The surface area of the sphere:
A = 4 r² π
1 ) r = 60 m;
A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
A = 4 · 7² π = 4 · 49 π = 196 π cm²
Answer:
Step-by-step explanation:
Concept 3: The dilation of a line segment is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than 1 (k > 1), the image will be larger than the pre-image, making the segments (sides) of the image longer than the corresponding sides of its pre-image (an enlargement).
Answer:
The equation of the line with slope m = 2 and passing through the point (1, 1) will be:

Step-by-step explanation:
We know that the point-slope form of the line equation is

where
- m is the slope of the line
The formula
is termed as the point-slope form of the line equation because if we know one point on a certain line and the slope of that line, then we can easily get the line equation with this formula and, hence, determine all other points on the line.
For example, if we are given the point (1, 1) and slope m = 2
Then substituting the values m = 2 and the point (1, 2)




Therefore, the equation of the line with slope m = 2 and passing through the point (1, 1) will be:

<span>Solve this by substitution:
</span>Solve 5x - 4y = -13 for x:<span><span><span><span>5x </span>− <span>4y </span></span>+ <span>4y </span></span>= -<span>13 + <span>4y </span></span></span>(Add 4y to both sides)
<span><span><u>5x </u></span>= <span><span><u>4y - </u><u>13 </u></span><u> </u> </span></span>(Divide both sides by 5)
5 5
<span>x = <span><span><span><u>4</u></span> y </span>+ -<span><u>13</u><span>
</span></span></span></span> 5 5
You can use https://www.mathpapa.com/algebra-calculator.html
5x - 4y = -13, 8x +10y = 12 (enter both equations with a comma between them and it will solve for you and show you step by step.