Answer:
= 12
Step-by-step explanation:
{ 3 ×
- 3 } -3 × 4
Solve the brackets first
{3 × 9 - 3 } -3 × 4
{ 27 -3 } -3 × 4
24 - 3 × 4
24 - 12
= 12
Answer(1):
Given that h(y)=2y-7.
h(8) means plug y=8 into h(y)=2y-7.
h(8)=2*8-7=16-7=9
Hence C) 9 is the final answer.
Answer 2:
(7/8) = (m/32)
to solve for m, we begin by cross multiply
8m=7*32
8m=224
m=28
Hence choice C) 28 is final answer.
Reflection symmetry occurs when a line is drawn to divide a shape in halves so that each half is a reflection of the other.
Rotational symmetry is to check if the given picture is symmetric after some rotation.
Answer 3:
Letter "E" will have
B) the letter has reflection symmetry only
So B) is correct.
Answer 4:
Which statement is true?
Letter "Z" will have
B) the letter has rotation symmetry only
Hence B) is correct.
Answer 5:
Letter "X" will have
A) the letter has both reflection and rotation symmetry
Hence A) is correct.
Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:


I'm going to solve
for x using the quadratic formula:







Let's see if uv=u+v holds.

Keep in mind you are multiplying conjugates:



Let's see what u+v is now:


We have confirmed uv=u+v for k=2.
Answer:
ΔEFG is an isosceles triangle.
Step-by-step explanation:
Given:
E (0, 0),
F (−7, 4),
G (0, 8)
ΔEFG
Solution:
Distance formula
Distance d = 
Step 1: Finding the length of EF
By using distance formula,



Step 2: Finding the length of FG
By using distance formula,

Step 2: Finding the length of GE

Thus we could see that the sides EF = FG
So it is a isosceles triangle.
Answer:6√3
Explanation:Before we begin, remember the following:
Now, for the given:75 can be written as 25*3
This means that:

Applying the above concept, we can find that:

Now, we know that:
√25 = 5 (we ignored the negative value)
This means that:
√75 = 5√3
Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3
Hope this helps :)