Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Answer:
Step-by-step explanation:
<u>Funciones Trigonométricas</u>
La identidad principal en trigonometría es:
Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.
Dado que Sen A = 4/5, calculamos el coseno:
Sustituyendo:
Tomando raíz cuadrada:
La tangente se define como:
Substituyendo:
Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:
Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24
Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.
Answer:
31
Step-by-step explanation:
So the answer is 31 because
Carson ran 43
Jayden ran 12 miles less
so subtract 43-12=31
Answer: the cube root of 512 is 8.
Step-by-step explanation:
First divide 512 and take the least factors as I have shown,
512= 2×2×2×2×2×2×2×2×2
Now, make the triple twins of these factors,
(2×2×2)(2×2×2)(2×2×2)
Now, take one number from each pair and multiply them,
2×2×2=8
Therefore, the answer of the cube root of 512 is 8.
