Solve the system of equations by substitution. What is the solution for x? (1 point)

2x + y = 1
4x + 2y = −2

let's say

A(-3,1) B(-3,5) C(4,1)

we need to find the perimeter of ABC for that we find each of the sides

AB BC and AC

there is a formula to find the distance between 2 poins

let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5

AB=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

AB=[tex]\sqrt{(-3+3)^2+(5-1)^2}[/tex]

AB=[tex]\sqrt{0^2+4^2}[/tex]

AB=4

we do the same thing for AC and BC

AC=[tex]\sqrt{(4+3)^2+(1-1)^2}[/tex]

AC=[tex]\sqrt{7^2+0^2}[/tex]

AC=7

BC=[tex]\sqrt{(4+3)^2+(1-5)^2}[/tex]

BC=[tex]\sqrt{7^2+(-4)^2}[/tex]

BC=[tex]\sqrt{49+16}[/tex]

BC=[tex]\sqrt{65}[/tex]

The perimeter is equal to the sum of the sides

P=AB+AC+BC=4+7+[tex]\sqrt{65}[/tex]=11+[tex]\sqrt{65}[/tex]

Answer: point b=(-2,0) point c=(0.3)

triangle graph= c at the top b on the left side bottom and a on the right side botton

Step-by-step explanation:

Answer:

The y-values from top to bottom are;

3, 5 , 7, 9, 11, 13, 15

Step-by-step explanation:

Here, we want to fill out the given table

Let us have an equation linking x and y

From the question, we can have this as;

y = 5 + 2x

When x = -1

y = 5 + 2(-1) = 3

when x = 0

y = 5 + 2(0) = 5

when x = 1

we simply add 2 to the previous

= 5 + 2 = 7

when x = 2

= 7 + 2 = 9

when x = 3

= 9 + 2 = 11

when x = 4

= 11 + 2 = 13

when x = 5

y = 13 + 2 = 15

Answer: [tex]\frac{1}{4} +\frac{1}{2}[/tex]

Step-by-step explanation:

given data:

fraction = [tex]\frac{3}{4}[/tex]

Solution:

se can make use of the fraction [tex]\frac{1}{4} + \frac{1}{2}[/tex] to get same answer as shown bellow.

[tex]=\frac{1}{4} + \frac{1}{2}[/tex]

first we look for the lcm of the denominators.

[tex]= \frac{2+1}{4}[/tex]

[tex]=\frac{3}{4}[/tex]

.

Step-by-step explanation:

Given as :

The time period for the car loan = t = 2 years

The rate of interest applied = r = 6% at simple interest

The interest amount = S.I = $264

Let The principal amount which Elsa borrowed = $p

Now, From simple interest method

Simple Interest = 

Or, S.I = 

Or, $264 = 

Or, $264 × 100 = 12 × p

Or,  p = 

∴ p = $2200

So, The principal she borrowed = p = $2200

Hence,The Principal amount that Elsa borrowed for the car loan is $2200 . Answer

Answer:

Step-by-step explanation:

410 ft i think

Answer: 75.6

rounded= 76 ft

Step-by-step explanation:

Tan60= x/400 = 692.8

tan62.5= 4/400 =  768.4

x= 75.6ft

Answer:

P = (18a+10b+13) cm

Step-by-step explanation:

Given that,

A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.

We need to find an expression that represents the perimeter of the triangle.

Perimeter = sum of all sides

P = (10a+9) + (8a-3) + (10b+7)

Taking like terms together,

P = (10a+8a)+10b+(9-3+7)

= 18a+10b+13

Hence, the epresssion for the perimeter is (18a+10b+13) cm.

whenever the line drops to the bottom of the graph the reason is because her speed drops to 0

Answer: 15.7828283 miles

Step-by-step explanation: 5280*12 = 63360. There are 63360 inches in 1 mile. 1000000/63360=15.7828283

Answer:

yo, its

y=x−2

Step-by-step explanation:

Answer:

it is y = x-2

Step-by-step explanation:

Answer:

36.1

Step-by-step explanation:

The speed of the train in china is 267.4 miles per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A train in France can travel at a speed of 217.4 miles per hour.

A train in China can travel 1.23 times this speed to obtain the speed of the train in china we have to multiply how many times it is faster by the speed of the train in France which is,

= (217.4× 1.23) miles per hour.

