ago

6 0

Answer:

Slope = - 1

y-intercept = 2

Step-by-step explanation:

$y = - x + 2 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = - 1 \\ y - intercept \: (b) = 2$

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Took recovery need to know what answer is

Tatiana [17]

Answer:

6 in.

Step-by-step explanation:

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3 years ago

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In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your a

pishuonlain [190]

Applying the trigonometry ratios, we have:

a. CD = 63.6

b. CD = 33.8

c. CD = 16.1

d. CD = 15.9

<h3>What are the Trigonometry Ratios?</h3>

The trigonometry ratios are used to find a length or angle in any right triangle. They are:

SOH, which is sin ∅ = opp/hyp
CAH, which is cos ∅ = adj/hyp
TOA, which is tan ∅ = opp/adj

a. ∅ = 32°

hyp = 75

adj = CD

Apply CAH:

cos 32 = CD/75

CD = cos 32 × 75

CD = 63.6

b. ∅ = 56°

opp = 28

hyp = CD

Apply SOH:

sin 56 = 28/CD

CD = 28/sin 56

CD = 33.8

c. ∅ = 43°

opp = 15

adj = CD

Apply TOA:

tan 43 = 15/CD

CD = 15/tan 43

CD = 16.1

d. ∅ = 27°

hyp = 35

opp = CD

Apply SOH:

sin 27 = CD/35

CD = sin 27 × 35

CD = 15.9

Learn more about the trigonometry ratios on:

brainly.com/question/10417664

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3 years ago

The value of x is?<br> 84<br> 96<br> 132<br> 264<br> HELPPPP!!!!

Alexandra [31]

The 3 outside angles of a triangle need to equal 360 degrees.

To find X, subtract the 2 outside angles shown from 360.

X = 360 - 130 - 134 = 96

The answer is 96

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3 years ago

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Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$