Answer:
A and B.
Step-by-step explanation:
<h3>To get to know the graph with least slope, we have to write all equations in the form <u>y=mx + c.
</u></h3>
where m is the slope and c is the the y-intercept.
A. y = x + 6
For this equation m = 1
B. y = -x - 9
For equation B, m = -1
C. y = 2x + 1
In this equation, m = 2
D. y = -7x - 2
In equation D, m = -7
The equation with the highest slope is D while the one with the least slope/steep is <em>A and B.</em>
Answer:
11 cups of dough
Step-by-step explanation:
1 cup x 11 dumplings = 11 cups of dough needed
Answer:
7 square units
Step-by-step explanation:
As with many geometry problems, there are several ways you can work this.
Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.
The applicable formulas are ...
area of a trapezoid: A = (1/2)(b1 +b2)h
area of a triangle: A = (1/2)bh
So, our areas are ...
AQRS = AWSQE - AWSR - AEQR
= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)
Factoring out 1/2, we have ...
= (1/2)((2+5)·4 -2·2 -5·2)
= (1/2)(28 -4 -10) = 7 . . . . square units
Answer:
Common ratio is 3
The three terms are 162, 486, 1458
Step-by-step explanation:
Given: The first 4 terms of a sequence are 
To find:
A. the common ratio
B. the next 3 values in the geometric sequence
Solution:
Geometric sequence is a sequence in which each of the terms is obtained by multiplying the previous term by a fixed number.
A.
So, the common ratio is 
B.
The next three values are as follows:
Answer:
14 1/2
Step-by-step explanation:
Rewriting our equation with parts separated
=7 + 7/8 + 6 + 5/8
Solving the whole number parts
7 + 6=13
Solving the fraction parts
7/8 + 5/8= 12/8
Reducing the fraction part, 12/8,
12/8=3/2
Simplifying the fraction part, 3/2,
3/2=1 1/2
Combining the whole and fraction parts
13 + 1 + 12=14 1/2
