Please hep me solve picture below thank uou

Mathematics

2 answers:

lord [1]1 year ago

8 0

Answer:

x= -1, -13

Step-by-step explanation:

Ipatiy [6.2K]1 year ago

5 0

Answer: x=-13 x=-1

Step-by-step explanation:

$x^2+14x=-13\\x^2+2(x)(7)+7^2-7^2=-13\\(x^2+2(x)(7)+7^2)-49=-13\\(x+7)^2-49=-13\\(x+7)^2-49+49=-13+49\\(x+7)^2=36$

$(x+7)^2-36=36-36\\(x+7)^2-36=0\\(x+7)^2-6^2=0\\(x+7+6)(x+7-6)=0\\(x+13)(x+1)=0\\x+13=0\\x+13-13=0-13\\x=-13\\x+1=0\\x+1-1=0+(-1)\\x=-1$

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What is the approximate length of the hypotenuse of a right triangle with vertices (-6, 2),

muminat

Answer:

Step-by-step explanation:

A(-6, 2), B(6,-3) and C(-6, -3)

AB² = (x₂ - x₁)² + (y₂ - y₁)²

= ( 6 -[-6])² + ( -3 -2)²

= ( 6 + 6)² + ( -3 -2)² = 12² + (-5)² = 144 + 25 =169

AB = √169 = 13 units

BC² = ( -6 -6)² + ( -3 - [-3])² = (-6-6)² + (-3 +3)²

= (-12)² + 0 = 144

BC = √144 = 12 unis

CA² = (-6 - [-6])² +(-3-2)² = (-6 + 6)² + ( -3-2)²

= 0 + (-5)² = 25

CA =√25 = 5 units

length of the hypotenuse of a right triangle = 13units

4 0

3 years ago

50 POINTS!!!!! HELPFor the exponential function f(x)=a^x,a>0,a≠1 what is the domain? what is the range?

White raven [17]

I have included a graph to help you see what the domain and range would be
There are no minus y values.
0<y< infinity y is included in the reals.
The domain is
- infinity < x < infinity.

I don't want to say that either x or y can equal - or + infinity. Some teachers allow it. You have to ask your instructor what they will accept.

The blue line is y = 4^x
The red line is y = 2^x