We know that the temperature to start off is 35, so in an equation y=mx+b with x representing the time in hours , m being the slope, and y being the temperature, when x=0 we have y=b, and since the temperature is 35 at the start, y=36=b, making our equation y=mx+35. Next, since we lose 4 degrees every hour, we have the slope, or the change in temperature every hour, equal to -4, making our equation y=-4x+35. We want to find out how long it will take for the temperature to reach -1 degrees, so we plug -1 in for y (temperature) to get -1=-4x+35. Subtracting 35 from both sides using the subtraction property of equality, we get -36=-4x. Next, we divide both sides by -4 to get 9=x=how many hours it will take to reach -1 degrees
Answer:
41
Step-by-step explanation:
76, x and 63 are linear pair angles.
Sum of linear pair angles is 180,
76 + x + 63 = 180
x + 76 + 63 = 180
x + 139 = 180
x = 180 - 139
x = 42
The answer is 6 since the legs should be the same in a 45 45 90 triangle
Answer:
Step-by-step explanation:
v(5v-7)=0
We multiply parentheses
5v^2-7v=0
a = 5; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·5·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
v1 = −b−√Δ/2a
v2 = -b+√Δ/2a
√Δ = √49 = 7
v1 = -(−7)−7/2*5 = 0/10 = 0
v2 = -(−7)+7/2*5 = 14/10 = 1+2/5