solve the following system of equations​

Answer:

y-intercept:  -18

x-intercept: 9/4

Step-by-step explanation:

Substitute x = 0, we find that y = -18 i.e. the y-intercept is -18.

Substitute y = 0, we find that x = 9/4 i.e. the x-intercept is 9/4.

Answer:

(a)

[tex]b = 6[/tex] and [tex]a = 5[/tex]

(b) [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,2)[/tex]

[tex](x_2,y_2) = (4,b)[/tex]

[tex](x_3,y_3) = (a,8)[/tex]

[tex](x_4,y_4) = (6,10)[/tex]

See attachment

Solving (a): The values of a and b

First, calculate the slope of the line:

[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]

Let c = 4 and d = 1

[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]

So, we have:

[tex]m = \frac{10 - 2}{6 - 2}[/tex]

[tex]m = \frac{8}{4}[/tex]

[tex]m = 2[/tex]

To solve for the value of b, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 2 and d = 1

So, we have:

[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]

[tex]\frac{b - 2}{2} = 2[/tex]

Multiply both sides by 2

[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]

[tex]b - 2 = 4[/tex]

Add 2 to both sides

[tex]b - 2 +2= 4 + 2[/tex]

[tex]b = 6[/tex]

To solve for the value of a, we apply slope formula

[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]

Let c = 3 and d = 1

[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]

[tex]\frac{8 - 2}{a- 2} = 2[/tex]

[tex]\frac{6}{a- 2} = 2[/tex]

Cross Multiply

[tex]2(a-2) = 6[/tex]

Open bracket

[tex]2a-4 = 6[/tex]

Add 4 to both sides

[tex]2a-4+4 = 6+4[/tex]

[tex]2a= 10[/tex]

Divide both sides by 2

[tex]a = 5[/tex]

Solving (b): The value of y when x = 0.

This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]

Apply slope formula

[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]

Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex]   [tex](x_5,y_5) = (x,0)[/tex]

[tex]\frac{0 - 2}{x - 2} = 2[/tex]

[tex]\frac{- 2}{x - 2} = 2[/tex]

[tex]-\frac{2}{x - 2} = 2[/tex]

Cross Multiply

[tex]-2 = 2 * (x - 2)[/tex]

[tex]-2 = 2 x - 4[/tex]

Collect Like Terms

[tex]4 - 2 = 2x[/tex]

[tex]2 = 2x[/tex]

Divide both sides by 2

[tex]1 = x[/tex]

[tex]x = 1[/tex]

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.

Answer:

600 im pretty sure

Step-by-step explanation:

Answer:

What's the "x" in -3x + 17 = -4?

Step-by-step explanation:

What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?

Answer:

x=7

Step-by-step explanation:

-3x + 17 = -4

-3x=-4-17

-3x=-21

x=7

Answer:

33x - 14

Step-by-step explanation:

5x - 7 (2 - 4x)

5x - 14 + 28x

33x - 14

Answer:

it's 18x-10 and I'm also new and I searched it up in the internet

Step-by-step explanation:

ik online school is hard but they to download Every app thats for school so you can cheat

Answer:

ASA and AAS are two postulates that help us determine if two triangles are congruent. ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. ... ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side

Step-by-step explanation:

Answer:

(2,-2)

I hope this helps:

Answer:

the answer would be A because when u subtract it the answer is $5.21

Answer:

right triangle

Step-by-step explanation:

A Right triangle is a triangle that has one of its angle as 90°.

Since the triangular shaped tiles has a right angle, the kind of triangle Kevin found will be a right triangle.

A right triangle has two acute angles (angles less than 90°) and a right angle

Answer:

the relation is NOT a function

domain: { 1,-2,1}

range:  { -2, 0, 2, 3}

Step-by-step explanation:

Answer:

4

I just know this, theres no explanation.The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Answer:

50:1

Step-by-step explanation:

600/12

1 hour for every 50 PHP

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Answer:

The amount is 4/5 of 5/6 is in 2/3.

Step-by-step explanation:

There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

We have to determine how many 5/6 are in the fraction 2/3.

The numbers are given in the question below

2/3 and 5/6

According to the given question, the required solution would be as:

⇒ 2/3 ÷ 5/6

⇒ (2/3) / (5/6)

Reciprocal the terms of the numerator in the above expression

⇒ (2/3) × (6/5)

Apply the multiplication operation,

⇒ 12 / 15

Reduce the fraction in the simplest form,

⇒ 4/5

Therefore, there 4/5 is 5/6 in the fraction 2/3.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

a = 2

b = 4

c = 8

Step-by-step explanation:

Remember the relationship:

[tex](a^{x})^{y} = a^{x*y}[/tex]

First, in "a" we have:

a) [tex]8^{1/3} = \sqrt[3]{8} = 2[/tex]

then in the next ones, we can use the result that we obtained in the part a:

b) [tex]8^{2/3} = (8^{1/3})^2 = (2)^2 = 4[/tex]

Now we can do exactly the same in c:

c) where first we need to know that:

2*2*2*2 = 4*4 = 16

then:

2^4 = 16

then:

[tex]\sqrt[4]{16} = 16^{1/4} = 2[/tex]

Now let's solve the problem:

[tex]16^{3/4} = (16^{1/4})^3 = (2)^3 = 2*2*2 = 8[/tex]

Answer:

The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Step-by-step explanation:

We need to write an equation in slope-intercept form perpendicular to the given equation through the given point

y = -3x + 4

(6,-2)

The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope:

The given line is perpendicular to required line, so there slopes are opposite

The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)

The slope of required line is: [tex]m = \frac{1}{3}[/tex]

Finding y-intercept:

y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)

[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]

So, we get y-intercept b =0

Equation of required line:

So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:

[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Answer:

4.5

Step-by-step explanation:

3+1.5=4.5

Answer:

[tex]\frac{x - 61}{x}[/tex]

Step-by-step explanation:

Let x = total number of hats sold

hat left after sales = x - (47 + 14 ) = x - 61

x - 61 / x

Answer:

The answer could be anything, but if it's an arithmetical sequence, then it's 14.

Step-by-step explanation:

I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.

Answer:

250 feet

Step-by-step explanation:

If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.

a= 200

b= 150

c= ?

40,000 + 22,500 = c^2

62,500 = c^2

c = √62,500

∴ c = 250

Answer:

The line test is the third graph that shows a vertical line with two points plotted.

Step-by-step explanation:

A line test is used to determine if a graph is a function. Every input should only have one output. Since when she inputs 1.5 she gets two different answers it is not a function.

Answer:

The length of the missing leg:

Step-by-step explanation:

Given

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

We can find the length of the leg b using the formula

[tex]b=\sqrt{c^2-a^2}[/tex]

substituting c = 10 and b = 6 in the formula

[tex]b=\sqrt{10^2-6^2}[/tex]

[tex]b=\sqrt{100-36}[/tex]

[tex]b=\sqrt{64}[/tex]

[tex]b=\sqrt{8^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]b=8[/tex] mi

Therefore, the length of the missing leg:

Answer:

point

Step-by-step explanation:

because it's a point and it doesn't have a line.

Answer:

x+24<100

Step-by-step explanation:

Answer:

0.0000000000000000..00000000000000000000000

Step-by-step explanation: