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3 years ago

8x - 3x + 2 - x = ax + b solve for b

Mathematics

1 answer:

kkurt [141]3 years ago

8 0

Answer:

b = -ax + 4x + 2

Step-by-step explanation:

8x - 3x + 2 - x = ax + b

~Combine like terms

4x + 2 = ax + b

~Subtract ax to both sides

4x - ax + 2 = b

~Rewrite

b = -ax + 4x + 2

Best of Luck!

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1. A MAP SCALE READS 1CM:5KM. IF A DISTANCE ON THE MAP MEASURES 7CM, THE ACTUAL DISTANCE WILL BE?. 2. A SCHOOL DINING HALL IS 35

Agata [3.3K]

Answer:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

Step-by-step explanation:

Solution 1.

Reading of map scale = 1cm:5km

i.e. 1 cm is equivalent to 5 km

Measurement of map = 7 cm

Actual distance = Measurement of map $\times 5$

Actual distance = 7 $\times 5$ = 35 km

-------------------

Solution 2.

Length of dining hall = 35 m

Measurement of map = 7 cm

Scale = Measurement of map : Length of dining hall (i.e. ratio)

Scale = 7 cm :35 m = 1 cm : 5 m

-------------------

Solution 3.

Length of building = 30 m

Scale = 1 cm to 5m

5 m is equivalent to 1 cm on scale

1 m is equivalent to $\frac{1}{5}$ cm on scale

30m is equivalent to $\frac{1}{5} \times 30$ = 6 cm on scale

-------------------

Solution 4.

Angle of elevation of A from B = $42^\circ$

Angle of depression of B from A = ?

Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.

Angle of depression of B from A = $42^\circ$

-------------------

Solution 5.

Given that:

String length, or hypotenuse of triangle BC= 25 m

Angle of string with horizontal, $\angle B = 42^\circ$

Please refer to the attached image for the clear understanding of the situation.

To find:

Height, AC = ?

We can use trigonometric identity:

$sin\theta = \dfrac{Perpendicular}{Hypotenuse}$

$sinB = \dfrac{AC}{BC}\\\Rightarrow sin42^\circ = \dfrac{AC}{25}\\\Rightarrow AC = 25 \times 0.67\\\Rightarrow AC = 16.73 m$

============

So, the answers are:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

7 0

3 years ago

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

maxonik [38]

Step-by-step explanation:

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Given

first term a1 = -2

second term a2 = 2

We are to get the first 8 terms. Given the sequence

a[n]=a[n-2](3-a[n-1])

a[3]=a[3-2](3-a[3-1])

a[3]=a[1](3-a[2])

a[3]=-2(3-2)

a3 = -2

a[n]=a[n-2](3-a[n-1])

a[4]=a[4-2](3-a[4-1])

a[4]=a[2](3-a[3])

a[4]=2(3+2)

a4= 10

a[5]=a[n-2](3-a[n-1])

a[5]=a[5-2](3-a[5-1])

a[5]=a[3](3-a[4])

a[5]=-3(3-10)

a5 = -3(-7)

a5 = 21

a[6]=a[n-2](3-a[n-1])

a[6]=a[6-2](3-a[6-1])

a[6]=a[4](3-a[5])

a[6]= 10(3-21)

a6 = 10(-18)

a6 = -180

a[n]=a[n-2](3-a[n-1])

a[7]=a[7-2](3-a[7-1])

a[7]=a[5](3-a[6])

a[7]= 21(3+180)

a7 = 21(183)

a7 = 3,843

a[8]=a[n-2](3-a[n-1])

a[8]=a[8-2](3-a[8-1])

a[8]=a[6](3-a[7])

a[8]=-180(3-3843)

a8 = -180(-3840)

a8 = 691,200

6 0

3 years ago

Multiply choice ! help

Lostsunrise [7]

Answer:

put it all in tiger algebra it will give you all of the answers

Step-by-step explanation:

6 0

3 years ago

How do you divide 9/4 divided by 10/3

NeTakaya

Answer:

You do (Keep, Change, Flip)

so you keep 9/4

Then change the division sign to multiplication sign

Finally flip the next fraction (10/3) becomes 3/10

9/4 * 3/10 = (9*3)/(4*10) = 27/40

4 0

3 years ago

Sandra has a cylindrical mold for making candles with a radius of 3.4 cm and a height of 6 cm. If Sandra uses a rectangular bloc

Wittaler [7]

Answer:

$14\ candles$

Step-by-step explanation:

step 1

Find the volume of the cylindrical mold

The volume is equal to

$V=\pi r^{2} h$

we have

$r=3.4\ cm$

$h=6\ cm$

assume

$\pi=3.14$

substitute

$V=(3.14)(3.4)^{2}(6)$

$V=217.79\ cm^{3}$

step 2

Find the volume of the wax

The volume is equal to

$V=(15)(12)(18)$

$V=3,240\ cm^{3}$

step 3

Divide the volume of the wax by the volume of the cylindrical mold, to calculate the number of candles

$3,240/217.79=14.9\ candles$

Round down

$14\ candles$

5 0

3 years ago