Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
-2y>12x-42
y<21-6x
so a is true
erform a simple calculation to match the screen size of a standard TV to that of a widescreen TV. If you currently have a 4:3 TV and you want to continue watching 4:3 on a widescreen TV, multiply the diagonal length of the older TV model by 1.22. The result would be the diagonal screen size that the widescreen TV would have to be to match the old model.
<span>Say you have a 40 inch (102 cm) TV with a 4:3 aspect ratio, but you're thinking about upgrading and you don't want your screen size to get smaller. You'd need to get at least a 50 inch (127 cm) screen to view in 4:3 without your picture getting smaller. That's because 1.22 x 40 = 49. Since 49 inch TVs are generally not made, you'd need to go up to 50 inches (127 cm).</span>
The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x
Given, a number line is moving from ₋3 to ₊5 .
Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.
When we mark the point and shade the left part of it then we can start applying the inequality expressions.
And from that we can match the applicable inequalities while observing the graph.
- For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.
- Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.
- the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.
- ₋1.5 ≥ x, here the values will satisfy the graph.
- remaining inequality expressions does not support the graph.
Therefore the only inequalities the graph represents is x ≥ ₋1.5 and ₋1.5 ≤ x
Learn more about "Linear Inequalities" here-
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Answer:
- A'(-3, 12)
- B'(9, 6)
- C'(-6, -6)
Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor.
For dilation factor k, the new coordinates are ...
(x, y) ⇒ (kx, ky)
Your dilation factor is 3, so the transformation is ...
(x, y) ⇒ (3x, 3y)
A(-1, 4) ⇒ A'(-3, 12)
B(3, 2) ⇒ B'(9, 6)
C(-2, -2) ⇒ C'(-6, -6)
