If you use an app called Socratic, take a photo of the questions and it will show you how to work it out and the answer and etc.
Answer:
Yes
Step-by-step explanation:
The way the equation is written in point-slope form is:
The way we write an equation in slope-intercept form is:
We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:
where 
which is now in slope intercept form.
Answer:
the greatest common factor of 12 and 18 is 6.
Step-by-step explanation
GCF of 18 and 32 = 2.
GCF of 21 and 84 = 21.
GCF of 36 and 100 = 4.
GCF of 12 and 48 = 12.
GCF of 18 and 35 = 1.
GCF of 18 and 63 = 9.
GCF of 48 and 56 = 8.
Answer:
a-bi
Step-by-step explanation:
If a quadratic equation lx^2+mx+n=0 has one imaginary root as a+bi then the other root is the conjugate of a+bi = a-bi
Because we have l, m and n are real numbers and they are the coefficients.
Sum of roots = a+bi + second root = -m/l
When -m/l is real because the ratio of two real numbers, left side also has to be real.
Since bi is one imaginary term already there other root should have -bi in it so that the sum becomes real.
i.e. other root will be of the form c-bi for some real c.
Now product of roots = (a+bi)(c-bi) = n/l
Since right side is real, left side also must be real.
i.e.imaginary part =0
bi(a-c) =0
Or a =c
i.e. other root c-bi = a-bi
Hence proved.
Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
-
A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298
