in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel

Answer:

Other root of equation, [tex]\frac{8}{3}[/tex]

Value of ([tex]b[/tex]), [tex]-17[/tex]

Step-by-step explanation:

The given quadratic equation is in standard form. Standard form is the basic format of representing a quadratic equation, a quadratic equation in standard form would use the following format,

[tex]y=ax^2+bx+c[/tex]

To solve this problem, one could use Vieta's theorems. Vieta's theorems state the following, let ([tex]x_1[/tex]) and ([tex]x_2[/tex]) represent the roots of the equation,

[tex](x_1)+(x_2)=-\frac{b}{a}[/tex]

[tex](x_1)(x_2)=\frac{c}{a}[/tex]

Substitute the given values into the equation,

[tex]3+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=\frac{24}{3}[/tex]

Simplify,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex](3)(x_2)=8[/tex]

Inverse operations,

[tex](3)+(x_2)=-\frac{b}{3}[/tex]

[tex]x_2=\frac{8}{3}[/tex]

Substitute in the value of ([tex]x_2[/tex]),

[tex](3)+(\frac{8}{3})=-\frac{b}{3}[/tex]

Simplify, convert to improper fractions and combine like terms,

[tex]\frac{9}{3}+\frac{8}{3}=-\frac{b}{3}[/tex]

[tex]\frac{17}{3}=-\frac{b}{3}[/tex]

Multiply both sides of the equation by ([tex]3[/tex]) to remove the denominator,

[tex]17=-b[/tex]

Answer:

I will make sure he doesnt run out for you.

Step-by-step explanation:

Answer:

Your answer is 8.06.

Step-by-step explanation:

Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:

a² + b² = c²

Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.

a is going to be your smallest leg, so in this case a = 4.

b is going to be your longest leg, so it is b = 7.

Now, you don't know what c yet is so you simply write it as:

4² + 7² = c²

Do the exponents.

16 + 49 = c²

Add.

65 = c²

Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.

√65 = √c2

Once you do that, you have your answer!

8.0622577483 = c

Now just simplify and you're done :)

8.06

Might sound hard now but you'll get the hang of it.

Answer:

For the first one it is 5x+2

Step-by-step explanation:

(9x+5) - (4x+3) = ?

First you minus the x's together so,

9x-4x which would equal 5x

then you minus the 5 and 3 together so,

5-3 which would equal 2

then you put the 5x and the 2 together and you get

5x+2 :-)

For the rest of the problems, use this as an example!

Answer:

y=5.72

Step-by-step explanation:

Let's solve your equation step-by-step.

y−1.02=4.7

Step 1: Add 1.02 to both sides.

y−1.02+1.02=4.7+1.02

y=5.72

Answer: y=5.72

Step-by-step explanation:

4.7 plus 1.02 equals 5.72

5.72 minus 1.02 equals 4.7

Answer:

the first one is 10

the second one is 12.65

Step-by-step explanation:

hope this will help u

Hello there!

Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].

For problem number 7, we plug 6 and 8 in for a and b. Like this:

[tex]6^{2} + 8^{2} = c^{2}[/tex]

Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.

64 + 36 = 100

Then, we take the square root of 100 to get c.

[tex]\sqrt{100} = 10[/tex]

(There's something special about this triangle. If you want I'll tell you about it in the comments.)

For problem number 8, we do the same exact thing.

[tex]4^{2} + 12^{2} = c^{2}[/tex]

[tex]4^{2} = 16[/tex]  and  [tex]12^{2} = 144[/tex]

[tex]144 + 16 = 160[/tex]

[tex]\sqrt{160} = 8\sqrt{10}[/tex]

I hope this helps!!

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 9x = x + 24 ( subtract x + 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

(x + 2)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 12 = 0 ⇒ x = 12

Answer:

5 2/5 seems right to me

Step-by-step explanation:

filler filler filler

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

yes, they arent intersecting and they have the same slope

Answer:

about 236.715 ft²

Step-by-step explanation:

area of a circle = πr²

so π7.5² = 176.7145868

area of a rectangle is b × h

so 15 × 4 = 60

60 +  176.7145868 = 236.7145868 ft² ≈ 236.715 ft² (for the nearest thousandths)

Answer:

G(-4,6)

Step-by-step explanation:

Here, we want to write a translation

moving left means we are to subtract the number of units from the original

So we have this as -4

Moving up means we are to add the number of units to the original

So we have this as +6 = + 6 units

So the answer here will be;

(-4,6)

G.  (-4, 6).

Given translation is 4 units left and 6 units up.

For left we use negative sign. And for up was use plus sign.

So the translation vector is (-4, 6).

Find out more information about the translation here: https://brainly.com/question/12861087

Answer:

30

Step-by-step explanation:

Let the amount of money Taylor spent = x

The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.

Hence

1/5 × x = 6 jeans

x/5 = 6 jeans

Cross Multiply

x = 5 × 6 jeans

x = 30

The amount of money Taylor spent = 30

Answer:

The function that models the total amount of money Julio has after weeks is:

f(x)=150+10x, where:

x is the number of weeks

Step-by-step explanation:

With the information provided,  you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:

f(x)=150+10x, where:

x is the number of weeks

Answer: f(x)=150+10x,

Step-by-step explanation:

Answer:

3.594417e+19

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27

Explanation:

(3x2) + 5^2 - 8 / 2 = 27

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

6.3 yards

Step-by-step explanation:

mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle

we have this as;

C = 2 * pi * r

r is 1 yard

c = 2 * pi * 1 = 2pi yards = 6.3 yards

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

7x9=63/2=31.5

31.5x4= 126

7x7=49

126+49=175

The surface area of the pyramid would be 175cm^2

Answer:

6.8*10^3

Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

120

Step-by-step explanation:

Answer:

a + b = 780

Step-by-step explanation:

If we subtract the two equations we can ”eliminate“  a and b and find the value of z.

a-a = 0

b-b = 0

-10z = -700

z = 70

now we have to subistitute this value in the two equations

a + b -4(70) = 500

a + b + 6(70) = 1200

a+b - 280 = 500

a + b + 420 = 1200

If we simplify we have

a + b = 780

a + b =  780

Answer:

1.20 2.50 4.75 0.003 0.0053 0.0075

Step-by-step explanation:

Divide each percent by 100 to get the decimal form.

Sorry for not showing a diagram, but I hope this helps!

Answer:

Step-by-step explanation:

Given,

Number of rainy days = 18

Number of cloudy days = 14

Number of sunny days = 29

Therefore,

Number of days either sunny or cloudy = 14 + 29 = 43

So,

Number of more days sunny or cloudy than rainy are

= 43 - 18 = 25

Hence,

Option C 25 is the correct answer.

Answer:

1/6

Step-by-step explanation: