1.
Given the two equations:
y + x = 5
y-2x = -1
i)
Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.

Use your graph to determine the point of intersection.

​

Answer:

1. The applicable theorem is the midsegment theorem

y = 5 cm

Step-by-step explanation:

The given quadrilateral MATH is an isosceles trapezoid,

The bases of the isosceles trapezoid are

b₁ = [tex]\overline{MA}[/tex] and b₂ = [tex]\overline{HT}[/tex]

The median of the isosceles trapezoid = [tex]\overline{LV}[/tex]

MA = 3·y - 2

HT = 2·y + 4

LV = 8.5 cm

The midsegment theorem states that the median of a trapezoid is parallel to the bases of the trapezoid and is equal to half the length of the sum of the bases of the trapezoid

The median of a trapezoid = (1/2)×(b₁ + b₂)

Therefore, we have;

The median of the isosceles trapezoid, LV, given as follows;

LV = 8.5 = (1/2)×((3·y - 2) + (2·y + 4))

LV = 8.5 = (1/2)×(5·y + 2) =

2 × 8.5 = (5·y + 2)

17 = 5·y + 2

∴ 5·y = 17 - 2 = 15

y = 15/3 = 5

y = 5 cm

Answer:

C

Step-by-step explanation:

you need to start by plugging in -2x+4 every were it says y then solve for x when you have found x plug it into one of the equations and solve for y

Answer:

15

Step-by-step explanation:

6*2=12

20 divided by 4=5

add the two

12+5=17

17 - 2= 15

Answer:

It is mode

Step-by-step explanation:

Step-by-step explanation:

Multiply: 6 (children) • 2.15 (cost per ticket) = 12.90

Add: 12.90 + 4.90 = £17.80

Answer:

Both S=8x36 and S=36+36+36+36+36+36+36+36 apply

There are 288 seats in section C

Step-by-step explanation:

S=8x36

S=288

Answer:

the answer  is c

Step-by-step explanation:

if right pls give brainleist

Answer:

8 in approx

Step-by-step explanation:

Given data

volume = 100 cubic inches

radius= 2 inches

The expression for the volume of a cylinder is given as

v=πr^2h

substitute

100= 3.14*2^2h

100= 12.56h

h= 100/12.56

h=7.9 in

Hence the height is 8in approx

Answer:

there are infinitely many solutions

LEFT SIDE/ LEFT EQUATION: if you multiply 1 and (b + 14) together, the result becomes the numerator of the fraction (with 2 being the denominator).

Once you do that, you will notice that both sides/both equations are exactly the same.

Thus, if you put in ANY number for variable b, the solution of both sides/both equations will always be the same and work.

The answer is: "There are infinetly many solutions"

Answer:

the slope of the line is A) 2

Step-by-step explanation:

hope it helps have a wonderful day ^_^

Answer:

Answer:

The fraction of 6% is 6/10 and the model is 10 squares and only color 6 of them

YOU WELCOME :)

Answer:the fraction of 6% is 6/10

Step-by-step explanation:and the model is 10 squares and only color 6 of them

Answer: left a units, down b units

Step-by-step explanation:

The phrase which describe g(x) for parents function p(x) is:

" Graph shifts a units in negative x direction and b units in negative y direction"

The shifted origin has the coordinates (h, k). That is, the shifted X and Y axes are at distances h and k from the original X and Y axes respectively.

Here, general equation

y = cos ( x - h ) + k

where, h and k are points which shows the shifting of function on x and y axes.

On comparing general equation with given equation g(x)

so we get h = -a and k = -b.

Thus, the phrase which describe g(x) for parents function p(x) is:

" Graph shifts a units in negative x direction and b units in negative y direction".

Learn more about Shifting of origin from:

https://brainly.com/question/8829300

#SPJ2

Answer:

$393.60

Step-by-step explanation:

Answer:

BC= 5

step by step explanation

Answer:

y = 42x + 2

Step-by-step explanation:

yeah...

https://pad let.com/lil_g/ha7w6l19bzmv3cd0

Answer:

18 3/4

Step-by-step explanation:

Solve {(32)-3/4)3/4}4/5

Expand the inner parenthesis

{(32)-3/4)3/4}4/5

= {3/4(32) - (3/4)(3/4)}*4/5

= {3(8)- 9/16} * 4/5

= {24 - 9/16}* 4/5

= 4/5(24) - 4/5(9/16)

= 96/5 - 36/80

= 96/5 - 9/20

Fine the LCM

= 96(4)-9/20

= (384-9)/20

= 375/20

= 18 15/20

= 18 3/4

Hence the required result is 18 3/4

Answer:

a: (9x^3y^2)-(9x^2y^3)

Step-by-step explanation:

Step-by-step explanation:

if you are writing it in an expression then

let raju's age be = x

let daughter be = y

x = 2 (5 × y)

x = 2 (5y)

x = 10y

so if daughter is 2 years old, then

x = 10(2)

x = 20 years

Answer:

Step-by-step explanation:

71+42+BAD=180

BAD=67

Answer:

m<BAD = 67

Step-by-step explanation:

The given figure is a parallelogram. Consecutive angles in a parallelogram are supplementary, meaning that their angle measures sum up to 180 degrees. Using this, one can say,

m<D + m<A = 180

Substitute,

m<ADB + m<BDC + m<A = 180

71 + 42 + m<A = 180

113 + m<A = 180

Inverse operations,

113 + m<A = 180

-113              -113

m<A = 67

Answer:

30/34

Step-by-step explanation:

Step-by-step explanation:

they sell the same amount?

Answer:

so my calculations show that (12.1 / 9.8) - 1 =~ 0.2346938775510204081632653061224 that is about a percentage of 23.469% thank you for asking that question, oh and this answer is also on yahoo

Step-by-step explanation:

Answer: 720

Step-by-step explanation:

From the question, we are informed that cthe researches counted 400 turtles, of which 20 were marked. This implies that 20/400 = 1/20 were marked.

If the researchers wanted to track the reptile population around a lake, and the researchers marked 36 turtles, the estimate of the total population will then be:

1/20 × x = 36

x/20 = 36

x = 20 × 36

x = 720

The turtle population is 720

Answer:

7x+5 pizzas were sold.

Step-by-step explanation:

4x and 3x combine to make 7x. Since we are adding 9 and also subtracting 4, they cancel out to be adding only 5. Combine this to make 7x+5.

Answer:

The answer is 75 inches.

Step-by-step explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.

Answer:

2

Step-by-step explanation:

1600/800=2 hope it helps

Answer:

i can't see the picture!!!

Step-by-step explanation: