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Ahat [919]
2 years ago
10

Slope intercept form and standard form

Mathematics
1 answer:
shtirl [24]2 years ago
8 0

Answer:

<em>First Equation: </em>

Slope Intercept Form: y=-1/2x+6

Standard Form: -1/2x+6

<em>Second Equation:</em>

Slope Intercept Form: y=1x-3 OR y=x-3

Standard Form: 1x-3 OR x-3

Step-by-step explanation:

We can just solve the equation by using the inequalities method.

<em>First Equation:</em>

y - 4 = - 1/2(x - 4)

y - 4= - 1/2x + 2

y = - 1/2x + 6

<em>Second Equation: </em>

y + 7 = 1/3(3x + 12)

y + 7 = 1x + 4

y = 1x - 3

Hope this helped!

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Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjace
shtirl [24]

Answer:

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966

6 0
3 years ago
Work out the value of angle x
AleksandrR [38]

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

5 0
2 years ago
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Do the results support or contradict the common belief that the mean body temperature is 98.6degrees​F? A. The results contradic
nata0808 [166]

Answer:

A. The results contradict the belief that the mean body temperature is 98.6 °F because both the mean and the median are less than 98.6 °F.  

Step-by-step explanation:

Assume the temperature data were those in the table below.

You would have calculated that

  Mean = 97.9 °F

Median = 97.9 °F

These observations contradict the belief that the mean body temperature is 98.6 °F.

A 2017 study found the mean oral temperature of more than 35 000 British patients was 97.9 °F.

 

7 0
3 years ago
Find the measures of the angles in the diagram. 20 points for all of the ones listed below
Inessa [10]
AB is a diameter of the circle, so it divides circle into two semicircles. 

Inscribed Angle Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.


An especially interesting result of the Inscribed Angle Theorem is that an angle inscribed in a semi-circle is a right angle. That's why m∠<span>AQB=m∠</span><span>ASB=m∠</span><span>ALB=m∠</span><span>ATB=m∠</span><span>ARB=90°.</span>

It is impossible to find measure of ∠<span>BWD, its measure depends on measure of a central angle ∠WDB. </span>





8 0
3 years ago
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Please help The dilation DO,2.5 is applied to triangle ABC below. Use the dilation of triangle ABC and its image to prove that t
viva [34]
A dilation D_{O,\,k} is a dilation with a scale factor, k centered at the origin.

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Given triangle ABC with vertices A(-2, 2), B(1, 2) and C(1, -1), a dilation D_{O,\,k} will result in the image with vertices A'2.5(-2, 2) = A'(-5, 5), B'2.5(1, 2) = B'(2.5, 5) and C'2.5(1, -1) = C'(2.5, -2.5)

Now, consider line AC, the equation of the line is given by

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Notice that line y = -x is a line passing through the origin which is the center of dilation.

Consider line A'C', the equation of the line is given by

\frac{y-5}{x-(-5)} = \frac{-2.5-5}{2.5-(-5)} \\ \\ \frac{y-5}{x+5} = \frac{-7.5}{2.5+5} = \frac{-7.5}{7.5} =-1 \\ \\ \Rightarrow y-5=-(x+5)=-x-5 \\ \\ \Rightarrow y=-x

As an be seen the line AC and the line A'C' is the same line.
4 0
2 years ago
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