<u>Solution</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>
>> -3 (3 - x) = 2x + 5
>> -3 × (3 - x) = 2x + 5
>> -9 + 3x = 2x + 5
>> 3x - 2x = 9 + 5
>> x = 14
<u>Solution</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u>
>> -6 - 9p = 3p
>> -9p - 3p = 6
>> -12p = 6
>> p = -1/2
<u>Solution</u><u> </u><u>3</u><u> </u><u>:</u><u>-</u>
>> -5 (-4 - a) = 3a + 8
>> -5 × (-4 - a) = 3a + 8
>> 20 + 5a = 3a + 8
>> 5a - 3a = 8 - 20
>> 2a = -12
>> a = -12 / 2
>> a = -6
<u>Solution</u><u> </u><u>4</u><u> </u><u>:</u><u>-</u>
>> s - 6 = -5s
>> s + 5s = 6
>> 6s = 6
>> s = 6 / 6
>> s = 1
Answer: the answer is...
Step-by-step explanation: use a protractor to mesure the angle, then see it’s less than 90º it’s acute but if it’s grater than 90º is an obtuse but if it 90º is an right
Answer:
y = -3x - 4
Step-by-step explanation:
From the graph we see that the equation of a line is y = 
Note that the product of the slopes of perpendicular lines = -1.
The general equation of the line is: y = mx + c, where m is the slope.
Since the slope of this line is 1/3, the slope of its perpendicular line should be -3.
Therefore, we arrive at the slope - one point form to determine the equation of the line.
That is: (y - y₁) = m(x - x₁)
where, (x₁, y₁) is the point passing through the given line.
Here, from the graph the point (0, 4) passes through it.
So, y - (-4) = -3(x - 0)
⇒ y + 4 = -3x
⇒ y = -3x - 4 which is the required equation of the line.
Answer:
yeaa what
Step-by-step explanation:
Answer:
Area = 160 cm²
Perimeter = 55.31 cm
Step-by-step explanation:
Applying,
Area of the figure = area of the rectangle- area of the triangle
A = lw+bh/2............... Equation 1
From the question,
Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm
Substitute these values into equation 1
A = (16×12)-(8×8/2)
A = 192-32
A = 160 cm²
Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/
Applying pythagoras theorem to get /FG/
FG² = GE²+EF²
FG² = 8²+8²
FG² = 64+64
FG² = 128
FG = √128
FG = 11.31 cm
Therefore,
P = 16+12+4+8+11.31+4
P = 55.31 cm