Answer:
y < 5/2x + 5
Step-by-step explanation:
slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)
y intercept is +5
Answer:
The angles are supplementary to each other (their sum is 180 degrees)
x = 62°
Step-by-step explanation:
(2x+10) + 46 = 180
subtract 56 from each side
2x = 124
divide both sides by 2
x = 62°
In the question above, to find the height we have to calculate the value of y.
We are going to solve the 2 equations simultaneously.
y = -0.5x²<span> + 3x .............................................(1)
</span><span>-0.5x + 2.42y = 7.65 .....................................(2)
Solve using substitution method.
From the equation 1,
</span>y = -0.5x² + 3x
Substitute the value of y in the equation 2 with y = -0.5x² + 3x
So we have,
-0.5x + 2.42(-0.5x² + 3x ) = 7.65
-0.5x - 1.21x² + 7.26x = 7.65
- 1.21x² + 6.76x = 7.65
1.21x² - 6.76x - 7.65 = 0
This is a quadratic equation.
Solving the for x using quadratic formula.
x = (- - 6.76 +/- √( 6.76² - 4×1.21×7.65)) ÷ 2
= (6.76 +/- √82.7236) ÷2
= 6.76 +/- 9.095
x = 15.86 or -2.335
But distance can not be negative, the value of x = 15.86 ft.
The height which is the value of y will be;
y = -0.5x² + 3x
= -0.5(15.86)² + 3(15.86)
= 125.7698 + 47.58
= 173.3498 ft
Height = 173.3498 ft
Answer:
A) 21/7, or 3
B) 36/5, or 7 1/5
C) 35/25, or 1 15/25, or 1 3/5
D) 54/12, or 4 6/12, or 4 1/2
Step-by-step explanation:
8/7 plus 13/7. You add the numerators (the numbers on top) together. That makes 21. The denominator (the numbers on bottom) stays the same. So it would be 21/7. 7 fits into 21, 3 times.
8/7 más 13/7. Agrega los numeradores (los números en la parte superior) juntos. Eso hace 21. El denominador (los números en la parte inferior) permanece igual. Entonces sería 21/7. 7 encaja en 21, 3 veces.
8/7 plus 13/7. Vous ajoutez les numérateurs (les chiffres du haut) ensemble. Cela fait 21. Le dénominateur (les chiffres du bas) reste le même. Donc, ce serait 21/7. 7 correspond à 21, 3 fois.
8/7 plus 13/7. Quarum numeratores addere (supra de numero) una. 21. Quod facit denominator est (per numeros in fundo) manebit. Ita esset 21/7. Vicium, in VII XXI, III tempora.