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iogann1982 [59]
3 years ago
11

Solve the System of Equations. Show your work Y=x + 6 x + y= -2

Mathematics
1 answer:
Flauer [41]3 years ago
4 0
Substitute first Y for the second Y
So it would be x + x + 6 = -2
Then it would be 2x +6 = -2
Move the 6 over so it would be 2x =-8
Divide by 2 your answer is x = -4
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What is the midpoint of h(7,10),x(5,-8)
Scorpion4ik [409]
See attachment

then we add 7 and 5 and divide that by 2, which gives you 6 (x-coordinate)
and add 10 and -8 and divide that by 2, which gives you 1 (y-coordinate)

the answer is (6, 1)

justification
so midpoint is basically the middle point of 2 points
that's why we have to add the two x coordinates first then divide it by 2
                               or add the two y coordinates then divide it by 2

8 0
3 years ago
What is the slope of the line in the graph?
Triss [41]

Answer:

B

Step-by-step explanation:

The slope of a line is written as a fraction of the vertical distance to the horizontal distance. The line drops down from (0,1) to (4,-2). This is a vertical distance of -3 and a horizontal distance of 4. The slope if the fraction -3/4.

4 0
2 years ago
What is the solution to the equation
Dafna11 [192]
\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6

therefore
D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
Answer: t = -1.


7 0
3 years ago
Read 2 more answers
Calculate the value of b + 12.5=12
KATRIN_1 [288]

Answer:

\large\boxed{b = -0.5}

Step-by-step explanation:

Hope this helps, have a great day

3 0
3 years ago
Read 2 more answers
PLZZZ HELP BE QUICK I'LL GIVE BRAINLEST
icang [17]

Answer:

the sum is 360 degrees, which means

360 = 124 + 124 + 2x + 2x

360 = 248 + 4x

-4x = 248 - 360

-4x = -112

x = 28

Check:

124 + 124 + 2(28) + 2(28) =

360

Your answer is x = 28

let me know if you have any questions <3

4 0
3 years ago
Read 2 more answers
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