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Tcecarenko [31]

3 years ago

8

Points A, B, C, and D are located in the order from left to right on a number line. AC = 8, BC = 90, AD = 97. If the value of po

int C is 2, what is the value of point B?

1 answer:

Zinaida [17]3 years ago

6 0

Answer:

Step-by-step explanation:

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Find the slope of the line that passes through (5, 8) and (10, 7).

igomit [66]

-1/5 y2-y1/x2-x1 have a great day

3 0

3 years ago

Solve for x. Round to the nearest hundredth

PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

$cos \ \theta=\frac{adj}{hyp}$

Substituting the values, we get;

$cos \ 45^{\circ}=\frac{6}{x}$

Simplifying, we have;

$x=\frac{6}{cos \ 45^{\circ}}$

$x=\frac{6}{0.766}$

Dividing, we get;

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Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

3 0

3 years ago

Please help. Thank you

Inessa [10]

Given:

$PQRS\sim TUVW$

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

$PQRS\sim TUVW$

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

$k=\dfrac{VW}{RS}$

$k=\dfrac{25}{35}$

$k=\dfrac{5}{7}$

Therefore, the scale factor from PQRS to TUVW is $k=\dfrac{5}{7}$ .

6 0

3 years ago

Estimate the solution to the system of equations 7x−y=7 x+2y=6 i need help

Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

<u>Algebra I</u>

Terms/Coefficients
Coordinates (x, y)
Solving systems of equations of using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

7x - y = 7

x + 2y = 6

<u>Step 2: Rewrite Systems</u>

Equation: x + 2y = 6

[Subtraction Property of Equality] Subtract 2y on both sides: x = 6 - 2y

<u>Step 3: Redefine Systems</u>

7x - y = 7

x = 6 - 2y

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

Substitute in <em>x</em>: 7(6 - 2y) - y = 7
Distribute 7: 42 - 14y - y = 7
Combine like terms: 42 - 15y = 7
[Subtraction Property of Equality] Subtract 42 on both sides: -15y = -35
[Division Property of Equality] Divide -15 on both sides: y = 7/3

<u>Step 5: Solve for </u><em><u>x</u></em>

Define original equation: x + 2y = 6
Substitute in <em>y</em>: x + 2(7/3) = 6
Multiply: x + 14/3 = 6
[Subtraction Property of Equality] Subtract 14/3 on both sides: x = 4/3

7 0

3 years ago

What is the product of (4a+6)(3a-8)

Andreyy89

Answer:

12a²-14a-48

Step-by-step explanation:

4a(3a-8) + 6(3a-8)

= 12a²-32a+18a-48

=12a²-14a-48

4 0

3 years ago