X+6y=10 x+5y=9
Use elimination to solve the following equations

Answer: (-3, 0) and (-1, 0)

Step-by-step explanation:

[tex]-4x^2-16x-12[/tex]

[tex]\mathrm{Rewrite\:}-16\mathrm{\:as\:}-4\cdot \:4[/tex]

[tex]\mathrm{Rewrite\:}-12\mathrm{\:as\:}-4\cdot \:3[/tex]

[tex]=-4x^2-4\cdot \:4x-4\cdot \:3[/tex]

[tex]\text{Factor out common term -4}[/tex]

[tex]=-4\left(x^2+4x+3\right)[/tex]

[tex]x^2+4x+3[/tex]

[tex]=\left(x^2+x\right)+\left(3x+3\right)[/tex]

[tex]=x\left(x+1\right)+3\left(x+1\right)[/tex]

[tex]\mathrm{Factor \ out \ common \ term \ x+1}[/tex]

[tex]=\left(x+1\right)\left(x+3\right)[/tex]

[tex]=-4\left(x+1\right)\left(x+3\right)[/tex]

Roots:

x + 3 = 0    and    x + 1 = 0

x = 0 - 3               x = 0 - 1

x = -3                   x = -1

Therefore, the zeroes of the function are (-3, 0) and (-1, 0)

Answer:

254.47sqft (square feet) of paint

Step-by-step explanation:

The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.

Answer:

 [tex]\frac{c-3p}{7}[/tex]

Step-by-step explanation:

1) 4(2a+p)=c+p+a

2) Expand: 8a+4p=c+p+a

3) subract a and 4p: 7a=c-3p

4) Divide: a=[tex]\frac{c-3p}{7}[/tex]

Answer provided by Education Point

Answer:

Step-by-step explanation:

From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary

========================================================

Explanation:

The drawing is shown below.

Notice that 23 + 67 = 90, or you could say 90-67 = 23.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(23) = x/903

x = 903*tan(23)

x = 383.300759 approximately

x = 383.30

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

The AAS congruence theorem states that if two triangles have two pairs of corresponding congruent angles, and a pair of corresponding non-included side that are congruent, then both triangles area congruent.

To prove that ΔFRY ≅ ΔFLY, the proof that shows they are congruent by the AAS congruence theorem is:

S1: ∠YLF ≅ ∠FRY (Given)

S2: ∠RFY ≅ ∠LFY (Given)

S3: FY ≅ FY (Transitive property)

S4: ΔFRY ≅ ΔFLY (AAS theorem)

Learn more about the AAS Theorem on:

https://brainly.com/question/4460411

Answer:

6.4

Step-by-step explanation:

she has been riding her bike for 6.4 hours.

Answer:

Step-by-step explanation:

Given function:

The function is linear and it represents:

According the above explanation the correct answer choice is C

Slope intercept form of a line is given by y=mx+b

Compare to our given function

Here

As it's about height

The rate of change in height is denoted here

Option C is correct

Answer:

8

Step-by-step explanation:

The required, following the given condition of the equation model,  8 times 8 equals 64.

We start with the equation 8x = 64, where x represents the unknown value we're trying to find. The equation states that when we multiply 8 by x, the result is 64.

To solve for x, we want to isolate it on one side of the equation. In this case, we can achieve this by dividing both sides of the equation by 8. Dividing both sides by 8 gives us:

8x = 64

(8x) / 8 = 64 / 8

Simplifying, we have:

x = 8

Therefore, 8 times 8 equals 64.

Learn more about the equation here:

https://brainly.com/question/30856398

#SPJ6

Answer:

the answer is A. 2

Step-by-step explanation:

4x+2 has to be half of 2x+16

then 4x+2=10 and 2x+16=20 therefore it is correct

rate brainiest

Answer:

3 times bigger

Step-by-step explanation:

