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2 years ago

PLZ HELP WILL GIVE BRAINLIEST THANKS AND RATING PLUS 19 POINTS

1 answer:

monitta2 years ago

6 0

As the general formular for a straight line is
$y = mx + c$

m represents the gradient
c represents the point at which the line crosses the y axis.
Therefore you simply plug the numbers into the equation.
$y = 3x + 7$

You can work out whether 2 lines are perpendicular by multiplying their gradients. The product of the gradient of perpendicular lines will always be -1.
If lines are perpendicular, M1× M2 = − 1
So you can rearrange the equation to get M2=-1/M1.
As they perpendicular they have to intercept at the same point on the Y axis therefore you get the equation
$y = - \frac{1}{3}x + 7$

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Find the value of x if 7,x and 11 are in A.p.

krok68 [10]

Answer:

x = 9

Step-by-step explanation:

since the terms are in AP then there is a common difference between consecutive terms, that is

a₂ - a₁ = a₃ - a₂ ( substitute values )

x - 7 = 11 - x ( add x to both sides )

2x - 7 = 11 ( add 7 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

7 0

1 year ago

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What is the simplified form of the expression?

AleksAgata [21]

The answer is: 10 x¹³ y¹⁰ .
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1x^8 * 2y^(10) * 5x^5 =

1* 2* 5 * x^8 * x^5 * y^(10) =

10 * x^(8+5) * y^(10) =

10 * x^(13) * y^(10) = 10 x^(13) y^10 ; write as:
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10 x¹³ y¹<span>⁰ .
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6 0

3 years ago

Please help!!!!

tatyana61 [14]

Answer:

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD = $\sqrt{(-4-0)^2+(4-5)^2}$

CD = $\sqrt{(16+1)}$

= $\sqrt{17}$

Length of GH having ends G(0, -4) and H(4, -5) will be,

GH = $\sqrt{(0-4)^2+(-4+5)^2}$

= $\sqrt{16+1}$

= $\sqrt{17}$

Therefore, m(CD) = m(GH)

Similarly, we can prove all corresponding sides of two figures equal in measure.

This shows ABCD ≅ EFGH.

3 0

3 years ago

4.) solve for f(g(2))

Westkost [7]

Answer:

$f(g(2))=10$

Step-by-step explanation:

We have the two functions: $f(x)=3x-5$ and $g(x)=2+\frac{6}{x}$ .

We want to find $f(g(2))$ .

So, let's use the second function to find $g(2)$ first:

$g(2)=2+\frac{6}{2}$

Divide:

$g(2)=2+3$

Add:

$g(2)=5$

Therefore, our expression is the same to $f(g(2))=f(5)$ .

Now, we can substitute 5 for f(x). This yields:

$f(5)=3(5)-5$

Multiply:

$f(5)=15-5$

Subtract:

$f(5)=10$

So:

$f(g(2))=10$

And we're done!

3 0

3 years ago

Several batches of stew were made yesterday. Each batch required 1 2/3 pounds of meat. All together, 10 5/6 pounds of meat was u

kolezko [41]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let us see the given steps of Janice's solution to find error made by her.

1. $10\frac{5}{6}\div 1\frac{2}{3}$

We can find the number of stew batches by dividing total amount of meat used by amount of meat needed for each batch.

We have been given that $10\frac{5}{6}$ pounds of meat was used and each batch required $1\frac{2}{3}$ pounds of meat, therefore, 1st step is correct.

2. $=\frac{65}{6} \times \frac{5}{2}$

Upon converting our mixed fractions to improper fractions we will get,

$=\frac{65}{6} \times \frac{5}{3}$

We can see that Janice converted $1\frac{2}{3}$ to $\frac{5}{2}$ , which is not correct. Janice wrote 2 in the denominator of second mixed fraction instead of 3.

Janice converted a mixed number to the wrong improper fraction, therefore, option A is the correct choice.

3 0

2 years ago

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