Answer:
Slope = 4/3x; y-intercept = -1
Step-by-step explanation:
y + 1 = 4/3x
You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept
y + 1 = 4/3x
Subtract one from both sides
y + 1 - 1 = 4/3x - 1
y = 4/3x - 1
Now that we have the equation, you can now find the slope and y-intercept
y = mx + b; m is the slope and b is the y-intercept
So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1
The halves of the rhombus separated by line BD are equilateral triangles.
∠BAD = 60°
so
∠ADM is 0.80*60° = 48°.
∠BMD is an exterior angle to ΔAMD, so is equal to the sum
∠BMD = ∠BAD + ∠ADM
= 60° +48° = 108°
∠BMD = 108°
Answer: 17 is the only prime number
Step-by-step explanation:
Answer:
6) a) 15 inches
7) b) 4 cm
The side of the square 4 cm
8) C)
Area of the square = side ×side
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the perimeter of the square is twice the perimeter of the triangle
we know that the perimeter of the square = 4a and
The perimeter of the triangle = a+b+c
Given that the perimeter of the square is twice the perimeter of the triangle
4a = 2( a+b+c)
2a = 11 +9+10
2a = 30
a =15
The side of the square = 15 inches
<u><em>Step(ii):-</em></u>
<em>7) </em>
Given that the area of the square is equal to the area of the rectangle
a² = length × breadth
a² = 8×2 =16
a= √16
a = 4cm
8)
Area of the square = side ×side
Answer: You'll have 1/6 more food coloring than vanilla.
Step-by-step explanation:
You need to find the common denominator of 1/3 and 1/2, so multiply each denominator by each other. You'll have 3/6 food coloring and 2/6 vanilla, which means you'll have 1/6 more food coloring than vanilla.
