Answer:
Option D
Step-by-step explanation:
' y = 4x − 1' would graph as a straight line. Therefore, it is a linear equation.
Liner equations are graphed as a straight line, while nonlinear equations are not.
Answer:
First Image: Option D
Second Image: Option D
Third Image: Option C
Fourth Image: Option B
Fifth Image: Option B
Step-by-step explanation:
<u>First Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 47 = 133°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
<u>Second Image:</u>
- A triangle angles adds up to 180°
- Two angles are already given
- 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Third Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 110 = 70°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fourth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 120 = 60°
- we are shown a right angle which = 90°
- A triangle adds up to 180°
- 180 - 90 - 60 = 30
- ? = 30°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fifth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 85 = 95°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
Learn more about Triangles here: brainly.com/question/4186813
Answer:
Answer is 42
Step-by-step explanation:
2^5 + 10
2*2*2*2*2 + 10
32 + 10
42
<span>(5+2 i)(4-3i) - (5-2yi)(4-3i)
Factorize out (4 -3i)
(4 -3i)( (5 +2i) - (5 -2yi) )
= </span><span><span>(4 -3i)(5 +2i - 5 + 2yi)</span>
= </span><span><span>(4 -3i)(5 - 5 + 2i + 2yi)</span>
= (4 -3i)(2i + 2yi)
= (4 - 3i)(2 + 2y)i. Let's multiply the first two.
</span>
(4 - 3i)(2 + 2y) = 2*(4 -3i) + 2y*(4 - 3i)
= 8 - 6i + 8y - 6yi
= 8 + 8y - 6i - 6yi
(4 - 3i)(2 + 2y)i = (8 + 8y - 6i - 6yi)i Note: i² = -1
= 8i + 8yi - 6i² - 6yi²
= 8i + 8yi - 6(-1) - 6y(-1)
= 8i + 8yi + 6 + 6y
= 6 + 6y + 8i + 8yi
= (6 + 6y) + (8 + 8y)i In the form a + bi
Answer:
(1, 3)
Step-by-step explanation:
x - 3y = -8
3x + y = 6
Isolate a variable in one of the equations:
y = 6 - 3x
Substitute the value of y into the other equation:
x - 3(6 - 3x) = -8
Use distributive property:
x - 18 + 9x = -8
Combine like terms:
10x - 18 = -8
Isolate the variable:
10x = 10
x = 1
Substitute the value of x into any equation:
3(1) + y = 6
3 + y = 6
Isolate the variable:
y = 3
