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3 years ago

T Find the value of x. x= A 3x + 28 2x - 10 5x + 52 с B.

Mathematics

1 answer:

earnstyle [38]3 years ago

7 0

Answer:

going out on a limb here but 7

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NO LINKS!! Use the method of substitution to solve the system. (If there's no solution, enter no solution). Part 11z

Roman55 [17]

Answer:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

Step-by-step explanation:

Given system of equations:

$\begin{cases}y=x^2-9\\y=4x-4\end{cases}$

To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:

$\begin{aligned}x^2-9&=4x-4\\x^2-4x-9&=-4\\x^2-4x-5&=0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-4x-5&=0\\x^2-5x+x-5&=0\\x(x-5)+1(x-5)&=0\\(x+1)(x-5)&=0\end{aligned}$

Apply the <u>zero-product property</u> and solve for x:

$\implies x+1=0 \implies x=-1$

$\implies x-5=0 \implies x=5$

Substitute the found values of x into the <u>second equation</u> and solve for y:

$\begin{aligned}x=-1 \implies y&=4(-1)-4\\y&=-4-4\\y&=-8\end{aligned}$

$\begin{aligned}x=5 \implies y&=4(5)-4\\y&=20-4\\y&=16\end{aligned}$

Therefore, the solutions are:

$(x,y)=\left(\; \boxed{-1,-8} \; \right)\quad \textsf{(smaller $x$-value)}$

$(x,y)=\left(\; \boxed{5,16} \; \right)\quad \textsf{(larger $x$-value)}$

6 0

1 year ago

Read 2 more answers

Which angle in triangle DEF has the largest measure?

nordsb [41]

Answer:

D is the largest angle

Step-by-step explanation:

The angle opposite the largest side is the largest and the angle opposite the smallest side is the smallest.

Since 12 is the largest side, angle D is the largest

8 is the smallest side, F is the smallest angle

7 0

3 years ago

What is the value of z?

VashaNatasha [74]

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

2z - 11 = z + 50

Then subtract the z on the right side from both sides:

2z - 11 = z + 50

-z -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

+ 11 +11

________

z = 61

6 0

3 years ago

Can you solve some of these? Or all, whichever one you might know. Also explain please.

Rina8888 [55]

Here's number 5. If you need more explanation just let me know.

8 0

3 years ago

What is the coefficient of x*2

dimulka [17.4K]

X*2 = 2x

Coefficient is 2.

7 0

3 years ago

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