7. Graph the equation using the slope and the​ y-intercept.
Please help

Answer: H

Step-by-step explanation:

Using Elimination Method:

[tex]2x + 9y = 11 \\ 3x + 8y = 18 \\ 3(2x + 9y = 11) =( 6x + 27y = 33 )\\ - 2(3x + 8y = 18) = ( - 6x- 16y = - 36) \\ 11y = - 3 \\ y = \frac{ - 3}{11} \\ 2x + 9( \frac{ - 3}{11} ) = 11 \\ 2x - 9( \frac{3}{11} ) = 11 \\ 2x - \frac{27}{11} = 11 \\ 2x = 11 + \frac{27}{11} \\ 2x = \frac{121 + 27}{11} \\ 2x = \frac{148}{11} \\ 2x \div 2 = \frac{148}{11} \div 2 \\ x = \frac{74}{11} \\ x = \frac{ - 3}{11} \\ y = \frac{74}{11} [/tex]

The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.

Then the measures of m angle ∠CAB and m angle ∠CAD will be  

Then we have

We know that

mADC = mAD + mDC

  224° = 180° + mDC

 mDC = 44°

Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have

2 ∠CAD = 44°

  ∠CAD = 22°

Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have

∠CAB + ∠CAD = 90°

   ∠CAB + 22° = 90°

            ∠CAB = 68°

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Reason:

Distance = rate*time

time = distance/rate

time = (38 miles)/(2 mph)

time = 38/2 hours

time = 19 hours

ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.

A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.

Lines EG and FG  are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD

Lines JK ≅ HL because they are both created by parallel lines JL and HI.

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The height of the pencil box is 2 inches

The given parameters are:

Volume = 176

Length = 8

Width = 11

The height of the pencil box is calculated using

Height = Volume/(Length * Width)

So, we have:

Height = 176/(8 * 11)

Evaluate

Height = 2

Hence, the height of the pencil box is 2 inches

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Answer:

2 Inches

Step-by-step explanation:

Good Luck

Answer:

Step-by-step explanation:

If m and n are both 1 then

Minimum value = 10^(1+1) * 3^(1-1) * 225

= 325.

If m and n have to be different, then m = 2 and n = 1

Minimum value = 10^3 * 3^1 * 15^2

= 675,000.

Answer:

If we square both sides then we get

x2-8x+16 = (x-4)2

Now if we expand the right side of the equation we get

x2-8x+16 = (x-4)(x-4)

x2-8x+16 = x2-8x+16

So no matter what x is, the right side will be equal to the left side.

However, if we look at the original equation on the left side, √(x2-8x+16) , the value under the square root symbol has to be greater than or equal to zero (otherwise we get an imaginary number and you might not be working with those yet)

Step-by-step explanation:

So in order for √(x2-8x+16) to be greater than or equal to zero, x has to be greater than or equal to 4. If x is less than 4 you get a negative number. If x is greater than 4, you'll get the same answer on both sides no matter what x is

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 4x - 4x + 16} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{} (x - 4) - 4(x - 4)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 4)(x - 4)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 4[/tex]

Now, it's given that ~

[tex]\qquad \sf  \dashrightarrow \:x \geqslant 4[/tex]

plug the value of x as 4 :

[tex]\qquad \sf  \dashrightarrow \:4 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:0[/tex]

So, we can infer that :

Value of the required expression lies in :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 8x + 16} \geqslant 0[/tex]

it's value is always greater than pr equal to 0, satisfying the given condition ~

Answer:

50

Step-by-step explanation:

Each question is 6%/3 = 2% worth. If each question is worth 2% then total questions must be 50 (cuz that would be 2% x 50 (total question) = 100%).

Explanation:

Volume of rectangular prism: Length * Width * Height

Solve:

1)

Volume: 9 * 9 * 9 = 9³ = 729 cm³

2)

Volume: 7 * 3 * 2 = 42 m³

3)

Volume: 7 * 7 * 7 = 7³ = 343 cm³

Answer:

  60 gallons

Step-by-step explanation:

The amount of 10% solution he should add can be found by writing an equation for the total amount of chocolate in the mix.

__

Let x represent the amount of 10% solution that Augustus needs to add to the 30 gallons of 25% solution. The amount of chocolate in the resulting 15% mix is ...

  0.10x +0.25(30) = 0.15(x +30) . . . . gallons of chocolate in the mix

  0.10(30) = 0.05x . . . . . . . . subtract 0.10x +0.15(30)

  60 = x . . . . . . . . . . . . divide by 0.05

Augustus should add 60 gallons of the 10% solution to make a 15% mixture.

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

From the calculations, we can see that the number of beetles after three years is 11618 beetles.

The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.

