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Sauron [17]
3 years ago
9

(2x-3)^2=49

^{2} = 49" alt="(2x - 3 ) ^{2} = 49" align="absmiddle" class="latex-formula">
completing the square
Mathematics
1 answer:
inna [77]3 years ago
5 0
(2x-3)^2=49\iff2x-3=\pm\sqrt{49}\\\\2x-3=-7\ \vee\ 2x-3=7\ \ \ |+3\\\\2x=-4\ \vee\ 2x=10\ \ \ \ |:2\\\\x=-2\ \vee\ x=5
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Go to https://www.mathpapa.com/algebra-calculator.html it will help you and explain how to do the problem
7 0
3 years ago
Brendan's dog has a mass of 25,700 grams. What is the dog's mass in milligrams? Show your work.
Snezhnost [94]

Answer:

25700000

Step-by-step explanation:

1,000 miligrams in a gram so 25700*1000 = 25700000

8 0
3 years ago
Please solve thank you​
S_A_V [24]

Answer:

(0, 1 )

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis

On the y- axis the x- coordinate of any point is zero

From the table when x = 0 , y = 1

Then y- intercept is (0, 1 )

3 0
3 years ago
Which equation represents the value of x? x=100−y2−−−−−−−√ x=10+y2 x=10−y x=y2+100−−−−−−−√ Right triangle A B C with angle B as
Nostrana [21]

Answer:

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

Step-by-step explanation:

Given:

ΔBC is a Right Angle Triangle at ∠ B = 90°

As ∠ B = 90° , AC will be the Hypotenuse

AC = 10 = Hypotenuse

BC = y = Longer leg ( say )

AB = x = Shorter leg ( say )

To Find :

x = ?

Solution:

In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the given values we get

10^{2}= x^{2}+y^{2} \\\\x^{2}=100-y^{2} \\\\\textrm{square rooting on both the side we get}\\\\x=\sqrt{(100-y^{2})}\\\therefore x=\sqrt{(100-y^{2})}\ \textrm{ which is the required value of x}

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

8 0
3 years ago
Find the measure of <_B. Show your work!
kakasveta [241]

Answer: 51

Step-by-step explanation:

So angle C of the triangle and the 111 degree angles next to each other are supplementary angles, so they must add up to 180.

so 111 + C = 180

C = 69 degrees

In a triangle, all three angles must add up to 180

so A + B + C = 180

we already found the value of angle C, and the equations 4y and 3y + 6 are given for angles A and B respectively, so plugging in values we get

(4y) + (3y + 6) + (69) = 180 combine like terms

7y + 75 = 180 and solve for y

7y = 105

y = 15

now that we have the value of y, we can plug it back into B = 3y + 6 to get

B = 3y + 6

B = 3(15) + 6

= 45 + 6

= <u>51</u>

6 0
4 years ago
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