Solve each pair of equations by substituting


2x + y = 3
4x + 3y = 1

Answer:

Option D, (-6, 8)

Step-by-step explanation:

Since it is reflected across the x-axis, that means the y values flip their signs.

Since D was (-6, -8) flip the y value you get (-6, 8)

Answer:  Option D, (-6, 8)

Answer:

D. (-6, 8)

Step-by-step explanation:

correct on EDGE

Answer:

(i) The length of AH is 7.3784 m

(ii) The length of HC is 10.9389 m

Step-by-step explanation:

The sum of the angles ABC, BAC and ACB is 180º, hence, ACB = 180-90-56 = 34º. Note also that AH breaks the rectangle triangle ABC into 2 rectangle triangles AHB and AHC.

i) In AHB, AB is the hypotenuse, and the angle ABH is equal to ABC, hence it is 56º. AH is the opposite side of that angle and we know that

Sin(ABH) = opposite/hypotenuse = AH/8.9

Thus,

AH = 8.9*Sin(ABH) = 8.9*Sin(56º) = 7.3784 m

ii) In AHC, AH is also the opposite of the angle ACH (which meassures 34º), and HC is the adjacent of that angle (the hypotenuse is AC). As a result

Tan(ACH) = Tan(34º) = 0.6745 = opposite/adjacent = AH/HC = 7.3784/HC

Hence,

HC = 7.3785/0.6745 = 10.9389 m

Final answer:

AH = 8.9 m, HC = 0 m

Explanation:

Given that triangle ABC is right-angled at A, we can use trigonometry to find the lengths of AH and HC.

To find the length of AH, we can use the sine of angle BAC:

AH = AB * sin(BAC) = 8.9 * sin(90°) = 8.9

Since AH = 8.9 m, we can find the length of HC by subtracting AH from BC:

HC = BC - AH = 8.9 - 8.9 = 0 m

To solve this problem, we simply must plug in the values.

gz/g + z ⇒ [tex]\frac{12(9)}{12}[/tex] or 9.

When we plug in 12 for g and 9 for z, we will find that option C is correct.

The balance after 2 years will be $1872.72.

To find the balance after 2 years when you deposit $1800 into a savings account that earns 2% interest compounded annually, we can use the compound interest formula:

[tex]\[ A = P(1 + r)^n \][/tex]

Where:

- A is the amount of money accumulated after n years, including interest.

- P is the principal amount (the initial amount of money).

- r  is the annual interest rate (expressed as a decimal).

- n is the number of years the money is deposited for.

Given:

[tex]- \( P = $1800 \)[/tex]

[tex]- \( r = 2\% = 0.02 \)[/tex] (expressed as a decimal)

[tex]- \( n = 2 \)[/tex] years

Plug these values into the formula and solve for A :

[tex]\[ A = 1800(1 + 0.02)^2 \][/tex]

[tex]\[ A = 1800(1.02)^2 \][/tex]

[tex]\[ A = 1800(1.0404) \][/tex]

[tex]\[ A = 1872.72 \][/tex]

Imagine a right triangle where a and b are the legs and c is the hypothenuse.

Pitagora: a²+b²=c²

Divide by c

(a/c)²+(b/c)²=1

But a/c=sin(B) and b/c=cos(B)

Thus sin² + cos² = 1

Answer:

-7(6 x t) *2

Step-by-step explanation:

Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

John answered 24 questions correctly out of 30 by answering 80% of the questions correctly.

To determine how many questions John answered correctly, we can use the information that he answered 80% of the 30 questions correctly. We can follow these steps to find the answer:

0.80 * 30 = 24

Therefore, John answered 24 questions correctly out of the 30 questions on the test.

