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3 years ago

Hat is the solution to the system of equations?

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Answer:

(–19, 55)

Step-by-step explanation:

y = –3x – 2 equation 1

5x + 2y = 15 equation 2

using equation 1 in equation 2 we have:

5x + 2(–3x – 2) = 15

5x –6x – 4 = 15

-x = 15+4

x=-19

using equation 1:

y = -3(-19)- 2

y= 57-2

y= 55

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Find slopes , ill mark brainlist

zepelin [54]

Answer:

$\frac{3}{2}$ $or$ $1\frac{1}{2}$

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

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2 years ago

katovenus [111]

Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:

$\frac{ST}{XY}=\frac{TU}{YZ}=\frac{SU}{XZ}$

The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.

Therefore the correct option is B: False

If the corresponding sides are congruent, the triangles are congruent.

7 0

10 months ago

During a bike challenge, riders have to collect various colored ribbons. Each 1/2 mile they collect a red ribbon, each 1/8 mile

Oliga [24]

One red ribbon, 6 green ribbons and 3 blue ribbons total together would be 10 ribbons

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2 years ago

Dividing by 1/2 is the same as multiplying by what number

sergey [27]

Answer:

0.5

Step-by-step explanation:

7 0

3 years ago

The city park department is planning to enclose a play area with fencing. One side of the area will be against an existing build

Oksanka [162]

Answer:

The maximum rectangular area will have the length 400 meters and width 200 meters with one side of the length against an existing building.

Step-by-step explanation:

From the given information;

The perimeter of a rectangle = 2 (L+B)

here;

L = the length of the side of the fence

B = the width of the fence

So; The perimeter of a rectangle = 2L+2B

we are also being told that;

One side of the area will be against an existing building

i.e

The perimeter of a rectangle is now = L + 2B = 800 meters

L = 800 - 2B

Similarly; Area of a rectangle = L × B

Area of a rectangle = ( 800 - 2B) × B

Area of a rectangle = 800B - 2B²

assuming A(B) to represent the Area;

Then the maximum area A'(B) = 0 ;

Thus,

A'(B) = 800 - 4B = 0

-4B = - 800

4B = 800

B = 200

Therefore; the maximum area have a width = 200 meters and a length 800 - 2(200) = 800 - 400 = 400 meters

3 0

3 years ago