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3 years ago

Find the value of x.

Mathematics

1 answer:

vlada-n [284]3 years ago

6 0

8 / 2 equals to 4

therefore 10 / 2 will be equal to 5

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Hey can you please help me posted picture of question

Deffense [45]

Correct answer is option D.

The solution is listed below

$F(x)=4x+7 \\ \\ 
y=4x+7 \\ \\ 
y-7=4x \\ \\ 
 \frac{y-7}{4}=x \\ \\ 
 x= \frac{y-7}{4} \\ \\ 
f-^{1}(y) = \frac{y-7}{4} \\ \\ 
f-^{1}(x) = \frac{x-7}{4} \\ \\ 
$

6 0

3 years ago

Identify the property that justifies the following statement:<br> If <1≈ <2, then <2≈<1.

Colt1911 [192]

Symmetric property of congruence.

Solution:

Given statement:

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.

<em>To identify the property used in the above statement:</em>

Let us first know some property of congruence:

Reflexive property:

The geometric figure is congruent to itself.

That is $\overline{A B} \cong \overline{A B} \text { or } \angle B \cong \angle B$ .

Symmetric property of congruence:

If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.

That is $\overline{A B} \cong \overline{C D}, \text { then } \overline{C D} \cong \overline{A B}$ .

Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

That is $\angle A\cong \angle B, \ \angle B\cong \angle C \ \text{then} \ \angle A\cong \angle C$

From the above properties, it is clear that,

If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

7 0

3 years ago

Please help, the word cut off is slope: 3

Sidana [21]

Answer:

1. y=3x-2

2. y=-1/4x+5

These equations are in slope-intercept form (y=mx+b). IN this equation m represents the slope and b represents the y intercept. Therefore, y=3x-2 and y=-1/4x+5 are correct

Step-by-step explanation:

6 0

2 years ago

Solve 5x^2 - 7x + 2 = 0 by completing the square.

Reika [66]

Answer: The correct option is (c) $\dfrac{49}{100}.$

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

$5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

$5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.$

So,

$x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.$

Thus, the required solution is $x=1,~-\dfrac{2}{5}.$ and the value of the constant added is $\dfrac{49}{100}.$

Option (c) is correct.

3 0

3 years ago

If f(x) = 3x - 2 then what is f(10)?

babymother [125]

Answer:

f(10) = 3(10) - 2 = 28

Step-by-step explanation:

6 0

2 years ago