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Ede4ka [16]
3 years ago
14

Which line is perpendicular to the given equation: y=2x+17

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer:

\large\boxed{y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\==========================\\\\\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\==========================\\\\\text{We have the equation of the line:}\ y=2x+17\to m_1=2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.\\\\\text{The equation of a line:}\ y=-\dfrac{1}{2}x+b,\ \text{wher}\ b\in\mathbb{R}.

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A person is holding two drill bits: one is 3/8 and one is 11/32. The person wants to first drill a hole using the smaller of the
beks73 [17]

The expanded fraction is 12/32.

<h3>What is expanded fraction?</h3>

Expanding fractions means making them “bigger.”

Given:

A person is holding two drill bits: one is 3/8 and one is 11/32.

So, to find the smaller and expand 3/8 to 32.

= 3/8* 4/4

= 12/32

Hence, expanded fraction is 12/32.

Learn more about this concept here:

brainly.com/question/17837892

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7 0
2 years ago
Suppose you know a certain parabola has a vertex of (2, 1) and a y-intercept of 4. By symmetry, you can conclude that the parabo
kodGreya [7K]

Answer:

A

Step-by-step explanation:

We are given a parabola with a vertex point of (2, 1) and a <em>y-</em>intercept of <em>y</em> = 4.

And we want to determine another point on the parabola.

Recall that a parabola is symmetric along the axis of symmetry, which is the <em>x-</em>coordinate of the vertex.

Note that since the <em>y-</em>intercept of the parabola is <em>y</em> = 4, this means that a point on our parabola is (0, 4).

To get from (2, 1) to (0, 4), we move two units left and three units up.

Since the parabola is symmetric along axis of symmetry, another point on the parabola will be two units right and three units up. This yields (2 + 2, 1 + 3) or (4, 4).

Our answer is A.

5 0
3 years ago
Hlo hlo hlo hlo koi h​
lutik1710 [3]

Answer:

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Step-by-step explanation:

that was unreadable

5 0
3 years ago
26% of what number is 45
Katarina [22]
45/26=1.7307692307692307692307692307692...
≈1.7308
100*1.7308=173.08
The unknown number is approximately 173.08.

3 0
3 years ago
Carry out the following operation as if it were a calculation of real experimental results. Express the answer in the correct un
Vladimir79 [104]

Answer:

a) 1.28

b) 2.57*10^-7 mg²

c) 8.14*10^7 dm

d) 3.79 m/s

e) 9.78*10^-3 mg

Step-by-step explanation:

a) 7.31 / 5.7 = 1.28, km/km is the same unit, so they cancel each other out. The answer is 1.28 without unit.

b) (3.26*10^-3) * (7.88*10^-5) = 2.57*10^-7 mg², here, mg * mg, this is mg²

c) (4.02*10^6) + (7.74*10^7) = 8.14*10^7 dm, here, the unit are added together, so we maintain it

d) (7.8 - 0.34) m / (1.15 + 0.82) m = 7.46 m / 1.97 m = 3.79 m/s, here, the numerator has the unit of m, and the denominator has the unit of s. Giving us m/s.

e) (9.88*10^-3) - (9.66*10^-5) = 9.78*10^-3 mg. Here, the unit was subtracted from each other, so we maintain it.

7 0
3 years ago
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