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Alina [70]
3 years ago
10

Write the equation 4x 2y = 5 in the form y = mx b.

Mathematics
2 answers:
kipiarov [429]3 years ago
5 0
Here is the work to solve

Sever21 [200]3 years ago
3 0

Answer:

y=-2x+2.5

Step-by-step explanation:

we have

4x+2y=5 ----> this is the equation of the line in standard form

Convert to a slope-intercept form

Isolate the variable y

Subtract  4x both sides

4x+2y-4x=-4x+5

2y=-4x+5

Divide by 2 both sides

2y/2=(-4x+5)/2

y=-2x+2.5 ------> equation of the line into slope intercept form

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How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
Decompose to find the product of 8 × 4.52.
RideAnS [48]

Answer:

8 × 4.52 = 36.16

Step-by-step explanation:

We have given expression:

8 × 4.52

We have to find the product of expression.

8 × 4.52

8 × 4.52 = 36.16

36.16 is the product of the given expression.

We completed our question.

4 0
3 years ago
Write the number 4.2 x 10^2 in standard form.
Sav [38]

Answer:

420 (lol)

Step-by-step explanation:

6 0
3 years ago
. Ana tiene el triple de edad que su hijo Jaime. Dentro de 15 años, la edad de Ana será el doble que la de su hijo. ¿Cuántos año
poizon [28]

Answer:

La madre de Jaime tiene 30 años más que él.

Step-by-step explanation:

Llamemos x a la edad actual de Jaime, si la edad actual de Ana es el triple que la de Jaime, entonces la edad actual de Ana es 3x.

Dentro de 15 años, la edad de Jaime será x+15 (edad actual más 15 años) y usando el mismo razonamiento, la edad de Ana será 3x + 15.

Por otro lado el problema nos dice que dentro de 15 años, la edad de Ana (que ya sabemos que será 3x + 15) será igual al doble de la que tendrá su hijo en 15 años. Esto en forma de ecuación se representa:

3x+15=2(x+15) (la edad de Ana será igual que el doble de la de su hijo)

Resolviendo la ecuación:

3x+15= 2(x+15)\\3x+15=2x+30\\3x-2x=30-15\\x=15

Por lo tanto, Jaime tiene 15 años y su madre tiene 3x=3(15)=45 años. Por lo tanto la diferencia de edad es de 30 años y Ana tiene 30 años más que su Jaime.

3 0
3 years ago
Could someone please help me with #9 thank you
Sever21 [200]

Answer:

Step-by-step explanation:

p ll s is false because s is parallel to q and q is perpendicular to p

3 0
3 years ago
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