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Answer: Choice D
(0,-4) (4,0) and (-1,-5)
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Explanation:
Plug in x = -4
y = x-4
y = -4-4
y = -8
The point (-4,-8) is on the line instead of (-4,0). This rules out choice A and choice B.
Now plug in x = 1
y = x-4
y = 1-4
y = -3
We get (1,-3) instead of (1,5). So we can rule out choice C.
The answer must be choice D.
The graph is below.
Answer:
a² + 5a + 6
Step-by-step explanation:
(a + 2)(a + 3) = ?
We can use the FOIL method of multiplying two binomials
First terms: a × a = a²
Outer terms: 2 × 3 = 6
Inner terms: 2 × a = 2a
Last terms: a × 3 = <u> 3a </u>
Sum = a² + 5a + 6
Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.