All categories

3 years ago

Please please help me!!!!!!!

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

One of these equations can be simplified to slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

You have 2y = 14 - 2x and y = -x + 7. Divide 2y = 14 - 2x by 2 to get it in slope-intercept form.

(2y)/2 = (14 - 2x)/2
y = 7 - x
y = -x + 7

After dividing 2y = 14 - 2x by 2, we see that the two equations are the same; this means their graphs are the same. Since they share infinitely many points (being the same line), this system of equations has infinitely many solutions.

You might be interested in

[URGENT] (25 points) Ryan randomly drew a marble out of a bag of marbles, then put it back. He did

Alenkasestr [34]

Answer:

Unpredictable

Step-by-step explanation:

Cuz if u look at it it is also random and u cant predict a random thing, so its quite simply unpredictable

4 0

3 years ago

In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x. A. 19 B. 38 C. 42 D. 55

Lady_Fox [76]

3X+11=125

3X=125-11

3X=114

X=114/3

X=38

So the answeris B 38

7 0

3 years ago

The triangles below are similar because of the:

STALIN [3.7K]

Answer:

ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.

Step-by-step explanation:

SSS Similarity Theorem:

Two triangles are said to be similar if their CORRESPONDING SIDES are proportional.

In ΔABC and ΔXYZ, if $\frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ}$ , then △ABC∼△YZX

Here, in ΔABC and ΔXYZ

AB = 9, BC = x , AC = 12

Similarly, XY = 3, YZ = 2, ZX = 4

Here,

$\frac{AB}{XY} = \frac{9}{3} = 3\\\frac{BC}{YZ} = \frac{x}{2} \\\frac{Ac}{Xz} = \frac{12}{4} = 3$

⇒ Corresponding sides are in the ratio of 3, if BC =6 units

Hence, if BC = 6 units, then the ΔABC and ΔXYZ are SIMILAR by SSS property of similarity.

8 0

3 years ago

A number, x, rounded to 1 decimal place is 3.7<br> Write down the error interval for x.

soldier1979 [14.2K]

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

6 0

3 years ago

P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.

Eva8 [605]

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

3 0

3 years ago