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3 years ago

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Mathematics

2 answers:

Juliette [100K]3 years ago

4 0

Y + 1 = -3(x - 5)
y + 1 = -3x + 15
y = -3x + 15 - 1
y = -3x + 14 <== or f(x) = -3x + 14

LenaWriter [7]3 years ago

4 0

Y+1= -3(x+5) in order to solve first write down the function, then find the current of the function.

Y+1=-3x-15 then this is the current of the function. Multiply the -3 times the X and the 5.

Y=-3x-14 finally this is the slope. To get the slope I added the 1 to the -15

Final answer= Y=3x+14

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Read 2 more answers

Find the real solutions of the equati<br> √7x+1 - √x-5 = 6

Juliette [100K]

The solution of this equation is x = 5 and x = 9.

<h3>What is the solution?</h3>

Let us recall that what we have here is a radical equation as follows;

√7x+1 - √x-5 = 6

When we isolate we have';

√7x+1 = √x-5+6

Taking the square of both sides;

(√7x+1)^2 = (√x-5+6)^2

Hence;

7x+1 = x-5+36+12√x-5

-12√x-5 = -7x-1+x-5+36

12√x-5 = 6x-30

Raising this equation to power 2

144x-720 = 36x^2-360x+900

When we rearrange we obtain;

36x2 - 504x + 1620 = 0

Hence;

x = 5 and x = 9

Learn more about radical equation:brainly.com/question/8606917

#SPJ1

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1 year ago

9.01 prove that the two circles are similar

il63 [147K]

Answer:

see the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.

In this problem to prove circle C and circle A are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle C is centered at (0,-1) and has a radius of 2 units

Circle A is centered at (3,4) and has a radius of 5 units

step 1

Move the center of the circle C onto the center of the circle A

the transformation has the following rule

(x,y)--------> (x+3,y+5)

(0,-1)------> (0+3,-1+5)-----> (3,4)

center circle C is now equal to center circle A

The circles are now concentric (they have the same center)

step 2

A dilation is needed to increase the size of circle C to coincide with circle A

scale factor=radius circle A/radius circle C-----> 5/2=2.5

radius circle C will be=2*scale factor-----> 2*2.5=5 units

radius circle C is now equal to radius circle A

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

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3 years ago