Answer:
y= 2x - 5 equation has a slope of 2 and a y intercept of -5
Step-by-step explanation:
Given:
The slope = 2
Intercept of y = -5
To Find:
The equation of the line = ?
Solution:
The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
The equation of the line in the slope intercept form is
y = mx+b
where
m is the slope
b is the y intercept
Now substituting the given values we get
y = (2)x + (-5)
y= 2x - 5
Answer:
1). Area = 37 cm²
2). Area = 120 cm²
Step-by-step explanation:
Figures in the picture attached are the examples of composite figures.
1). Area of the composite figure = Area of rectangle A + Area of rectangle B
Since area of rectangle = Length × width
Area of rectangle A = 8 × 2 = 16 cm²
Area of rectangle B = 3 × 7 = 21 cm²
Area of the composite figure = 16 + 21 = 37 cm²
2). Area of the composite figure = Area of C + Area of D
= (3×4) + (9×12)
= 12 + 108
= 120 cm²
Answer:
A. By SAS only
Step-by-step explanation:
Side Side Side postulate (SSS) states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In triangles ABC and AED:
- sides ACand AD are congruent (from the diagram);
- angles BCA and EDA are congruent (given);
- sides BC and ED are congruent (from the diagram).
So, SAS postulate can be applied.
SSS postulate cannot be applied, because it is not given that sides AB and AE are conruent.
Answer:
its A 23
Step-by-step explanation:
