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Nikolay [14]
3 years ago
12

Find the values of x and y 6 45° х y

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0

Answer:

c

Step-by-step explanation:

answer is c on edge

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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 }}}

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⇒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}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
2 years ago
Read 2 more answers
Těžnice je úsečka spojující vrchol trojúhelníku se středem protější stran. Ano NE
Luda [366]
Can you speak English and I may be able to help you
4 0
3 years ago
What polygon has a measure of 1080
DedPeter [7]
If it is equal on all side divide 1080 by how many sides there are otherwise more info pls
3 0
3 years ago
Hi :((( please help me solve questions 2 and 3 (the image below)
Marianna [84]

Answer:

See below

Step-by-step explanation:

Question 2:

A relation is a function if every different x-value has a y-value. Since this relation has two outputs for x = 4 (1 and 9), it is NOT a function.

Question 3:

Plug the three points listed (-1, 0, 1) into the function and get their outputs. This will be the range.

f(x) = 2x + 4

Plug in -1.

f(-1) = 2(-1) + 4

f(-1) = -2 + 4

f(-1) = 2

f(x) = 2x + 4

Plug in 0.

f(0) = 2(0) + 4

f(0) = 4

f(x) = 2x + 4

Plug in 1.

f(1) = 2(1) + 4

f(1) = 2 + 4

f(1) = 6

This makes the range {2, 4, 6}.

8 0
3 years ago
Which graph represents the solution set for –4(1 – x) ≤ –12 + 2x?
padilas [110]

-4(1-x)\leq-12+2x\qquad\text{use distributive property}\\\\(-4)(1)+(-4)(-x)\leq-12+2x\\\\-4+4x\leq-12+2x\qquad\text{add 4 to both sides}\\\\4x\leq-8+2x\qquad\text{subtract 2x from both sides}\\\\2x\leq-8\qquad\text{divide both sides by 2}\\\\\boxed{x\leq-4}

5 0
3 years ago
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