Slope-intercept form of a line:
y=mx+b
m=slope
We have this equation of a line:
y=2x+3
The slope of the line will be; m=2
Ohter line that is parallel to this line(y=2x+3) will have the same slope, therefore the slope will be: m=2
Point-slope form: we need a point (x₀,y₀) and the slope:
y-y₀=m(x-x₀).
We have thel point (-4,1) and the slope:
therefore:
y-1=2(x+4) (point-slope form)
y-1=2x+8
y=2x+8+1
y=2x+9 (slope-intercept form).
answer: the equation of the line that is parallel to this line y=2x+3 , is:
y=2x+9
Answer: Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
Step-by-step explanation:
Here is the complete question
Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?
A. Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
B. Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
C. Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
D. Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.
For the figures to make up a triangle, the addition of the square of the two smaller sides must be equal to the square of the larger side. The Pythagoras rule is used.
The figures here are 9, 13 and 15. So let's yes to confirm.
9^2 + 13^2 = 15^2
81 + 169 = 225
250 = 225
Since the two figures are not equal, it is incorrect no triangles can be drawn from the length.
Answer:
7 T-Shirts
Step-by-step explanation:
Given:
100 Dollar
30 = sweater
42 = Jeans
4 each = t-shirts
Solution:
30+42 = 72
100-72 = 28
28/4=7
Therefore she can buy 7 T-Shirts.
Answer:
no seeeeeee hablar inglés pero quiero ayudar pero como hablas inglés no puedo lo siento pero si sabes español dime que escribiste ok