Answer:

t = 2 years and 6 months

Step-by-step explanation:

in order to solve this :

t = I/Pr

now input the values given

[tex]t = \frac{81}{1200 * \frac{2.7}{100} }[/tex]

t = 2.5

this means 2.5 years , we can make this value exact :

2.5-2 = 0.5

0.5 * 12 months = 6 months

hence t = 2 years 6 months

Answer:

Step-by-step explanation:

Factor using the perfect square rule.(5x−2)2

answer  using factor

Answer: 25x2+40x+16

Step-by-step explanation:

Answer: 20p

Step-by-step explanation:

20/(20p^2)          evaluated the power of 2

20/400p              divided 400/20

20p                      answer

Hope i could help i added step by step please give me brainliest

Answer:

False

Step-by-step explanation:

A cubic centimeter refers to a cube because it would be LWH (Lengeth * Width * Height) and if they were all one centimeter the volume would be 1 cubic centimeter. If it was a centimeter squared then it would be a square with 1 cm long sides.

Answer:

[tex]x (z) +2y/z[/tex]

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The answer is going to be 160.

Answer:

158

Step-by-step explanation:

40 is about 88% of 45,

88% of 180 is 158.4,

I'm assuming you need whole days so that would be 158

Answer:

2w + 13

Step-by-step explanation:

Step 1:  Distribute

-2(w - 5) + 4w + 3

-2w + 10 + 4w + 3

Step 2:  Combine like terms

-2w + 10 + 4w + 3

2w + 13

Answer:  2w + 13

[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex] is the equation correctly shows the radius.

Option B

Step-by-step explanation:

The cylinder’ volume (density) indicates how much amount of materials it can able to carry or how much amount of material it can immerse in it. The formula for volume of cylinder is given as:

                      [tex]V = \pi r^{2}h[/tex]

where

V = volume of cylinder

r = radius of cylinder

h = height of cylinder

In order to find radius following simplifications are done:

⇒[tex]V = \pi r^{2}h[/tex]

Keep the factor 'r' in one side and keep other in one side as below,

⇒ [tex]\frac{V}{\pi h } = r^{2}[/tex]

Taking square root on both sides,

⇒[tex]\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h }[/tex]

⇒[tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex]

Therefore, option b is correct as [tex]r^{}} = \sqrt{\frac{V}{\pi h }[/tex].

Answer:

X=32 and Y=12

The two numbers are 32 and 12

Step-by-step explanation:

Let the number be represented by X and Y

X = 20 + Y-------- equation 1

3X - Y = 84------- equation 2

solving the equation by substitution;

we substitute equation 1 into equation 2, we have;

3(20+Y)-Y = 84

expanding the bracket;

60 + 3Y - Y = 84

60 + 2Y = 84

2Y = 84 - 60

2Y = 24

divide both sides by 2;

2Y/2 = 24/2

Y = 12

from equation 1, we can find X by using the value of Y;

X = 20 + Y

X = 20 + 12

X = 32

PROOF:

using equation 2;

[3*32]-12=84

96-12=84

84=84

Answer:

48

Step-by-step explanation:

c÷4=12

4×c÷4=4×12

c=48

Graph B is the only straight line, thus the linear function of x and the correct option is B.

A linear function is a function whose graph is a straight line. This means that for any two points on the graph, the change in y divided by the change in x is always the same.

Looking at graph B, we can see that the line is perfectly straight. This means that the change in y divided by the change in x is always the same, regardless of where we are on the line.

Therefore, graph B is a linear function of x.

Graphs A, C, and D are not linear functions of x. Graph A is a quadratic function, meaning that its graph is a parabola. Graph C is a piecewise function, meaning that its graph is made up of two different lines. Graph D is an exponential function, meaning that its graph curves upward.

Therefore, the correct option is B.

The number of fluid ounces equivalent to 12 1/4 cups is; 98 fl Oz.

It follows from the task content that it is required to determine the number of fluid ounces in 12 1/4 cups.

Since, 1 Cup contains 8 fluid ounces; it therefore follows that 12 1/4 cups will contain;

= 12 1/4 × 8

= 98 fl Oz.

Read more on conversion;

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Answer:

D. y = -x

Step-by-step explanation:

Hope this helps.

Brainliest...??

