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MaRussiya [10]
2 years ago
5

HELP QUICK!! solve by substitution and show work please

Mathematics
1 answer:
madam [21]2 years ago
7 0

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:



x= 1, y= -4

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Find the distance between the pair of points: (1,3) and (-6, -6).<br><br>distance : ?​
uysha [10]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{130}  \:  \:  units}}}}}

Step-by-step explanation:

Let the points be A and B

Let A ( 1 , 3 ) be ( x₁ , y₁ )and B ( -6 , -6 ) be ( x₂ , y₂ )

<u>Finding </u><u>the </u><u>distance</u><u> </u><u>between </u><u>these</u><u> </u><u>points</u>

\boxed{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}

\longrightarrow{ \sf{ \sqrt{ {( - 6 - 1)}^{2} +  {( - 6 - 3)^{2}  } }}}

\longrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} +  {( - 9)}^{2}  } }}

\longrightarrow{ \sf{ \sqrt{49 + 81}}}

\longrightarrow{ \sf{ \sqrt{130}}} units

Hope I helped!

Best regards! :D

6 0
3 years ago
MATH!!! I HAVE NO IDEA HOW TO DO THIS PLEASE SHOW ME THE WORK I WANNA KNOW HOW TO DO THIS FOR THE NEXT QUESTION!!!!​
zimovet [89]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

Sorry I'm late!

Step-by-step explanation:

<em>Formula ⇒ </em>A = \frac{1}{2}bh

A = \frac{1}{2}bh

A = \frac{1}{2}(5)(7)

A = \frac{1}{2}(35)

A = 17.5

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I hope this helps!

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6 0
3 years ago
Please help I am terrible at algebra
Marina CMI [18]

Answer:

y = (x-0)^2 + (-5)  ⇒ y = x^2 - 5

Step-by-step explanation:

The general vertex form of the parabola  y = a(x - h)² + k

Where (h,k) is the coordinates of the vertex.

As shown at the graph the vertex of the parabola is the point (0, -5)

So,

y = a(x-0) + (-5)

y = ax^2 - 5

To find substitute with another point from the graph like (1,-4)

So, at x = 1 ⇒ y = -4

-4 = a * 1^2 - 5

a = -4 + 5 = 1

<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>

6 0
3 years ago
Instructions: The following is the recorded earthquakes on South Carolina from August, 2016 to February, 2017. Use the data to f
Ratling [72]

Answer:

Step-by-step explanation:

Residual (Round to nearest tenth)1. 7 Answer1. 1 Answer1. 4 Answer0. 7 Answer0. 8 Answer1. 9 Answer1. 7 Answer1. 9 Answer1. 9 Answer1. 1 Answer

6 0
1 year ago
Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes thro
Mazyrski [523]

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

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3 years ago
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