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ElenaW [278]
3 years ago
8

Can anyone explain to me how to get the answer and what the answer is???

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

The answer is (3,-5). Hope this helps

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Use the figure below to find the value of x and PQ.
Scilla [17]

Answer:

x=14

PQ=46

Step-by-step explanation:

PT and TQ are equal, so we can set up the equation like this: PT=TQ

23=2x-5

calculate to find x

x=14

PQ is just PT+TQ so 23+23=46

7 0
2 years ago
Just number 9 would be fine please but also if you could number 10 would help​
topjm [15]

Answer:

9. a = -7

10. x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

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

a + 6a - 14 = 3a + 6a

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Combine like terms:                    7a - 14 = 9a
  2. Subtract 7a on both sides:          -14 = 2a
  3. Divide 2 on both sides:               -7 = a
  4. Rewrite:                                         a = -7

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                   -7 + 6(-7) - 14 = 3(-7) + 6(-7)
  2. Multiply:                              -7 - 42 - 14 = -21 - 42
  3. Subtract:                             -49 - 14 = -63
  4. Subtract:                             -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

<u>Step 4: Define equation</u>

-12 - 4x = 8x + 4(1 - 7x)

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

  1. Distribute 4:                              -12 - 4x = 8x + 4 - 28x
  2. Combine like terms:                 -12 - 4x = -20x + 4
  3. Add 20x on both sides:            -12 + 16x = 4
  4. Add 12 on both sides:               16x = 16
  5. Divide 16 on both sides:            x = 1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -12 - 4(1) = 8(1) + 4(1 - 7(1))
  2. Multiply:                               -12 - 4 = 8 + 4(1 - 7)
  3. Subtract:                              -16 = 8 + 4(-6)
  4. Multiply:                               -16 = 8 - 24
  5. Subtract:                              -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

7 0
2 years ago
What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?
Leno4ka [110]
So, we know the center is at -3,-1, ok

hmmm what's the radius anyway?   well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point?  well, is the radius, let's check then.

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ -3}}\quad ,&{{ -1}})\quad &#10;%  (c,d)&#10;&({{ 1}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2}&#10;\\\\\\&#10;r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5

so, what's the equation of a circle with center at -3, -1 and a radius of 5?

\bf \textit{equation of a circle}\\\\ &#10;(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2&#10;\qquad &#10;\begin{array}{lllll}&#10;center\ (&{{ h}},&{{\quad  k}})\qquad &#10;radius=&{{ r}}\\&#10;&-3&-1&5&#10;\end{array} &#10;\\\\\\\&#10;[x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25
7 0
3 years ago
Solve the following system of equations by substitution.
jasenka [17]

Answer:

The answer is B.(5,10)

Step-by-step explanation:

1. y = 2(5)

  y = 10

2.y = -2(5)+20

  y = -10+20

  y = 10

5 0
3 years ago
Read 2 more answers
If sally got 28 questions correct and received 70% on the exam, how many questions were on the exam
Furkat [3]

Answer: 40

Step-by-step explanation:

Number of correct questions Sally got = 28 questions

Percentage of correct questions answered= 70% on the exam,

Total number of questions in the exam = Unknown

Let the total questions in the exam be represented as y.

Since Sally got 70% correctly, this will be:

70% of y = 28

70/100 × y = 28

0.7 × y = 28

0.7y = 28

Divide both side by 0.7

0.7y/0.7 = 28/0.7

y = 40

There are 40 questions in the exam.

7 0
3 years ago
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