Choose the equation below that represent the line passing through the point (-2,-3) With a slope of -6
2 answers:
Answer:
The equation of line is (y+3)=-6(x+2).
Step-by-step explanation:
It is given that the line passing through the point (-2,-3) with a slope of -6.
If a line passes through a point , then point slope form of the line is
where, m is slope of the line.
Substitute and m=-6 in the above equation.
On simplification we get
Therefore the equation of line is (y+3)=-6(x+2).
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Answer:
" Vertical angles are congruent " ⇒ 2nd answer
Step-by-step explanation:
* <em>Look to the attached figure </em>
- There are three lines intersected at point D
- We need to find the missing in step 3
∵ Line FA intersects line EC at point D
- The angles formed when two lines cross each other are called
vertical angles
- Vertical angles are congruent (vertical angles theorem)
∴ ∠ADC and ∠FDE are vertical angles
∵ Vertical angles are congruent
∴ ∠EDF ≅ ∠ADC
∴ m∠EDF ≅ m∠ADC
∵ m∠EDF = 120° ⇒ given
∵ m∠ADC = m∠ADB + m∠BDC
∴ m∠ADB + m∠BDC = 120°
∵ m∠ADB = (3x)° ⇒ given
∵ m∠BDC = (2x)° ⇒ given
∴ 3x + 2x = 120 ⇒ add like terms
∴ 5x = 120 ⇒ divide both sides by 5
∴ x = 24
Column (1) Column (2)
m∠EDF = 120° given
m∠ADB = 3 x given
m∠BDC = 2 x given
∠EDF and ∠ADC are vertical angles defin. of vert. ∠s
∠EDF is congruent to ∠ADC vertical angles are
congruent
m∠ADC = m∠ADB + m∠BDC angle add. post.
m∠EDF = m∠ADC defin. of cong.
m∠EDF = m∠ADB + m∠BDC substitution
120° = 3 x + 2 x substitution
120 = 5 x addition
x = 24 division
∴ The missing reason is " vertical angles are congruent "
- From the explanation above ∠ADC and ∠FDE are vertical
angles then they are congruent according to vertical angle
theorem
Answer:
Step-by-step explanation:
2 + m
Rewrite with variable first.
m + 2
m + 2
Can’t be simplified further.
m - (-2)
Distribute negative sign.
m + 2
-2-m
Rewrite with variable first.
-m - 2
The last expression is not equivalent to m+2.
Answer:
The number of cake for order is 15 cakes .
Step-by-step explanation:
Given as :
Total number of people to attend the dance = x = 60
The number of slices each person will eat = A = 2 slices
The number of slices per cake = y = 8 slices
Let The number of cake for order = z
<u>Now, According to question</u>
Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat
i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A
Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices
Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices
<u>Again</u>
∵ number of slices per cake = 8
∴ The number of cake for order =
Or, z =
i.e z =
∴ z = 15 cakes
So,The number of cake for order = z = 15 cakes
Hence,The number of cake for order is 15 cakes . Answer