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Strike441 [17]
3 years ago
5

Find the value of the expression: −0.5(7b−12a)−(8.4a−14b) if a=−10; b=−6.

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Replace a and b in the equation with their values given:

-0.5(7(-6)-12(-10)-(8.4(-10)-14(-6))

Multiply within the parentheses

-0.5(-42 + 120) -(-84 + 84)

Add inside the parenthesis:

-0.5(78)-0

Multiply:

-.05 x 78 = -39

The answer is -39

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Solve xy-6=k for x <br><br><br> Please help me out
dedylja [7]

Answer:

\times  =  \frac{k + 6}{y}

Step-by-step explanation:

xy - 6 = k \\ xy = k + 6 \\ x =  \frac{k + 6}{y}

4 0
3 years ago
Write the equation of the line that passes through (-6,0) and is parallel to the line y=5x-43
AVprozaik [17]

The equation of the line that passes through (-6,0) and is parallel to the line y = 5x - 43 in slope intercept is y = 5x + 30

<em><u>Solution:</u></em>

Given that line that passes through (-6, 0) and is parallel to the line y = 5x - 43

We have to find the equation of line

Let us first find slope of line having equation y = 5x - 43

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing equation of line y = 5x - 43 with slope intercept form y = mx + c,

we get m = 5

Thus slope of given line is 5

We know that slopes of parallel lines are equal

Thus the slope of line parallel to given line is also 5

Now let us find equation of line having slope "5" and passes through (-6, 0)

Substitute m = 5 and (x, y) = (-6, 0) in eqn 1

y = mx + c

0 = 5(-6) + c

<h3>c = 30</h3>

<em><u>Thus the required equation is:</u></em>

Substitute c = 30 and m = 5 in eqn 1

y = 5x + 30

Thus the required equation of line is found

8 0
3 years ago
Copy the problem, mark the givens in the diagram. Given: CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC, Prove: CR ≅ HS
Veseljchak [2.6K]

Explanation:

1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given

2. ∆CRH ~ ∆HSC — AA similarity theorem

3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent

4. CH ≅ HC — reflexive property of congruence

5. ∆CRH ≅ ∆HSC — SAS congruence theorem

6. CR ≅ HS — CPCTC

6 0
3 years ago
Dominic had $500 in his wallet. He went to the nursery and purchased 8 rose bushes at $22 each, 12 evergreen shrubs at $18 each,
timurjin [86]

Answer:

176+216+75=467

500-467=33

so 33 is the answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper
galben [10]
For this case, what we are going to do is use the following property:
 Multiply an equation by a scalar.
 In this case, the scalar will be:
 k = -2
 We have then that equation 2 will be:
 k * (4x + y) = k * 1
 -2 * (4x + y) = - 2 * 1
 -8x-2y = -2
 Answer:
 The property that justifies this manipulation is:
 Multiply an equation by a scalar.
4 0
3 years ago
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