Simplify (3x + 2)(4x - 7). Write your answer in standard form.

Answer:

1st pic:

x = 60

y = 50

2nd pic:

y = 8

∠W = 28

∠Y = 128 degrees

∠X = 24

Step-by-step explanation:

first pic:

to find x, subtract 120 from 180 ⇒ 180 - 120 = 60

to find y, add 60 & 70 & subtract the sum from 180 ⇒ 180 - (60 + 70) = 50

2nd pic:

to find ∠Y, subtract 52 from 180:

180 - 52 = 128

to find y, use the following equation:

3y + 4y - 4 + 128 = 180

combine like terms:

7y + 124 = 180

subtract 124 from each side:

7y + 124 - 124 = 180 - 124

7y = 56

divide 7 on both sides:

[tex]\frac{7y}{7} = \frac{56}{7}[/tex]

y = 8

now we can find angles W and X

∠W = 4y - 4

we know that y = 8 so just substitute 8 for y

∠W = 4 x 8 - 4

∠W = 28

∠X = 3y

likewise, subtitute 8 for y

∠X = 3 x 8

∠W = 24

to check, add all angles and if they add up to 180, then its right:

24 + 28 + 128 = 180

180 = 180

Step-by-step explanation:

here's your solution

=> for first figure , (x + 120° ) = 180° [ linear pair]

=> x = 180° - 120°

=> x = 60°

=> now , we know sum of all angles of traingle = 180°

= >so, 60° + 70° + y = 180°

=> y= 180° - 130°

=> y = 50

now in figure second

=> 4y - 4 + 3y = 52° [ exterior angle equal to sum of two opposite interior

=> 7y - 4 = 52°

=> 7y = 52° + 4°

=> 7y = 56°

=> y = 56°/7

=> 8°

hope it helps

Answer:

good luck with maths! i know it can be tricky

Step-by-step explanation:

Answer:

0.056, 0.060, 0.560, 0.600, 6.00

Step-by-step explanation:

Place Value Chart

Tens ---- Ones --- Tenths ---- Hundredths ---- Thousandths

(think about where the values go in the chart)

Answer:

y = 2/3x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

think its c

Answer:

The length of the bold arc is approximately 13.4 mi

Step-by-step explanation:

The radius of the circle having the arc, r = 17 mi

Therefore, the circumference of the circle, 'C', is given as follows;

C = 2·π·r

∴ C = 2×π×17 = 34·π

The angle subtended by the arc = 45°

The sum of the angles at the center of the circle = 360°

By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle

Mathematically, we have;

[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]

Therefore, we get;

[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]

[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]

The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).

Answer: 6 is C and 7 is a

Step-by-step explanation:

Answer:

6) b. 75

7) d. 62

Step-by-step explanation:

the sides of the box are the quartiles, and the dots at the end are the range of the data. the line in the middle of the box is the center of the data.

4 cookies and 5 donuts

Answer:

1x + 1.5y = 18

x + y = 15

She bought 9 donuts and 6 cookies.

Answer:

The answer is (16.538461(repeated), 26.461538(repeated))

Answer:

x=16.538462 and y=26.461538

Answer:

Step-by-step explanation:

Arianna will always be 3 years older than Javier no matter how old he gets.

The table is given below.

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We can use the given information to complete the table as follows:

Javier(x) Arianna (y)

2          5

3          6

8          11

20          23

Now,

The equation that relates the age of Arianna, y, to the age of Javier, x.

We have,

y = mx + b, where m is the slope and b is the y-intercept.

We can use the first two points (2, 5) and (3, 6) to find the slope.

m = (6 - 5)/(3 - 2)

m = 1

Now,

The y-intercept,

(2, 5) = (x, y)

y = mx + b

5 = 1(2) + b

b = 3

Therefore,

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Answer:

3600

Step-by-step explanation:

Answer:

48 in

Step-by-step explanation:

If the area is 144 that means each side of the square is 12 in. 12x4=48

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

sure ig (:

Answer:

She told me put my heart in the bag (In the bag)

And nobody gets hurt (Nobody)

Now I'm running from her love, I'm not fast (Fast)

So I'm making it worse (Making it worse)

Now I'm digging up a grave, from my past

I'm a whole different person (A whole different person)

It's a gift and a curse (A gift and a curse)

But I cannot reverse it

Step-by-step explanation:

Answer:

Let L = length

Let w = width

Perimeter = 2L + 2w

L = 100

Perimeter > 400

2(100) + 2w > 400

200 + 2w > 400 is the inequality

Subtract 200 on both sides of inequality.

2w > 200

w > 100

The width is at least 100 centimeters

The inequality that describes the perimeter of a rectangle is greater than 100 is 2(l + w) > 100.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, A rectangle with a width of w and a length of l has a perimeter greater than 100.

We know the perimeter of a rectangle is 2(l + w).

∴ The perimeter of this rectangle is 2(l + w) > 100.

learn more about rectangles here :

https://brainly.com/question/15019502

#SPJ5

Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Answer:

tue

Step-by-step explanation:

Answer:

it 14 inch because 1 foot is 12 inches, and 14 inches is greater

Step-by-step explanation:

Answer:

Her total would be: $944

Step-by-step explanation:

Answer:

I see nothing tho

Step-by-step explanation:

Answer:

a) 2107

b) 4278

c)false equation but gessing its a + IT IS 96 or a - =80

d) 2

Step-by-step explanation:

a) 2107   b) 4278 c)  i dont think anything can be done with this  d)2 hope this helps,

9514 1404 393

Answer:

  16 m

Step-by-step explanation:

The useful trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(41°) = a/(25 m)

  a = (25 m)sin(41°) ≈ 16.40 m

The measure of side 'a' is about 16 meters.

Answer:

B

Step-by-step explanation:

You just subtract

Answer:

i think the answer is 265.25

Step-by-step explanation:

because there are 12 months in a year so 3,183 ÷ 12 = 265.25

Answer:

Joe mama

Step-by-step explanation:

Answer:

−2

Step-by-step explanation:

−22−3+5

=−4−3+5

=−7+5

=−2

PLS BRAINLIEST

Answer:

The answer is √5+√3+10+2√15

Answer: [tex]\sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} }[/tex]

You need to multiply by the conjugate

To find the conjugate, first remember:

(a+b)(a-b) = a^2 - b^2 (if a and b are sqrts, this will eliminate the square roots, rationalizing the denominator)

You have √5 - √3 as the denominator

You should multiply by √5 + √3

(This will eliminate the sqrts)

Remember to multiply both the numerator and denominator

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } = \frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}}[/tex]

Now simplify

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}} = \frac{(2+4\sqrt{5})(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})} = \frac{2\sqrt{5}+2\sqrt{3}+20+4\sqrt{15}}{5-3} = \sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]

Answer: 15 oatmeal cookies.

Step-by-step explanation:

There were 25 cookies baked.

Out of these, 3/5 are oatmeal cookies.

The amount of actual oatmeal cookies is:

= fraction of oatmeal cookies * total number of cookies

= 3/5 * 25

= 75 / 5

= 15 oatmeal cookies.