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shutvik [7]
2 years ago
15

Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the othe

r line
Mathematics
1 answer:
Taya2010 [7]2 years ago
4 0

Answer:

y  + 4x - 6 = 0

Step-by-step explanation:

Rearranging the given equation:-

4y = x + 24

y = 1/4 x + 6  

This has a y intercept of  (0, 6) and a slope of 1/4.

Thus, the other line has a slope of -4 and  passes through the point (0,6) also.

Using the Point-slope form of a straight line:-

y - y1 = m(x - x1)

y - 6 = -4(x - 0)

y  + 4x - 6 = 0  is the required equation  

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Four friends split the cost of a pizza and salad. The pizza costs $20 and the salad costs $6. Which expression can you use to fi
NeTakaya

Answer:

26 divided by 4= $6.50

Step-by-step explanation:

20+6=26

26 divided by 4 friends = they each paid $6.50

6 0
2 years ago
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Angle A is shown below.<br>What is the measure of LA, in degrees?​
Vesna [10]

The measure of angle A is 55°.

Solution:

Let us take B be the adjacent angle of 145°.

<em>Sum of the adjacent angles in a straight line = 180°</em>

⇒ m∠B + 145° = 180°

Subtract 145° from both sides.

⇒ m∠B + 145° - 145° = 180° - 145°

⇒ m∠B = 35°

The adjacent angle of 145° is 35°.

In the image, angle B and angle A equal to 90°.

⇒ m∠B + m∠A = 90°

⇒ 35° + m∠A = 90°

Subtract 35° from both sides.

⇒ m∠A = 55°

The measure of angle A is 55°.

8 0
3 years ago
The volume of cylinder is 448 pie cm cube and height 7 cm find its radius<br>​
Verizon [17]

<u>Answer:</u>

r =\bf 8 \space\ cm

<u>Step-by-step explanation:</u>

The formula for volume of a cylinder is as follows:

\boxed{Volume = \pi r^2 h}

where:

• r = radius (? cm)

• h = height (7 cm).

Substituting the values into the formula:
448 \pi  = \pi \times r^2 \times 7

Now solve for r:

⇒ r^2 = \frac{448 \pi }{\pi \times 7}

⇒ r = \sqrt{64}

⇒ r =\bf 8 \space\ cm

8 0
2 years ago
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Which quadratic function in standard form can be represented by the graph that has a vertex at (6, 3) and passes through the poi
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Answer:

Step-by-step explanation:

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2 years ago
Consider the function f(x)= (x+4)(x-2) what is the equation of the axis of symmetry
almond37 [142]

if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation

\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}

now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.

well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys

-4------------(-1)------------2

so the vertex is at x=-1, namely the axis of symmetry is x = -1.

8 0
3 years ago
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