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2 years ago

Please answer the question :(

Mathematics

2 answers:

Eva8 [605]2 years ago

8 0

Answer:

y = (- 4/3) x + 2

Step-by-step explanation:

Remark

The y intercept is (0,2)

The other point is you could use is (3,-2)

First find the slope

The two given points are (0,2) and (3,-2)

Givens

y2 = - 2

y1 = 2

x2 = 3

x1 = 0

Formula

m = (y2 - y1)/(x2 - x1)

Solution for m

m = (-2 - 2)/(3-0)

m = -4/3

Solution for the line

m = - 4/3

y intercept = 0,2

y = mx + b

y = (- 4/3) x + 2

satela [25.4K]2 years ago

7 0

ANSWER:
y = -4/3x + 2

EXPLANTION:
The line is going down, so that’s means the slope is negative.
The line goes down 4 and right 3 that means the slope is 4/3
The line cross positive 2 on the y-intercept (0,2), so 2 is the y intercept.
Putting these information together is your answer :)

FUN FACT:
These are the 4 types of slopes

I hoped this help and have a *AMAZING* day :3

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KiRa [710]

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3 years ago

Read 2 more answers

According to these three facts, which statements are true?

sveticcg [70]

We have that

1)Circle W has center (−3, 0) and radius 8
the equation of a circle W is
(x+3)²+(y)²=8²

2)Circle V is a translation of circle W, 2 units down.
the center of circle V--------> (-3,0-2)---------> (-3,-2)

3)Circle V is a dilation of circle W with a scale factor of 2.
then the radius circle V is 8*2------> 16 units
the equation of a circle V is
(x+3)²+(y+2)²=16²

therefore

case A. Circle V and circle W are similar.---------> is correct
because I can transform circle V to circle W using only translations, rotations and scaling (In the case of circles, no rotations are necessary).

case B. Circle V and circle W have the same center.-------> is not correct

case C. The radius of circle V is 16.-----------> is correct

case D. The center of circle V is (−5, 0).----------> is not correct

the answer is
 case A. Circle V and circle W are similar.---------> is correct
case C. The radius of circle V is 16.-----------> is correct

3 0

3 years ago

Two triangles have bases with lengths 5in and 8in.

Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by $A_{1}$ , and that of the larger triangle by $A_{2}$ .

Area of a triangle = $\frac{1}{2}$ x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

$\frac{area of the smaller triangle}{area of the larger triangle}$

Area of smaller triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 5 x h

= $\frac{5}{2}$ h

Area of the lager triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 8 x h

= 4h

So that;

Ratio = $\frac{\frac{5}{2}h }{4h}$

= $\frac{5}{8}$

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

$\frac{area of the smaller triangle}{area of the larger triangle}$ = $\frac{5}{8}$

$\frac{15}{A_{2} }$ = $\frac{5}{8}$

5 $A_{2}$ = 15 x 8

= 120

$A_{2}$ = $\frac{120}{5}$

= 24

The area of the larger triangle is 24 in².

7 0

2 years ago

Evaluate the expression 3log3(6) and simplify it completely

Bond [772]

Gg easy

some properties
alogₓb=logₓbᵃ
logₐaˣ=x
logₐa=1
log(ab)=loga+logb
logₐx=y means a^y=x

3log₃6=log₃216=log₃(2³ times 3³)=log₃(2³)+log₃(3³)=log₃(8)+3

answer is log₃(8)+3 or 3(log₃(3)+1)

3 0

3 years ago

Slope-intercept from two points Complete the equation of the line through (-8.8) and (1,-10).

Andrei [34K]

Answer:

y=− 2x−8 is the equation

Step-by-step explanation:

equation for slope is y=mx+b the y intercept is -8 and the slope is -2

5 0

3 years ago