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gtnhenbr [62]
3 years ago
11

Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

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Helga [31]

Answer:

(a)96.77%

(b)3.23%

Step-by-step explanation:

Starting with the Michaelis-Menten equation which is used to model biochemical reactions:

Dividing both sides by V_{\max }}

\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}

Where: V_{\max }} = maximum rate achieved by the system

K_{\mathrm {M} }}=The Michaelis constant

{\displaystyle {\ce {[S]}}}= Substrate concentration

(a) When [S]=30K_M

\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{30K_M}{K_M + 30K_M}\\\dfrac{v}{V_{max}}=\dfrac{30}{1 + 30}\\\dfrac{v}{V_{max}}=\dfrac{30}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{30}{31}X100=96.77\%

(b)When K_M=30[S]

\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{[S]}{30[S] + [S]}\\\\=\dfrac{1[S]}{30[S] + 1[S]}\\=\dfrac{1}{30 + 1}\\\dfrac{v}{V_{max}}=\dfrac{1}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{1}{31}X100=3.23\%

8 0
3 years ago
Use point-slope form to write the equation of a line that passes through the point
solniwko [45]

Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

5 0
2 years ago
Read 2 more answers
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NISA [10]
2x=5 so 5÷2 = x (2.5)
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4z = 3 so 3÷4 = z (0.75)

implement: 24x2.5x1.3•x0.75

hope i answered right
3 0
3 years ago
Triangle ABC has been dilated to form triangle A'B'C'. If sides AB and A'B' are proportional, what is the least amount of additi
Ede4ka [16]
When considering similar triangles, we need congruent angles and proportional sides.

Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.

"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.

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"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.

To conclude, the first option is sufficient to prove similarity (AAA)

3 0
3 years ago
Read 2 more answers
Which of the following is less than 0.625?<br>A. 0.623<br>B. 0.651<br>C. 0.627<br>D. 1.624<br><br>​
galina1969 [7]

Answer:

A. 0.623

Step-by-step explanation:

Hope it helps you in your learning process.

3 0
3 years ago
Read 2 more answers
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