Answer:

7/4

Step-by-step explanation:

The slope of Q is (9-5)/(3-10) = -4/7

Perpendicular lines' slopes are opposite reciprocals of eachother (so the +/- changes and then x/y becomes y/x).

This means the slope of R is 7/4

The required slope of line R will be 7/4.

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

Two lines are perpendicular if the product of their slopes is -1.

The line Q is given which passes through points (3,9) and ( 10,5)

Let

x₁ = 3,  y₁ = 9

x₂ = 10, y₂ = 5

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Substitute values in the formula

The slope of line Q will be:

m = (9-5)/(3-10)

m = -4/7

Since line R is perpendicular to Q, so the slope of line R will be

⇒ -1/m

⇒ -1/(-4/7)

Reciprocal the term in the denominator,

⇒ -1 × -7/4

Apply the multiplication operation, and we get

⇒ 7/4

Therefore, the required slope of line R will be 7/4.

Learn about the perpendicular lines here :

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-6x + 5 - (x² – 2x – 6) = -6x+5-x²+2x+6 = -x²-4x+11

Answer:

4•5 is Noah's result, 4+5 is Neithers, 4^5 is Noah's result, and 5^4 is Diego's result

Step-by-step explanation:

I am just trying to help. I hope it works!

Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Noah starts with 0 and then adds the number 5 four times.

i.e. we get,

Noah: 5+5+5+5=20

again, we have,

Diego starts with 1 and then multiplies by the number 5 four times.

i.e. we get,

Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20

so, we have,

that,  For each expression, we get 20

we know,

20 = 4*5

i.e. 4 multiplied by 5.

Hence, Diego's result is the same as Noah's result and that is 4 ⋅ 5,  For each expression.

To learn more on multiplication click:

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Answer:

x = -2 0r x = 6

Step-by-step explanation:

from the question

X² – 4x – 12=0

solve by completing the square method

we have;

X² – 4x – 12=0

X² – 4x = 12

to make the left hand side a perfect square we add 4 to both sides.

X² -4x  + 4 = 12 + 4

X² -4x  + 4 = 16

from left hand side X² -4x  + 4

= (x -2) × ( x -2)

it can be simply expressed as

( x-2)²

so since X² -4x  + 4  has been simplified to be ( x-2)²

then,

( x-2)² = 16

x - 2 = √ 16

since square root has  two values it can either be positive or negative

so we have

x = 2 + √16

or

x = 2 - √16

therefore

x = 2 + √16

x = 2 + 4

x = 6

0r

x = 2 - 4

x = -2

Answer:

-2,6

Step-by-step explanation:

Answer:

[tex]4\sqrt{11}[/tex]

Step-by-step explanation:

you use the Pythagorean theorem, so the longest side is the hypotenuse and so you do 24^2 minus 20^2 to find the shortest side. you would get 176 and you square root this to get about 13.27

Answer:

$660

Step-by-step explanation:

1: Change 5% to a decimal. (0.05)

2: Multiply 600 X 0.05 X 2(years)

3: Add 60 and 600

4: $660

Answer:

$661.5

Step-by-step explanation:

The formula for this question is FV = PV (1 + r)^n so you set it up as 600(1+.05)^2 and you get $661.50 because you  are paying for interest over two years which is n, FV is the future value which is 661.50, PV is previous value which is 600, and r is he interest rate which is .05.

Answer:

6

Step-by-step explanation:

Let the number be A

Given 6 times A is 12+ (4 xA)

That’s

6 x A = 12 + 4A

6A = 12 + 4A

Subtract 4A from both sides

6A - 4A = 12 - 4A - 4A

2A = 12

Divide both sides by 2

A = 12/2

A = 6

The number is 6

Answer:

[tex]y=\frac{3}{31} x[/tex]

Step-by-step explanation:

Written in: y = mx + b

Answer:

y = 3/31x

Step-by-step explanation:

Step 1:  Add 30y to both sides

3x - 30y + 30y = y + 30y

3x = 31y

Step 1:  Divide both sides by 31

3x / 31 = 31y / 31

y = 3/31x

Answer:  y = 3/31x