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Brums [2.3K]
2 years ago
8

jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at le

ast 6 miles by the end of the week. Which inequality represents the least number of days after monday that jayce needs to run to reach his goal?
Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer:

Step-by-step explanation:

6 < 2 1/2 + 1 1/3R

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Use the Pythagoras' Theorem:

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400+ 1225=1625=C^2

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the verticales of triangle XYZ are X(-3,-6),Y(21,-6),and Z(21,4). What is the perimeter of the triangle​
andrezito [222]

Answer:

<h2>P = 60</h2>

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

X(-3, -6), Y(21, -6). Substitute:

XY=\sqrt{21-(-3))^2+(-6-(-6))^2}=\sqrt{24^2+0^2}=\sqrt{24^2}=24

X(-3, -6), Z(21, 4). Substitute:

XZ=\sqrt{(21-(-3))^2+(4-(-6))^2}=\sqrt{24^2+10^2}=\sqrt{576+100}=\sqrt{676}=26

Y(21, -6), Z(21, 4). Substitute:

YZ=\sqrt{(21-21)^2+(4-(-6))^2}=\sqrt{0^2+10^2}=\sqrt{10^2}=10

The perimeter of the triangle XYZ:

P_{\triangle XYZ}=XY+XZ+YZ

Substitute:

P_{\triangle XYZ}=24+26+10=60

6 0
3 years ago
Determine for what values of x and y are the following equalities always true.
Agata [3.3K]
(k+1)x-(2k+3)y-3k-5=0
kx + x - 2ky - 3y - 3k - 5 = 0
(x - 2y) k + (x - 3y) = 3k + 5

therefore
x - 2y = 3
x - 3y = 5

Subtract 2 equations
y = -2
x = -1
3 0
3 years ago
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