2. the ans is C because 3 sides in option C keep the same ratio as the 3 sides of triangle NOP: 7.5/5=1.5, 10.5/7=1.5 and 13.5/9=1.5
3. the ans is D
just see from the point Q(16,4), after the first dilation, the x-coordinate of Q=16*0.25=4, then by subtracting 4 from the x-coordinate of point T (i.e. -2-4=-6), then you can see only option D has the x-coordinate (x-6), so it shows that it is the ans
4. i dont know about this.. sorry :(
The area of the new rug is
x² + 2x - 15
Since
A = l x w
The new rug is 3 in shorter than her old rug, so we divide the area by (x - 3)
(x² + 2x - 15) / (x - 3)
By factoring
(x - 3)(x + 5) / (x - 3)
Cancelling out terms
x + 5
The width is 5 inches wider
Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees
The complete statements are:
- For the single roots -1 and 2, the graph crosses the x-axis at the intercepts.
- For the double root 3, the graph touches the x-axis at the intercepts.
<h3>Missing part of the question</h3>
Complete the blanks for the function f(x) = (x + 1)(x-2)(x - 3)²
<h3>How to fill in the blanks?</h3>
The function is given as:
f(x) = (x + 1)(x-2)(x - 3)²
Express as products
f(x) = (x + 1) * (x-2) * (x - 3)²
Include the multiplicities
f(x) = (x + 1)¹ * (x-2)¹ * (x - 3)²
The factors that have a multiplicity of 1 are single roots, while the ones with multiplicity of 2 are double roots.
This means that:
- 1 multiplicity = x + 1 and x - 2
- 2 multiplicity = x - 3
The graph crosses the x-axis at 1 multiplicity and it touches the x-axis at 2 multiplicity
Hence, the terms that complete the blanks are crosses and touches, respectively
Read more about polynomials at:
brainly.com/question/4142886
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