Answer:
a: 3 to the power of -2 is 1/9 = 5 1/9
b: 3 to the power of 3 = 27
5+27 = 32
Step-by-step explanation:
You took a picture of half of the page
Answer:
gradient = -5
Step-by-step explanation:
A line passes (x1, y1) and (x2, y2) has the gradient (slope) which is calculated by:
gradient = (y2-y1)/(x2-x1)
As shown in picture, this blue line passes (-1, 0) and (0, -5)
=> gradient = (-5 - 0)/(0 - -1) = -5/1 = -5
Hope this helps!
Answer:
Length is 336 in, width is 252 in
Step-by-step explanation:
Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.
For # 3 and 5 you need to use the quadratic formula:
<span>(-b +/- srt(b^2 - 4ac))/2a </span>
<span>a, b, and c are representative of this formula: ax^2 +bx + c </span>
<span>1) 2x^2+3x-9=0 </span>
<span>(2x - 3)(x + 3) = 0 </span>
<span>2x - 3 = 0, x + 3 = 0 </span>
<span>+3 +3, -3 -3 </span>
<span>2x = 3, ***x = -3*** </span>
<span>/2 /2 </span>
<span>***x = 3/2*** </span>
<span>2) 5x^2+2x=0 </span>
<span>(x)(5x + 2) = 0 </span>
<span>5x +2 = 0, ***x = 0*** </span>
<span>-2 -2 </span>
<span>5x = -2 </span>
<span>/5 /5 </span>
<span>***x = -2/5*** </span>
<span>4) 4x^2+7x-2=0 </span>
<span>(4x - 1)(x + 2) = 0 </span>
<span>4x - 1 = 0, x + 2 = 0 </span>
<span>+1 +1, -2 -2 </span>
<span>4x = 1, ***x = -2*** </span>
<span>/4 /4 </span>
<span>***x = 1/4***</span>
