Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
Answer:
- D. They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
<em>Refer to attached</em>
The points are plotted and connected to make triangles
As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.
<u>Correct choice is D</u>
- They are similar by the definition of similarity in terms of a dilation.
Answer:
A
Step-by-step explanation:
I think I am not sure I just started to do this in school...
Odd integers are 2 apart
they are
x,x+2,x+4
sum is -75
x+x+2+x+4=-75
3x+6=-75
minus 6 both sides
3x=-81
divide both sides by 3
x=-27
x+2=-25
x+4=-23
the largest is the farthest to right on a number line
largest is -23
Answer:
B) 5 + 17i is your answer.
Step-by-step explanation:
In order to write this equation as a complex number in standard form, you must first simplify each term.
<em>Apple the distributive property.</em>
21 - 4i - 1 * 16 - (7i) + 28i
<em>Multiply -1 by 16.</em>
21 - 4i -16 - (7i) + 28i
<em>Multiply 7 by -1.</em>
21 - 4i - 16 - 7i + 28i
<em>Now simplify by adding terms :)</em>
<em>Subtract 16 from 21.</em>
5 - 4i - 7i + 28i
<em>Subtract 7i from -4i.</em>
5 - 11i + 28i
<em>Add -11i and 28i.</em>
= 5 + 17i
