Drag each system of equations to the correct location on the graph. Match each system of equations to its point of intersection. y = -x + 2 y = 2x − 3 y = -x + 2 y = 2x − 1 y = -x + 2 y = 5x + 2 y = 5x + 2 y = -x − 1 y = -x − 1 y = 2x − 3

Answer:

1. [tex]2(x+2)(x+5)[/tex]

2. [tex]8(x+4)^{2}[/tex]

Step-by-step explanation:

Problem #1:

1. Find the GCF (Greatest Common Factor)

[tex]GCF = 2[/tex]

2. Factor out the GCF and simplify.

[tex]2(x^{2} +7x+10)[/tex]

3. Factor [tex]x^{2} +7x+10[/tex]

Which two numbers add up to 7 and multiply to 10?

2 and 5

Rewrite the expression using the above.

[tex](x+2)(x+5)[/tex]

4. Done!

[tex]2(x+2)(x+5)[/tex]

Problem #2:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=8[/tex]

2. Factor out the GCF and simplify.

[tex]8(x^{2} +8x+16)[/tex]

3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]

[tex]a = x\\b=4[/tex]

[tex](x+4)^{2}[/tex]

4. Done!

[tex]8(x+4)^{2}[/tex]

the greatest common factor (GCF) of 12, 24, and 48 is 12.

Answer:

GCF of 24 and 48 is 24

Step-by-step explanation:

Answer:

yeah you're good

Step-by-step explanation:

Answer:

so far i got A and C

Step-by-step explanation:

if its incorrect im sorry

Answer:

q = 2 centimeters

Step-by-step explanation:

Answer:

y intercept is at (0,-4) and you run 1 and rise 2 each time

brian mclogan has great videos on this!

Answer:

1047m = c

Step-by-step explanation:

You have to multiply to get the amount you started with

Answer:

-3 and -7

Step-by-step explanation:

x^2+10x+21=0

(x+3)(x+7)=0

x=-3

x= -7

Answer:

0.6

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Use the triangle angle sum theorem which states that the interior angles of a triangle sum to 180. Notice the box in the corner of the triangle. This means that angle is 90 degrees.

61+90+x= 180. Combine like terms.

151+x=180. Subtract 151 from both sides.

x= 29

Answer:

How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometres for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.

Answer:

49

hope it helps, kaul

thanks

Answer:

49

Step-by-step explanation:

[tex] { (\sqrt[3]{343} )}^{2} [/tex]

(B.E.D.M.A.S rule) [First within the brackets]

[tex]{ (\sqrt[3]{7 \times 7 \times 7} )}^{2} [/tex]

[tex] {7}^{2} [/tex]

[Then exponents]

= 49 (Ans)

Answer:

150.12

Step-by-step explanation:

From the observation deck of a lighthouse 70 meters above sea level, the lighthouse keeper can see a fishing boat at a 25 degree angle of depression.What is the horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat?

We solve the above question using the Trigonometric function of tan

tan y = Opposite /Adjacent

y = 25°

Opposite = 70m

Adjacent = x = Horizontal distance

Therefore:

tan 25 = 70m/x

tan 25 × x = 70m

x = 70m/tan 25

x = 150.11548444m

Approximately = 150.12m

The horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat is 150.12m

Answer:

Step-by-step explanation:

Opposite / adjacent = tangent

Answer:

we have relationship between base and perpendicular is given by tan angle

tan29= perpendicular/base

tan29=19/x

doing crisscrossed multiplication

x=19/tan29=34.3

Answer:

x = 3.5 or 16/5 or 3 1/5

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

79.94 $

Step-by-step explanation:

Son montant de paiements par quinzaine = Toutes les deux semaines = 75 $

Ces frais de crédit sont de 128,50 $.

Nous avons 52 semaines dans un an

Puisqu'il paie toutes les deux semaines = 52/2

= 26 semaines

Frais de crédit = 128,50 $ / 26

= 4,94 $

Son montant de paiements par quinzaine = 75 $ + 4,94 $

= 79,94 $

Answer:

76 I think

Step-by-step explanation:

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

Answer:

Your Correct answer for this question is the first option.

Step-by-step explanation:

The Four 1 tiles on the first half of 4x+2 represent the 4, and the x represents the variable! Then the question is separated by a plus sign and Two more 1 tiles, which represent 4x+2

Step 1:

Add all the tiles from the first sector of the question before the +.

(1+1+1+1+x) = 4x

Step 2:

Add the second sector together.

(1+1) = 2

Step 3:

Combine all sectors together.

(4x) + (2) = 4x +2

Have a great day!

Answer:

Step-by-step explanation:

the first one

Answer:

210cm

Step-by-step explanation:

Just do Radius times two, then multiply that answer and 15

Answer:

The second option.

Step-by-step explanation:

I did this quiz before, here is an explaination.

You add 0 to 81.3 and it becomes 81.30, then you're able to subtract it from 6.45, you subtract from left to right to find the answer with regrouping!

Answer:

Step-by-step explanation:

Point A

Answer:

its -5. The y intercept is where the line touches the y axis

i think its (x , y) -> (x + 9, y - 9)

Answer:

w = 3, w = -⅕

Step-by-step explanation:

See attached image

Answer:

Step-by-step explanation:

Answer:

Mark!

Step-by-step explanation:

say you have 20 cookies, Mark ate on fifth so that would be 4, bringing him with 16 left

Chris ate 1/4 which would be 5, he would have 15 left

Answer:

3/5

Step-by-step explanation:

the sin of an acute angle in a right triangle is the ratio of the opposite side to the hypotenuse

24/40=3/5

Answer:

sine of Z = 36.87 (36.86989765 to be exact)

Step-by-step explanation:

Remember SOH-CAH-TOA

Sine=OH=opposite/hypotenuse.

You want to find the angle of Z so, theta Z= 24/40 (O/H)

On your calculator, put inverse sine(sin ^-1) of 24/40.

So, sin-1 (24/40)=36.87 degrees.