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3 years ago

7

Solve the following system of equations by linear combination:

1 answer:

s2008m [1.1K]3 years ago

6 0

If you add them straight down:

2d-e = 7
d + e = 5

Then the e's cancel out.

You are left with 3d = 12

Then solve for d by dividing each side by 3.

Now you have d =4.

To solve for e go back into one of your original equations and substitute 4 for the d.

You can use either equation, so I'll choose the second one.

4 + e = 5
Now solve for e by subtracting each side by 4.

Now you have e = 1.

So your solutions are d = 4 and e = 1

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If the measure of angle 3 is 80 degrees and the measurer of angle 6 is (2x)

spin [16.1K]

Answer:
X = 40
Explanation: (2x) = 80
80/2 = 40
X = 40 degrees

5 0

3 years ago

In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

4 0

3 years ago

Find the product of C =AB.<br> Cu=<br> C12=<br> C21 =<br> C22 =

serg [7]

Answer:

-1, 3, 3, -3

Step-by-step explanation:

On Edg

3 0

3 years ago

Read 2 more answers

noname [10]

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet

8 0

3 years ago

PLEASE HELP !!! THIS IS ALGEBRA 1 <333

Annette [7]

Im not sure if this is right but:

1. b
2. c
3. b
4. a
5. c

8 0

3 years ago