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Vesna [10]
3 years ago
9

Select the correct answer.

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer: Every quadratic has a (single) y-intercept. The reason for this is that the y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function y = ax2 + bx + c is c.

Step-by-step explanation:

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The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side
MariettaO [177]

Answer: The second option (160 cm)

Step-by-step explanation:

1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.

2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.

3. Therefore, you can write the following expression, where x is an integer:

3x+3x+5x+8x=380

4. Solve for x:

3x+3x+5x+8x=380\\19x=380\\x=\frac{380}{19}\\x=20

5. Therefore, the longest side is:

8x=8*20=160 (160 cm)

5 0
3 years ago
Read 2 more answers
Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .
Ad libitum [116K]
The answer is:  [B]:  " 60° " .
________________________________________
Because at whatever location,  <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.

Given:   m∠1  is 120°, and ∠1 is supplementary to ∠2 ;

then m∠1 + m∠2 = 180° .

So, m∠2 = (180 - 120)° = 60° .

As aforementioned:

m∠4 = m∠2 = 60° ;  which is:  Answer choice:  [B]:  " 60° " .
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3 0
3 years ago
2m/7 + 3m/14=1 what is the variable m
Tresset [83]
The variable m=2
got it?

6 0
3 years ago
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Use the graph to the right to write an equation of the line. What is the equation?​
Bingel [31]

Answer:

y = 1/4 x - 2

Step-by-step explanation:

To write the equation of a line, find from the line the slope and y-intercept. The y-intercept is where the line crosses the y-axis which here is at point (0,-2).

The slope of the line is found by writing a ratio between the vertical distance and the horizontal distance between points.

Slope is 1/4.

Substitute m = 1/4 and b = -2 into the slope intercept form y = mx + b.

y = 1/4 x - 2

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3 years ago
Juive the following equation.<br> X + 4(3x + 32) = 12
aleksandr82 [10.1K]

Answer:

try google algebra calculator

Step-by-step explanation:

6 0
3 years ago
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