Answer:
1/ 8 pounds of dog food
Step-by-step explanation:
Given that:
7/8 pounds of dog food shared equally into 7 containers ;
Number of dog food in each container will be :
Total dog food / Number of containers
(7/8) ÷ 7
(7 /8) * 1/ 7
7 / 56
= 1/8 pounds of dog food
The answer is C. Opposite sides have the exact same slope, and the shape is a quadrilateral.
Answer:
Step-by-step explanation:
Properties of a kite;
1). A kite has one pair of equal angles.
2). A kite has two pairs of adjacent sides.
3). Diagonals of a kite intersect at 90°.
4). Kite has at least one diagonal that bisects the opposite angles.
It's given in the question,
m∠ABC = 70° and m∠ADC = 46°
By the property number -4,
m∠2 = m∠3 = = 35°
m∠8 = m∠9 = = 23°
By the property number - 3,
m∠4 = 90°
By the property of interior angles in a triangle,
m∠3 + m∠4 + m∠5 = 180°
35° + 90° + m∠5 = 180°
125° + m∠5 = 180°
m∠5 = 55°
Similarly, m∠1 + m∠2 + 90° = 180°
m∠1 + 35° + 90° = 180°
m∠1 = 55°
Now m∠6 + 90° + m∠8 = 180°
m∠6 + 90° + 23° = 180°
m∠6 = 180 - 113 = 67°
Therefore, m∠6 = m∠7 = 67°
Answer:
A)
p1 (0,0) p2 (1,2) given from the graph
slope = (y2-y1)/ (x2-x1 )
slope (m) = 2
y = mx+ b
b =0
y = 2x
b)
x = 0
y = 5
(0,5)
C)
gradient = slope
y = 3x + b
point given (0,12)
y = 3x + 12
Answer:
Step-by-step explanation:
4). This is an exponential function.
5). Let the equation of this function is,
f(x) = a(b)ˣ
Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,
For (-1, 4),
4 = a(b)⁻¹
4 = --------(1)
For (0, 6),
6 = a(b)⁰
a = 6
From equation (1),
4 =
b = = 1.5
Therefore, equation of the function will be,
f(x) = 6(1.5)ˣ
6). Now the value of f(-4) will be,
f(-4) = 6(1.5)⁻⁴
= 1.185