In this case we have P = Poe^rt

Po = 10,000

r = 0.05

t = 3

P =  10,000 e^(0.05 * 3)

P= 11618 beetles

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Answer:

9y(c=7) witch means the answer is 8,6

Step-by-step explanation:

I took it and got 5 out of 5 right ✅

Answer: Reflection, translation

Step-by-step explanation:

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]

Answer: D (bottom option)

Not Congruent

Step-by-step explanation:

Assuming the trapezoids are to scale, they are not the same shape. This means that they could not be congruent even if they were centered on top of each other.

The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

The function is given as:

[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]

Set n to 0

[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]

Evaluate

h(0) = 63

This means that the function h(n) has the following parameters:

First term = 63

Rate = -1/3

Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

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The number that still remains under the radical when the expression is in its simplest form is 8.

A radical refers to a root  form. In this case, we can write this number as; 1,250^3/4.

If we try to simplify this in line with the laws of indicies, we have; 4√(1250)^3. If we simpify further, we obtain; (125)4√8.

Thus, the number that still remains under the radical when the expression is in its simplest form is 8.

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Answer: 5

Step-by-step explanation: -2 * 5 = -10      6 * 5 = 30

Answer: [tex]The ~scale~ factor~ is~ 5[/tex]

Step-by-step explanation:

[tex]-2*5 ~is~=-10[/tex]

[tex]6*5=30[/tex]

[tex]We~use~the~distance~formula~to ~determine~the~distance~between ~two ~points.[/tex]

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

Answer:

1. [tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]

2. [tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]

3. [tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]

4. [tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]

Step-by-step explanation:

The Radical Rules by Lial et al. (2017) state that:

Product rule: [tex]\large \textsf{$\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{ab}$}[/tex]

Quotient rule: [tex]\large \textsf{$\sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}$}\ \ \textsf{$(b \neq 0)$}[/tex]

1.

[tex]\implies \normalsize \textsf{$4\sqrt{2}\cdot\sqrt{2}$}\\\\\normalsize \implies \textsf{$4\sqrt{2\cdot2}$}\\\\ \implies \normalsize \textsf{$4\sqrt{4}$}\\\\ \implies\normalsize \textsf{$4\cdot 2 = 8$}[/tex]

[tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]

2.

[tex]\implies \normalsize \textsf{$3\sqrt{7}-2\sqrt{7}$}\\\\ \implies\normalsize \textsf{$(3-2)\sqrt{7}$}\\\\ \implies\normalsize \textsf{$1\sqrt{7}$}\\\\ \implies\normalsize \textsf{$\sqrt{7}$}[/tex]

[tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]

3.

[tex]\implies \normalsize \textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1}{2}$}\\\\[/tex]

[tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]

4.

[tex]\implies \normalsize \textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}\\\\ \implies\normalsize \textsf{$2\cdot2\sqrt{5\cdot5}$}\\\\ \implies \normalsize \textsf{$4\sqrt{25}$}\\\\ \implies \normalsize \textsf{$4\cdot5=20$}\\\\[/tex]

[tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]

Reference:

Lial, M., Hornsby, J., Schneider, D., & Daniels, C. (2017). College Algebra and Trigonometry, Global Edition (6th ed., p. 94).

Answer:

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

Step-by-step explanation:

An example of how to sketch the Ferris Wheel diagram is given in the image attached.

To solve for the angular speed, you can use the formula of"

Given that the diameter is 80 feet, so we know the radius will be 40 feet.

The Ferris wheel bottom is 20 feet high, so we add the radius we get that the middle of the Ferris wheel is 60 feet high.

Finally, the Ferris wheel completes 1 ½ rotation (2π radians) in 1 minutes. So we say that the Ferris wheel is said to spins at π rad/min.

Angular velocity ( 1 ½ rev/1min)( 1min/60 sec)

C = 2π(60)

C ≈ 377.04 feet

540 revolution (1 ½ rotations) is 60 seconds, the speed is then

s = d/t

s = 377.06 ft / 60 sec

s = 6.28 ft/sec

To plot the graph, the  final equation will be h(t) = 40sin(πt + π/2) + 60.

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Answer:

Step-by-step explanation:

Answer:

$73.5

Step-by-step explanation:

*1.05 interest every year

so all you have to do is 70*1.05=73.5

Answer: $73.5

Step-by-step explanation:

Answer: = 3 acres per day

Showing Work

This is a fraction equal to

3 acres ÷ 1 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

3 acres ÷ 1

__________

1 days ÷ 1

=

3 acres

_____

1 day

=

3 acres

______

day

= 3 acres per day

Answer:

binomial

Step-by-step explanation:

i learned about binomials

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.

And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.

From the above information, we can easily conclude that the Correct representation is done in graph 4