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3 years ago

Solve the system by substitution y=x-8 y=2x-14

Mathematics

2 answers:

IrinaK [193]3 years ago

8 0

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(<em>6,-2)</em>

Equation Form:

Step-by-step explanation:

marishachu [46]3 years ago

7 0

Answer:

x = 6

y = -2

Step-by-step explanation:

6 - 8 = -2

2 x 6 = 12 - 14 = -2

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Can I please have help with question 2) a and b

Ulleksa [173]

Answer:

$\frac{10\sqrt{6} }{3}$ and $\frac{11\sqrt{3} }{3}$

Step-by-step explanation:

(a)

A = $\frac{1}{2}$ × 4 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= 2 $\sqrt{2}$ × $\frac{5}{\sqrt{3} }$

= $\frac{10\sqrt{2} }{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

= $\frac{10\sqrt{6} }{3}$ units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4 $\sqrt{2}$ )² + ( $\frac{5}{\sqrt{3} }$ )²

= 32 + $\frac{25}{3}$

= $\frac{96}{3}$ + $\frac{25}{3}$

= $\frac{121}{3}$ ( take the square root of both sides )

h = $\sqrt{\frac{121}{3} }$ = $\frac{11}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ ← rationalise the denominator

h = $\frac{11\sqrt{3} }{3}$

7 0

2 years ago

Luis went to the bank he deposited $20 into his savings account and withdrew $40 from his checking account. Write integers to de

aliina [53]

Answer:

Savings Account: x+20

Checking Account:x-40

7 0

3 years ago

MATH-IXL , Look at the picture below to answer CORRECTLY. Only give me one right answer So i can mark yall as Brainliest!

Rom4ik [11]

The correct answer is 20 plz give me a like

8 0

2 years ago

Please help I don’t know the answer :(

gogolik [260]

Answer:

When x=8, y=-6. When x=10, y=0

Step-by-step explanation:

$y=3x-30\\x^2+y^2=100$

You can plug the given y value into the second equation to get:

$x^2+(3x-30)^2=100\\x^2+9x^2-180x+900=100\\10x^2-180x+800=0\\10(x^2-18x+80)=0\\10(x-8)(x+10)=0\\x= 8, 10\\y= -6, 0$

Hope this helps!

6 0

3 years ago

Read 2 more answers

Find the intercepts: x+5y= -5

devlian [24]

X=-5 and y=1

you would replace the letter x or y with zero to find the intercept.

5 0

2 years ago