= 267.4 miles per hour.

learn more about the unitary method here :

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Answer: is 99x + 84 < 1,150

Step-by-step explanation:

Answer:

q= - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Simplify from 3 (q+4/3) = 2 to 3q+3(4/3)=2

Cancel the common factor 3

3q+4=2

3q=2-4

3q=-2

q=-2/3

Answer:

6

Step-by-step explanation:

2(x+2) + 3x

2x + 4 + 3x = 34

5x + 4 = 34

5x = 34–4

5x = 30

x = 30/5

x = 6

9514 1404 393

Answer:

  c) 5n +25q = 365

     2q -4 = n

Step-by-step explanation:

The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...

  2q -4 = n

The face value is 365 cents, so another equation is ...

  5n +25q = 365

These equations seem to match choice C.

Answer:

slope is 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

(4,3) (2,-7)

Put it in the equation of y2 - y1 over x2 - x1

-7-3 = -10 and 2 - 4 = -2 that will give you the fraction of -10/-2

Reduce the fraction and that will give you the answer of 5, slope = 5

In slope-intercept form it would be y - 3 = 5 (x - 4)

Hope this helps! ^^

Hi ! Does the question include an image?

Answer:

This one

Step-by-step explanation:

Help me

Answer:

First = 49/4

Second = 539

Step-by-step explanation:

The dot product is 539, and the scalar projection of a onto b is 49/4

Vector is a quantity that has both magnitude and direction.

The scalar projection of a onto b is given by

[tex]\dfrac {a.b}{|b|}[/tex]

a.b = |a| |b| cos[tex]\rm \theta[/tex]

a.b = 21 *44 *(7/12)

a.b = 539

The dot product of a and b is 539.

The scalar projection is

= 539 / 44

= 49/4

Therefore, the dot product is 539, and the scalar projection of a onto b is 49/4.

To know more about Vector

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Answer:

what to find the sum of Rs or

Answer:

If Rodgolf buys 3 comic books and 4 CDS, he payed a total of 85 dollars

Step-by-step explanation:

(wait but where is the question) Also 15 dollars or cents?

3*15= 45

4* 10= 40

45+40= 85

Answer:

Henny = (x-8) dollars

Step-by-step explanation:

Janet's has x dollars.

Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.

Henny has = (x-8) dollars

Hence, the expression that shows dollars Hanley has is (x-8).

Answer:

The answer is x=−2y+4

Step-by-step explanation:

1) Add -4y to both sides.

2x+4y+−4y=8+−4y

2x=−4y+8

Step 2: Divide both sides by 2.

2x/2=−4y+8/2

x=−2y+4

Hope this helps

Answer:

about 5.9 meters/second

Step-by-step explanation:

300 meters / 51 seconds

= 5.88

≈ 5.9

Given :

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional  $110 per hour for each hour worked over 35 hours per week.

To Find :

A cashier worked 39  hours one week and 37 hours the second week.

Show and explain to the cashier how her salary calculated in this two-week period.

Solution :

Week 1 :

For first 35 hours he will get fixed amount i.e $540.

Now, for next four hours he will get $110 per hour.

So, total salary, T = 540 + (110×(39 - 35)

T = $980

Week 2 :

Total salary, T = 540 + ( 110×( 37 - 35 ))

T = $760

Therefore, salary of two week period is $( 980 + 760 ) = $1740.

Answer:

Step-by-step explanation:

Apply the slope formula to be sure. The slope formula is

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

Filling in with our coordinates gives us:

[tex]m=\frac{-2-10}{-2-4}=\frac{-12}{-6}=2[/tex]

The slope is 2. If you don't want to use the slope formula you could just look at the line and pick 2 points the line goes through and use a slope triangle, but that's a bit more difficult to explain without the benefit of being there to point out the idiosyncrasies of it.

Answer:

256

Step-by-step explanation:

Answer:

The sign is negative

Step-by-step explanation:

Given

[tex]Expression = 3xy[/tex]

[tex]x > 0[/tex]

[tex]y<0[/tex]

Required

Determine the sign

The expression can be split into 3 factors

[tex](3) (x) (y)[/tex]

If x > 0 then x is positive and If y < 0 then y is negative

So, the expression becomes:

[tex](+3) (+x) (-y)[/tex]

Leave only signs

[tex](+) (+) (-)[/tex]

[tex]+ * + = -[/tex]

So, we have:

[tex](+*+) (-)[/tex]

[tex](+) (-)[/tex]

[tex]+ * - = -[/tex]

So, we have:

[tex](+) (-) = -[/tex]

Hence, the sign of the expression is negative

Take for instance;

[tex]x = 2[/tex]

[tex]y = -4[/tex]

The expression would be:

[tex]3 *2 * - 4 =-24[/tex] -- negative