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4 years ago

7

Use the figure to complete each statement. please help me out

1 answer:

Zinaida [17]4 years ago

7 0

a. 90 degrees

b perpendicular bisector

c AB

d 9

e. E AB

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For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you sub

kogti [31]

The original equation we have is : <span>−x − 2y = −10
We need to isolate the x, which means that we need to get x alone on one side of the equation preferably in a positive form.

So, going back to the original expression:
</span><span>−x − 2y = −10
To make x positive, we will add x to both sides of the equation, thus, we get:
-2y = -10 + x
The next step is to eliminate the -10 from beside the x. To do this we will add 10 to both sides of the equation. When doing this we get:
x = -2y + 10

Based on this, the correct choice is A : -2y + 10</span>

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4 years ago

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Which of the following is equivalent to

sineoko [7]

Answer:

It's the first one

Step-by-step explanation:

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3 years ago

Factorise the following quadratic equations

vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

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3 years ago

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Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals

Elena L [17]

Answer:

The approximate solution of the system of equations is the point (-2.7,2.1)

Step-by-step explanation:

we have

$y=0.5x+3.5$ -----> equation A

$y=-\frac{2}{3}x+\frac{1}{3}$ -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (-2.714,2.143)

see the attached figure

therefore

The approximate solution of the system of equations is the point (-2.7,2.1)

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3 years ago

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Find the value(s) of the variable(s). Write your answer(s) in simplest radical form.

Romashka [77]

Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

Hypotenuse² = (Leg 1)² + (Leg 2)²

x² = 7² + 7²

x² = 2(7)²

x = $\sqrt{2(7)^{2} }$

x = $7\sqrt{2}$

13). By sine rule,

sin(60)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}$

y = $\frac{18\sqrt{3} }{\sqrt{3} }$

y = 18

By cosine rule,

cos(60)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

$\frac{1}{2}=\frac{x}{y}$

x = $\frac{y}{2}$

x = $\frac{18}{2}=9$

14). By applying Pythagoras theorem in the given right triangle,

12² = x² + x²

144 = 2x²

72 = x²

x = √72

x = 6√2

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3 years ago