Answer:
Solution of equation :-
x = 1 or x = -4
Step-by-step explanation:
The given quadratic equation is x² + 3x - 4 = 0
<u>To find the solution</u>
<u>Using splitting method</u>
x² - x + 4x - 4 = 0
x(x - 1) + 4(x - 1) = 0 (take x and 4 as common)
(x - 1)(x + 4) = 0
(x - 1) = 0 or (x + 4)= 0
If x - 1 = 0 then x = 1
If x + 4 = 0 then x = -4
We have that
<span>line with endpoints at (1,3) and (3,1)
we know that
Applying </span><span>the distance formula
d= √ (x2-x1)^2+(y2-y1)^2
</span>d= √ (3-1)^2+(1-3)^2-------> d=√[2²+(-2)²]-----> d=√8
Answer: y3=x y 3 = x
Step-by-step explanation:
Answer:
<em>The porch is 7.35 feet off the ground</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ramp, the height of the porch, and the distance from the base of both form a right triangle where trigonometric ratios can be applied.
The angle of 20° has the height of the porch H as the opposite side, and the hypotenuse is the length of the ramp.
The sine is defined as:
For our problem:
Solving for H:
Find the sine of 20° by using a calculator:
H=7.35 feet
The porch is 7.35 feet off the ground
Answer:
10y + 5
Step-by-step explanation:
You need to combine the Numbers with variables, and the numbers without variables need to be combined as well. Therefore, the answer is 10y +5.