[tex]circumference \: of \: a \: circle \: has \: the \: formular \\ c = 2\pi \: r \\for \: the \: original \: circle \: c = 2 \times 3.14 \times 10 = 6.28 \\ = 63 \: approxiately \\ for \: the \: new \: circle \: c = 2 \times 3.14 \times 30 = 188.8 \\ = 188 \: approximately \\ them \: \frac{188}{63} =2.984 \\ = 3 \: approximately \\ therefore \: the \: bigger \: circumferene \: is \: 3 \: times \: the \: smaller \: circumference[/tex]

t = 180 - 66 - 57 = 57°

Answer:

f(5)=26

Step-by-step explanation:

hello :

f(n)=f(n-1)+4   means :  f(n)-f(n-1)=4  (comon diference for arithm - sequence)

so : f(n) =f(1)+(n-1)×4

f(n) =10+(n-1)×4

f(n) = 4n+6

f(5) = 4(5)+6 =26

Answer:

3 7/8 would be your answer

Answer:

1,900 miles in 3 days is going fast than 2,700 miles in 3 days

Step-by-step explanation:

1,900 divided by 2 is = 950

2,700 miles divided in 3 days is = 900

Answer:

your family traveled faster

Step-by-step explanation:

your family traveled 1,9000 miles in 2 days and to find speed you need to divide 1,900 by 2 (answer is 950)

do the same for 2,700 and 3 (900 is answer)

compare the two and you have your answer!

Hope this helps and that you have a wonderful evening/day!

Answer:

6.5

Step-by-step explanation:

all you have to do is substitute x with 2.5 in the equation and you can find y.

scenario - as it describes the story and the character's action.

Ella wrote 8 more stories than Anna in the fifth grade.

let s, be the number of pages Anna wrote.

Expression:

s + 8

Answer:

13 [tex]\frac{1}{3}[/tex]% are green

Step-by-step explanation:

totalling the marbles

red = 6

blue = 7

green = 4

orange = 13

total marbles = 6 + 7 + 4 + 13 = 30

fraction of green marbles = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]

To change a fraction to a percentage multiply the fraction by 100%

[tex]\frac{2}{15}[/tex] × 100% = 0.1333.. × 100% = 13.33 % = 13 [tex]\frac{1}{3}[/tex]%

Answer:

The price for each pound of tuna is not always the same.

Step-by-step explanation:

What we do is divide the price by the amount of tuna to find the price for each amount of tuna

For the 1st one, we have $8 for 2 tuna so we do 8/2

8/2 = 4

For the 2nd we have $16 for 4 so we do 16/4

16/4 = 4

For the 3rd, we have $27 for 9 so we do 27/9

27/9 = 3

Answer:

-3

Step-by-step explanation:

a= -4

So the first and second should be multiply together

first=-4

second=12

12/-4=-3

Answer:

W = 17

Step-by-step explanation:

Hi! Ok so the equation is: 24=2w-10

24=2w-10 First add =10 to each side

10+24= 2w +10 -10 the tens on the right cancel.

34=2w then divide each side by negative two

(34/2)=(2/2)w can be simplified to 17=w

Answer:

(0, 0) : traveling 0 inches in 0 seconds

(1, 1.5) : traveling 1.5 inches in 1 second

(3, 4.5) : traveling 4.5 inches in 3 seconds

The unit rate is

1.5 inches a second

1.5 / 1 i think thats how you write it

Answer:

D.

Step-by-step explanation:

4(5 + 8)

= 4*5 + 4*8

= 20 + 32

Answer: 12,500

Step-by-step explanation:

     Since 25% voted for Mulroney, we will find 25% of 50,000.

     25% -> 0.25

     0.25 * 50,000 = 12,500

I predict that 12,500 registered voters would vote for Mulroney.

Answer:

this is easy the a sewer is 12

Answer:

First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

That 6 should be -6

Let me solve it for you

[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]

So

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]

keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.

Answer:

114

Step-by-step explanation:

just add all sides together.

Answer:

91 cm

Step-by-step explanation:

Perimeter is adding all of the side lengths:

8+32+10+10+4+4+23=91

Don't forget to add the unit:

91 cm

Step-by-step explanation:

a scale factor normally applies to lengths (one-dimensional sizes).

the perimeter of a triangle is calculated only by using lengths, so we can apply the scaling factor directly to the perimeter.

perimeter of the new triangle = 2 × perimeter of the old triangle = 2×8 = 16