First we have to combine like terms. 4x² is one term. -8x is another term. -7 is another term. poly = "many" ⇒ polynomial = many terms
(4x² - 8x - 7) + (-5x + 16)
4x² - 8x - 7 - 5x + 16
Combine like terms.
Step 1: 4x² has no other terms with x² so it stays by itself.
Step 2: -8x and -5x are like terms because they both have x.
So -8x -5x = -13x (You put two negatives together)
Step 3: -7 and 16 don't have any x with them. -7 + 16 = 16 - 7 = 9
Now we put all the answers of the steps together.
Step 1: 4x²
Step 2: -13x
Step 3: 9
So the answer is 4x² - 13x +9
And it's a polynomial because there are three terms = "more than one term"
Answer:
The missing figure is attached down
The length of BE is 27 units ⇒ 3rd answer
Step-by-step explanation:
In circle A:
- ∠BAE ≅ ∠DAE
- Line segments A B, A E, and A D are radii
- Lines are drawn from point B to point E and from point E to point D to form secants B E and E D
- The length of B E is 3 x minus 24 and the length of E D is x + 10
We need to find the length of BE
∵ AB and AD are radii in circle A
∴ AB ≅ AD
In Δs EAB and EAD
∵ ∠BAE ≅ ∠DAE ⇒ given
∵ AB = AD ⇒ proved
∵ EA = EA ⇒ common side in the two triangles
- Two triangles have two corresponding sides equal and the
including angles between them are equal, then the two
triangles are congruent by SAS postulate of congruence
∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence
By using the result of congruence
∴ EB ≅ ED
∵ EB = 3 x - 24
∵ ED = x + 10
- Equate the two expressions to find x
∴ 3 x - 24 = x + 10
- Add 24 to both sides
∴ 3 x = x + 34
- Subtract x from both sides
∴ 2 x = 34
- Divide both sides by 2
∴ x = 17
Substitute the value of x in the expression of the length of BE to find its length
∵ BE = 3 x - 24
∵ x = 17
∴ BE = 3(17) - 24
∴ BE = 51 - 24
∴ BE = 27
The length of BE is 27 units
Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
So, let's put the pieces together, the problem should look like this:
Total Pictures = Drew's Pictures + Danielle's Pictures
So let's put in what we know:
77 = X + (17 + 2X)
1st step is to get X to one side:
77 = X + 17 + 2X
-17 - 17
=> 60 = X + 2X
=> 60 = 3X
Now that X is on one side, the 2nd step is to get X to be alone:
60/3 = 3X/3 (We have to divide to each side because the answer is equal)
20 = X
So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.
Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57
So Danielle took 57 pictures
2/5 is the answer if you want a explanation pls ask me
Answer:
i only understand part A:
a) Yes, the more time the plant spend in sunlight, the taller it grows. for example, the plant that spend no time in the sun only grows to 4cm while the plant that spent 9 hours in the sun grew to 31
