Y=4.7x+2.1
v=1.6x-5.4
=
(x, y) = ( -75/31, - 1437/155)
Based on the distance formula, the distance between points (3, 7) and (x1, y) is:
. SO, it is TRUE.
<h3>What is the Distance Formula?</h3>
The distance formula which can be applied to find the distance between two coordinate points is:
.
Given the points:
(x1, y1)
(3, 7) = (x2, y2)
Substitute

Therefore, the statement that says the distance between points (3, 7) and (x1, y) =
, is TRUE.
Learn more about the distance formula on:
brainly.com/question/661229
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To start to solve this problem, we need to know what vertex form is. The vertex form of a parabola is. The vertex form of a parabola is a(x-h) + k, where k is the vertical shift, h is the horizontal shift, and a is the value that tells the stretch.
To start to solve this equation, we want to start to create a difference of two squares.
y = 2(x²+
x) We do this step to make the x² have a coefficient of 1
Now, we want to complete the square. To complete the square, we take 1/2 of the coefficient of x, and then square that.
1/2 * 1/2 = 1/4, and 1/4²=1/16
That means that we need to add 1/16 inside and outside the parenthesis.
We get:
y = 2(x²+1/2x + 1/16) - 1/16*2
We do -1/16*2 on the outside because since we added it inside the parenthesis, we need to take it away somewhere else (if that makes sense). The two is there because there is a two in front of the parenthesis.
We get:
y = 2(x+1/4)² - 1/8, by completing the square and simplifying, and this is the final answer.
Step-by-step explanation:
By Descartes' Rule of Signs, f(x) = -3x³ + 8x² - 7x + 10 changes sign 3 times, so there are 1 or 3 positive roots.