<span>y = slope*x + y-intercept;
</span>We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
<span>Set the two equations for y equal to each other:
</span>x + 2 = -x + 6 ;
<span>Solve for x. This will be the x-coordinate for the point of intersection:
</span>2x = 4;
x = 2;
<span>Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection:
</span>y = 2 + 2 ;
y = 4;
<span>The point of intersection for these two lines is (2 , 4).</span>
Answer:
m∠T = 72°
m∠U = 54°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of two equal sides of an isosceles triangle are equal in measure.
By this property, in the given triangle STU,
Since, ST ≅ TU,
m∠S = m∠U = 54°
Since, sum of interior angles of a triangle is 180°
m∠T + m∠S + m∠U = 180°
m∠T + 54° + 54° = 180°
m∠T = 180° - 108°
m∠T = 72°
<u>Answer:
</u>
Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.
<u>Solution:</u>
Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.
We know,
In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.
Using the given below equation, we will try to find out the investments at each rate.
x = 32000
We can calculate amount for 7% interest rate by,
(66000-32000) =34000
Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.
The ARC cosine of .28 = 73.74 degrees
the sine of 73.74 degrees = .96
