Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=

Answer:

-10m-9

Step-by-step explanation:

open the bracket by multiplication

-3 × 4m= -12m

-3 × 3= - 9

-12m - 9 +2m

arrange like terms together

-12m +2m -9

-10m -9

Answer:

13.93

Step-by-step explanation:

use the Pythagorean theorem

Answer: -2

Step-by-step explanation:

When x is 0, y is -2.

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Answer:

Step-by-step explanation:

y= -1/4x

Answer:

546EEergh

Step-by-step explanation:

455/4355

Answer: 4.44

HOPE THIS HELPS

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

Answer:

C = 88

Step-by-step explanation:

So, we know that the circle passes thru the point (20,2), and it's center is (6,2).

The general definition of a circle's radius is the distance from the center to any point on the circle!

Vertically, these points are the same - so if we just subtract 20 from 6 we know the distance between the center and this point on the circle!

[tex]20 - 6 = 14\\r=14[/tex]

Anyhow, we now know that the radius is 14. and the equation for a circle's circumference is as follows:

[tex]r2\pi \\or\\d\pi[/tex]

Insert the values into the equation....

[tex]C = 3.14(14)(2)\\C=87.92[/tex]

87.92 ≈ 88.00

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9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...

  2(10x -23)° +106° = 360°

  2(10x -23) = 254 . . . . . . . . divide by °, subtract 106

  10x -23 = 127 . . . . . . . . . divide by 2

  10x = 150 . . . . . . . . . . add 23

  x = 15 . . . . . . . . . . . divide by 10

Answer:

First Question:

A) -15+20x B) 36x+28

Second Question:

-10/5, 1/25, 1/2, 3/5, 5/8

Answer:

D

Step-by-step explanation:

225 is the closest to point (200, 200)

Answer:

c

Step-by-step explanation:

trust

Answer:

a_{n} = a_{1} + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.

Area of triangle: 3m

Area of rectangle: 24m

Area of semi-circle: 6.28m

Answer:

33.28 m²

Step-by-step explanation:

The figure consists of three shapes:

1) A semicircle of radius 2 m.

2) A rectangle 4 m by 6 m.

3) A triangle with base 3 m and height 2 m.

area = ½πr² + LW + ½bh

area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2

area = 6.28 m² + 24 m² + 3 m²

area = 33.28 m²

Answer: 4.40

Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11

so 4.40x2.5=11

Recall the ideal gas law:

P V = n R T

where

P = pressure

V = volume

n = number of gas molecules

R = ideal gas constant

T = temperature

If both n and T are fixed, then n R T is a constant quantity, so for two pressure-volume pairs (P₁, V₁) and (P₂, V₂), you have

P₁ V₁ = P₂ V₂

(since both are equal to n R T )

Solve for V₂ :

V₂ = P₁ V₁ / P₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL

Answer:

To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.

A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.  

To find the circumference of the full circle, we need the formula:

C = 2πr  

Circumference = 2 x pi x radius

Radius is half of the diameter, so 12 inches.

C = 2 x pi x 12

C = 75.36 inches

75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.

Answer:

7 will lie on 0 and 1 and 1/2

Answer:

0.44

Step-by-step explanation:

44/100 as a decimal is 0.44.

Hope this helped!!!

The decimal equivalent to the fraction 44/100 is 0.44.

We have,

To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):

44 ÷ 100 = 0.44

The concept used to find the decimal equivalent of a fraction is division.

By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.

Therefore,

The decimal equivalent to the fraction 44/100 is 0.44.

Learn more about expressions here:

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Answer:

The answer is: B.)32.0–32.1 ounces

Step-by-step explanation:

Got it right on my test

The true statement is The median weight for both types is between 32.0 and 32.1 ounces.

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.

Given:

Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.

The median weight for brand B is less than the median weight of brand A.

So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.

Learn more about data here:

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Answer:

3

Step-by-step explanation:

I think

Answer:

less than or equal to 3

Step-by-step explanation:

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724  square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

Answer:

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

Because:

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{4} * 3 = [\ ][/tex]

Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

Required

Fill in the box

[tex]\frac{1}{4} * 3 = [\ ][/tex]

This can be written as:

[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]

Solve the numerator

[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]

(b) Because

[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]

The above implies that

[tex]\frac{1}{4}[/tex] be added in 3 places

i.e.

[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]

Answer:

The numbers 6, 9 , and 42

Step-by-step explanation:

Fraction

6/10

9/100

42/100

Decimal

0.6

0.09

0.42

Percent

60%

9%

42%

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

Answer: C. Use the numbers 1-3 to represent all the outcomes.

Step-by-step explanation: I got this question correct on Edmentum.

Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)

Answer:

A sample of 6758 would be needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.

This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?

This is n for which M = 0.01. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]

[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]

[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]

[tex]n = 6757.5[/tex]

Rounding up:

A sample of 6758 would be needed.

Answer:

36.6

Step-by-step explanation:

The amount of area Lisa will paint is 288 square inches.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to determine the area Lisa will paint:

From the question, we have the following parameters that can be used in our computation:

Triangular prisms (1) to (6)

The area Lisa will paint is the literal surface of the shape

Using the above as a guide, we have the following:

Literal Area = (a + b + c) * h

Where

a, b and c = 6, 8 and 10

h = 12

Substitute the known values in the above equation, so, we have the following representation

Literal Area = (6 + 8 + 10) * 12

Evaluate

Literal Area = 288

The above is the literal surface area of the prism

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Answer:

c

Step-by-step explanation:

hope it helps