Answer: x-intercept is (4,0) and the y-intercept is (0,10)
Step-by-step explanation:
Answer:
A reflection in the line y = -2, then a translation 2 units right.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Rigid transformation are transformation that preserves the shape and size of the object. Rotation, reflection, translation are rigid transformation whereas dilation is not a rigid transformation.
Any transformation regarding dilation changes the side length of the object and hence the area.
From the question, only one option is right. The rest options are not right because they involve dilation. The correct option is:
A reflection in the line y = -2, then a translation 2 units right.
First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.
Linear function has a form of,
Then calculate the slope <em>m</em> using the coordinates of two points. Let say <em>A(x1, y1)</em> and <em>B(x2, y2)</em>,
Now pick a point either <em>A</em> or <em>B</em> and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point <em>A</em>.
From here you solve the equation for n,
So you have slope <em>m</em> and variable <em>n</em> therefore you can write down the equation of the line,
Hope this helps.
r3t40
Answer:
29,750
Step-by-step explanation:
Each year the population is multiplied by 100% + 4% = 1.04. We want to repeat that multiplication 15 times, once for each of the 15 years. An exponent is what we use to signify (and compute) repeated multiplication. The population will be ...
16,519 × 1.04^15 ≈ 29749.8 ≈ 29,750
Answer:
-12p^7q^9
Step-by-step explanation:
(-2/3Pq^4)^2×(-27P^5q)
= ((-2)^2)/3^2 × P^2 q^4-2 × (-27qp^5)
= ((-2)^2)/3^2 × 27p^7q9
= (((-2)^2 x 27p^7q9)/3^2
= -((4×27p^7q^9)/9)
= -(108p^7q^9)/9
= -12p^7q^9
