Answer: x = 5, x = -7/2
<u>Step-by-step explanation:</u>
2x² - 3x - 35 = 0
<u>Step 1:</u> Find two values whose product = 2(-35) and sum = -3: -10 & 7
<u>Step 2: </u>Replace the b-value of -3x with -10x + 7x:
2x² - 10x + 7x - 35 = 0
<u>Step 3:</u> Factor the first two terms and the second two terms:
2x(x - 5) +7(x - 5) = 0
<u>Step 4</u>: Write the factored form:
Notice that the parenthesis are identical. This is one of the factors. The outside values are the other factor:
Parenthesis: (x - 5)
Outside: (2x + 7)
Factored form: (x - 5)(2x + 7) = 0
<u>Step 5: </u>Set each factor each to zero and solve for x:
x - 5 = 0 2x + 7 = 0
x - 5 
Answer:
360°
Step-by-step explanation:
According to the properties of parallel lines, the following deductions can be made:
<a and <c are exterior angles of same side, therefore they are supplementary.
Thus,
m<a + m<c = 180°
<b and <d, are alternate interior angles, therefore, they are supplementary.
Thus, m<b + m<d = 180°.
The total numbers of degrees of a, b, c, d will all sum up to give 360°.
ANSWER
Yes, it is a quadratic equation which is x² + 3x - 70 = 0
SOLUTION
Area = Length × Width
Let x be the Length, L = x
Length is 3 cm longer than its width, thus, W = x + 3
The Area is equal to 70m², thus, A = 70m²
In Mathematical representation,
A = L × W
70 = (x)(x + 3)
70 = x(x) + x(3)
70 = x² + 3x
0 = x² + 3x - 70
The length of ST to the nearest tenth of a foot is 5.2 ft
Step-by-step explanation:
Here we have
∡T = 90°
∡R = 64°
RS = 5.8 ft
To answer the question, we have apply sine rule as follows;
Therefore, for triangle RST, we will have;
Therefore;
from which
Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.
Answer:
You will want to add up the total for all four guests (The one after you added the tip) and then since you want to split it evenly, you can multiply it by 1/4.
