The area of a parallelogram with a side of 5.6in. is equal to the area of a rectangle with a sides 7in. and 8in.

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Answer:

x = 33°

Step-by-step explanation:

57 + 90 + x = 180

147 + x = 180

x = 33

Answer:

7 hundredths

Step-by-step explanation:

add 4 to 6 and take away 3

Answer:

7 hundreds..................

The range of days to have 500 pounds left is 30 - 17.5 days

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8

The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days

but due to accident 125 pounds are not good

Therefore the new pound of bamboo = 900- 125 = 875 pounds

The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds

therefore no of days on 375 pounds = 375/30 = 12.5

Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days

The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days

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Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)

In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;

f(x) = √x

g(x) = -√9(x - 1) + 2

\(g(x) = -\sqrt{9(x - 1)} + 2\)

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The function that correctly matches the given values is f(x) = −5/3x + 8/3.

A function f(x) is given to us. he function is linear in nature. We are given two values for the function. The values are f(−2) = 6 and f(4) = −4. We are given four possible equations for the function f(x). The first equation is f(x) = −1/2x + 5. The values are f(−2) = 6 and f(4) = 3. The second equation is f(x) = −5/3x + 8/3. The values are f(−2) = 6 and f(4) = −4. The third equation is f(x) = −1/2x − 2. The values are f(−2) = −1 and f(4) = −4. The fourth equation is f(x) = 2x + 10. The values are f(−2) = 6 and f(4) = 18.

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Answer:

96

Step-by-step explanation:

.............................

Answer:

A. m = -6

Step-by-step explanation:

To calculate the total surface area of a triangular prism, we need to find the area of each face and add them up.

The triangular faces have base 5cm and height 12cm, so each one has an area of:

(1/2) x 5cm x 12cm = 30cm²

There are two of these faces, so their combined area is:

2 x 30cm² = 60cm²

The rectangular faces have dimensions 5cm x 10cm and 5cm x 13cm, so their areas are:

5cm x 10cm = 50cm²

5cm x 13cm = 65cm²

Again, there are two of these faces, so their combined area is:

2 x (50cm² + 65cm²) = 230cm²

Finally, we add up the areas of all the faces to get the total surface area:

60cm² + 230cm² = 290cm²

Therefore, the total surface area of this triangular prism is 290cm².

Answer:

1

Step-by-step explanation:

Answer:

3X + 6 = 3

Step-by-step explanation:

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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Answer:

C

Step-by-step explanation:

slope of line perpendicular to y+10=4/7(x-28) is 4/7

slope of line perpendicular to above line is -7/4

eq. of line through (-6,-18) with slope -7/4 is

y+18=-7/4(x+6)

Answer:

20°

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Answer:

<G=20°

Step-by-step explanation:

Every angle in a triangle, always adds up to be 180°. so Here you would subtract 180-80-80= 20

there for <G=20°

Hopefully this helps

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer:

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

Intersection point is the midpoint of either diagonal.

Let's take QS and calculate midpoint using midpoint formula:

Point (-0.5, 2) is the answer

Answer:

Step-by-step explanation:

z/2=6, z=3

When two triangles' corresponding sections are equal, according to the CPCTC theorem, two triangles are congruent. The term CPCTC means "Corresponding sections of congruent triangles are congruent".

Congruent:

If the size and shape of two triangles exactly match, they are said to be congruent. Angles and sides on two congruent triangles have the same number of sides and angles. The abbreviation CPCTC means Corresponding Parts of Congruent Triangles are Congruent. According to the CPCTC theorem, any corresponding component of a triangle that is congruent with another is also congruent with its counterpart. This demonstrates how congruent or equal-sized sides and angles surround two or more congruent triangles.

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Answer:

(C)Out of 5,000 randomly chosen children, 250 children carry the virus.

Step-by-step explanation:

\(\text{Option A}: \dfrac{210}{5000}=0.042=4.2\% \\\text{Option B}: \dfrac{3}{60}=0.05=5\% \\\text{Option C}: \dfrac{250}{5000}=0.05=5\% \\\text{Option D}: \dfrac{1}{20}=0.05=5\%\)

The higher the research sample, the more credible the results. In options A and C, the research sample was 5000. However, since the relative frequency of children carrying the virus is 5% in both, we take the result with a higher number of positives.

Option C is the correct option.

Answer:

b

Step-by-step explanation:

answer is b

Answer:

C or b

Step-by-step explanation:

i looked the same answer

Answer: 9/7

Step-by-step explanation:

(7/9)^-1 means you have to find the reciprocal, which is 9/7

Answer:

9/7

Step-by-step explanation:

with any negative power, we have to find the reciprocal of the base. in this case, it is 9/7. then, apply the exponent to the fraction. now, it is 9^1 over 7^1. we can just write it as 9/7 because if the exponent is 1, it is just the value of the base, so it is not written.

Answer:

1)( y= 0.12 * x )             y(dependent) , x(independent)                                                                     2)  x=150 : y=18  /  x=300 : y=36  / x=450 : y=54  /  x=600 :   y=72  /  x=750 : y=90 / x=900 : y=108                                                                                                  3) 300+750+1050=2100 pound

 2100*0.12=252 pound food they need to eat in each day

252*7=1764 pound in each month

According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.

In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.

According to the given information:

The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:

Length of arc = (angle/\(360\)) x \(2\pi r\)

where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).

Substituting the given values, we have:

Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)

Length of arc = \((1/4)\) x \(2\pi ft\)

Length of arc = \(\pi /2 ft\)

Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)

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the length of the 90° arc is π/4 feet or approximately 0.785 feet

What is arc of circle?

In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.

The formula for the length of an arc is:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.

In this case, θ = 90° and r = 1 ft, so we have:

L = (90/360) × 2π(1) = (1/4) × π = π/4

Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).

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Answer:

60

Step-by-step explanation:

\(45 \div \dfrac34=\dfrac{45}{1} \div \dfrac34=\dfrac{45}{1} \times \dfrac43=\dfrac{45\times 4}{1\times 3} =\dfrac{180}{3}=60\)

Answer:

60

Step-by-step explanation:

45:3/4=x:1

\(x = \frac{45 \times 1} { \frac{3}{4} } \\ x = 45 \times \frac{4}{3} \\ x = 60\)

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

D) (x+2) (x+2)  

Step-by-step explanation:

Answer:

EZ(we're doing this right now): (x+2)(x+2)

Step-by-step explanation:

Let's factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 4

Multiply together to get 4

Can you think of the two numbers?

Try 2 and 2:

2+2 = 4

2*2 = 4

Fill in the blanks in

(x+_)(x+_)

with 2 and 2 to get...

(x+2)(x+2)

Answer:

(x+2)(x+2)