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KengaRu [80]
2 years ago
6

WILL GIVE BRAINLIESTI NEED TO FIND X AND Y

Mathematics
1 answer:
IRISSAK [1]2 years ago
5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

Equations

7x - 7y = 7                            

-4x - 7y = - 26                          Multiply both sides of the equation by - 1

-1(-4x - 7y = - 26)

4x + 7y = 26

Solution

Add the two equations together

7x - 7y = 7      

4x + 7y = 26

11x = 33                                  Divide by 11

11x/11 = 33/11

x = 3

4x + 7y= 26                           Use this equation to solve for y. Use x = 3

4*3 + 7y = 26                        Combine the left

12 + 7y = 26                          Subtract 12 from both sides

12 - 12 + 7y = 26 - 12            Combine

7y = 14                                  Divide by 7

7y/7 = 14/7

y = 2  

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In ∆ABC with m∠C = 90° the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perim
8090 [49]
1- getting the side lengths:
We are given that the ratio between the sides is:
BC : AC : AB
4    : 3    : 5
We are also given that AC = 12 cm
We will simply use cross multiplication to find the lengths of the other two sides as follows:
BC : AC : AB
4    : 3    : 5
??  : 12  : ??
length of BC = (12*4) / 3 = 16 cm
length of AB = (12*5) / 3 = 20 cm

2- getting the perimeter of the triangle:
perimeter = AB + BC + AC
perimeter = 20 + 16 + 12
perimeter = 48 cm

3- getting the length of the hypotenuse:
We are given that angle C is the right angle in triangle ABC. The hypotenuse is the side opposite to the right angle. In our case, this side is AB.
This means that the length of the hypotenuse = AB = 20 cm

4- getting the area of the triangle:
area of triangle = 0.5 * base * height
Since the given triangle is a right-angled triangle, therefore, the base and the height are the two legs associated with the right angle.
This means that:
base = AC = 12 cm
height = BC = 16 cm
Therefore:
area of triangle = 0.5 * 12 * 16 = 96 cm²

Hope this helps :)
7 0
4 years ago
Bill makes widgets. The company he works for wants him to make as many as possible. The first 1,000 widgets he makes he receives
KATRIN_1 [288]

Answer:

1) 12500    2)62500

Step-by-step explanation:

4 0
3 years ago
A smaller circle passes through the center of, and is tangent to, a larger circle. The area of the smaller circle is 9 square un
Schach [20]

Answer:

Area of bigger circle = 36.32cm²

Step-by-step explanation:

Kindly find attached rough sketch for your reference

This problem bothers on the mensuration of flat shapes, a circle

Kindly find attached

Given data

Area of small circle =9cm³

Say we assume the all unit is in cm

From the diagram we can see that the diameter of the small circle is the radius of the bigger circle

So let us solve for the diameter of the small circle

9= πr²

r²=9/3.142

r²= 2.86

r=√2.86

r= 1.7cm

But diameter of small circle

d= 2r

d= 1.7*2= 3.4cm

Hence the radius of the bigger circle is 3.4cm

Area of bigger circle =πr²

=3.142*3.4²

=3.142*11.56

Area of bigger circle = 36.32cm²

7 0
4 years ago
Solve the system of equations algebraically
statuscvo [17]

Answer:

y = x^2 + 8x + 16

y = x + 6

x^2 + 8x + 16 = x + 6

x^2 + 7x + 10= 0

(x + 5)(x+2) = 0

x = -5

x = -2

y = (-5)^2 + 8(-5) + 16

y = 25 - 40 + 16

y = 41 - 40

y = 1

y = -5 + 6= 1

y= (-2)^2 + 8(-2) + 16

y = 4 - 16 + 16 = 4 + 0 = 4

y = -2 + 6 = 4

Point of intersection: (-2, 4)

Step-by-step explanation:

4 0
3 years ago
Please see photo below ((:
Helen [10]

Answer:

yo answer woud be b √5/4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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