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3 years ago

A transformation is applied to the smaller triangle, A, to

Mathematics

1 answer:

Sergio039 [100]3 years ago

8 0

Answer: dilation

Step-by-step explanation:

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A line passes through (1,-1) and (3,5) . What is the equation of the line in slope-intercept form?

Mumz [18]

(1,-1) and (3,5)

Find slope first

y=mx+b

slope is also m

b is y-intercept

slope = y2-y1/x2-x1

x1=1

x2=3

y1=-1

y2=5

5-(-1)/(3)-(1)

6/2=3

y=3x+b

use (1,-1) into y=3x+b ( using substitution method)

-1=3(1)+b

-1=3+b

Move 3 to the other side

Sign changes from +3 to -3

-1-3+3-3+b

b=-4

Answer: C.) Y = 3x-4

3 0

3 years ago

Read 2 more answers

Which number has the same value as 20 tens

barxatty [35]

200 has the same value as 20 tens beucase 20*10=200

4 0

3 years ago

Which property or properties of arithmetic do you use when you calculate 3×70 by first calculating 3×7 = 21 and then putting a z

ANEK [815]

The property used is the Associative property

3 × 70 = 3(70) = 3 (7×10) = (3×7) ×10

The formula is

a × bc = a (bc) = a (b×c) = (a×b) ×c

3 0

3 years ago

f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2

iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4, $\infty$ )

g(x)= $2x^2+8x+6=2(x^2+4x+3)$

$g(x)=0$

$2(x^2+4x+3)=0$

$x^2+4x+3=0$

$x^2+3x+x+3=0$

$x(x+3)+1(x+3)=0$

$(x+1)(x+3)=0$

$x+1=0\implies x=-1$

$x+3=0\implies x=-3$

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

$g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2$

$g(x)=2(x^2+4x)+6$

$g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6$

$g(x)=2(x+2)^2-2$

By comparing with the equation of parabola

$y=a(x-h)^2+k$

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2, $\infty$ )

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0

3 years ago

(5x - 7) + (10x 7) = 180

goldfiish [28.3K]

15x=180
x=12

hope this helps

4 0

3 years ago