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lions [1.4K]
3 years ago
9

Write equivalent expressions for x-7.x-2 and x7\x2

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
The first one is 
-6x-2

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What are some ways you can make a rectangle 10,000 cm squared (I NEED A AWNSER QUICK)​
lidiya [134]

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

8 0
3 years ago
For the parallelogram ABCD the extensions of the angle bisectors AG and BH intersect at point P. Find the area of the parallelog
natita [175]

Answer:

The area of a parallelogram is 360 in.²

Step-by-step explanation:

Where DG = GH

GP = 12 in.

AB = 39 in.

∠DAB + ∠ABC = 180° (Adjacent angles of a parallelogram)

Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

Therefore, ∠GAB + ∠HBA = 90°

Hence, ∠BPA = 90° (Sum of interior angles of a triangle)

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{AP}{39} = \dfrac{GP}{GH} =\dfrac{12}{GH}

We note that ∠AGD = ∠GAB (Alternate angles of parallel lines)

∴ ∠AGD = ∠AGD since ∠AGD = ∠GAB (Bisected angle)

Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ  ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

Hence, AP = 3 × GP = 3 × 12 = 36

cos(\angle GAB) = \dfrac{AP}{AB} = \dfrac{36}{39}

\angle GAB = cos^{-1} \left (\dfrac{36}{39}  \right )

∠GAB = 22.62°

cos(\angle GAB) =  \dfrac{36}{39} = \dfrac{12}{GH}

GH =  \dfrac{39}{36} \times {12}

GH = 13 in.

∴ AD 13 in.

BP = 39 × sin(22.62°) = 15 in.

GH = √(GP² + HP²)

∠DAB = 2 × 22.62° = 45.24°

The height of the parallelogram = AD × sin(∠DAB) =  13 × sin(45.24°)

The height of the parallelogram = 120/13 =  9.23 in.

The area of a parallelogram = Base × Height = (120/13) × 39 = 360 in.²

7 0
3 years ago
Read 2 more answers
Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlo
AleksAgata [21]

Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)

              ii) Then p=(2/3) as n=8

              iii) 0.06828

Step-by-step explanation:

Use binomial distribution:

Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.

Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.

So for 3 out of 8, it means x=3 and n=8.  

Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828

7 0
3 years ago
lf the owner has $700 to spend on trees, how many can he purchase? Show or explain your work. Based on the table, what will be t
gavmur [86]

Answer: I need the table to be able to answer

5 0
3 years ago
I have no idea how to do this, can someone please help?
Sveta_85 [38]
Assume your line starts at zero, your first point is (-3,5) meaning your have a slope of 5/-3
[ f(x) = 5/-3x + b] 
4 0
3 years ago
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