The y-intercept is basically the value of the output of the function, g(x), when x=0.
Let's replace g(x) with the variable y to make this look a bit simpler.
2y + 3x = 6
Now, we enter the value of x=0 to get the y-intercept.
2y + 0 = 6
2y = 6
Divide both sides by 2
y = 3
The value of y is 3. Now enter the values of x=0 and y=3 into point-form (x,y) to get (0,3). You should know which answer choice to choose now.
Have an awesome day!
Answer:
- hexahedron: triangle or quadrilateral or pentagon
- icosahedron: quadrilateral or pentagon
Step-by-step explanation:
<u>Hexahedron</u>
A hexahedron has 6 faces. A <em>regular</em> hexahedron is a cube. 3 square faces meet at each vertex.
If the hexahedron is not regular, depending on how those faces are arranged, a slice near a vertex may intersect 3, 4, or 5 faces. The first attachment shows 3- and 4-edges meeting at a vertex. If those two vertices were merged, then there would be 5 edges meeting at the vertex of the resulting pentagonal pyramid.
A slice near a vertex may create a triangle, quadrilateral, or pentagon.
<u>Icosahedron</u>
An icosahedron has 20 faces. The faces of a <em>regular</em> icosahedron are all equilateral triangles. 5 triangles meet at each vertex.
If the icosahedron is not regular, depending on how the faces are arranged, a slice near the vertex may intersect from 3 to 19 faces.
A slice near a vertex may create a polygon of 3 to 19 sides..
Complete Question:
Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.
Answer:
n = 696
Step-by-step explanation:
Sample size = 125
number of students out of the 125 that like Pizza = 58
Probability that a student will like pizza, P = 58/125
P = 0.464
Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:
n = 100 * P
n = 1500 * 0.464
n = 696
Answer:

Step-by-step explanation:
We have been provided a graph of a triangle and we are asked to find the length of segment DE.
Angle bisector theorem states that if a ray bisects an angle of a triangle, then it bisects the opposite side of triangle into segments that are proportional to other two sides.
By angle bisector theorem we can set proportions of the given sides as:

Upon substituting our given values in above proportion we will get,

Upon multiplying both sides of our equation by 2 we will get,



Therefore, the length of segment DE is 4 units.