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gregori [183]
3 years ago
12

Mr West has a picture that is 4 inches wide and 7

Mathematics
2 answers:
Pepsi [2]3 years ago
6 0

Answer:

Step-by-step explanation:

The ratio of new length 7 to the initial length 19 is 2.7

Therefore new width will be 2.7×4 which will be 10.9 or about 11 inches

UkoKoshka [18]3 years ago
4 0

Answer:

10  6/7 inches

Step-by-step explanation:

Ratio (k) = image/pre-image

  k= 19/7

4 x 19/7  = 76/7 = 10 6/7  

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Solve the equation by factoring. 8x^2+10x-7=0<br><br> What is the solution set?
nydimaria [60]

Answer:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Step-by-step explanation:

Given: 8x² + 10x - 7 = 0

<u>When factoring trinomials of the form ax² + bx + c</u>:

  • multiply the leading coefficient and the last term.
  • find the product factors that add to give you the coefficient of the middle term.
  • rewrite the polynomial with those factors replacing the middle term.

1. Split the middle term:

⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]

⇒ 14, -4 [find the product factors that add to the middle term's coefficient]

⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]

2. Factor by grouping:

⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]

⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]

⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]

⟹ (4x + 7)(2x - 1) = 0

3. Separate into 2 cases:

  1. 4x + 7 = 0
  2. 2x - 1 = 0

 

<u><em>Case 1:</em></u>

⇒ 4x + 7 = 0 [subtract 7 from both sides]

⇒ 4x + 7 - 7 = 0 - 7

⇒ 4x = -7 [divide both sides by 4]

⇒ 4x ÷ 4 = -7 ÷ 4

⟹ x = \bold{-\dfrac{7}{4}}

<u><em>Case 2:</em></u>

⇒ 2x - 1 = 0 [subtract 1 from both sides]

⇒ 2x - 1 + 1 = 0 + 1

⇒ 2x = 1 [divide both sides by 2]

⇒ 2x ÷ 2 = 1 ÷ 2

⟹ x = \bold{\dfrac{1}{2}}

Solutions:

\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}

Learn more about quadratic equations here:

brainly.com/question/27750885

brainly.com/question/27739892

brainly.com/question/27638369

7 0
2 years ago
Read 2 more answers
William purchased 76.9 feet of fencing for his back yard. He realized after measuring, that he still needed an additional 25.7 f
Lostsunrise [7]
William needs 102.6 fencing in all because 76.9 plus 25.7 equals 102.6, hope this helps!
3 0
3 years ago
Simplify the following numerical expressions.
Aleksandr-060686 [28]

Answer:

|7| - 7 = 0

2|-7| =  14

(-7)^2 =  49

-7-|-7|=  -14

-7-1-71= -79

Step-by-step explanation:

3 0
3 years ago
Helpmepleaseeeeeeee<br> 1.
Vedmedyk [2.9K]
1. <span><span>7 2/9</span>−<span>4 <span>2/3</span></span></span><span>=<span>2 <span>5/9</span></span></span><span>(Decimal: 2.555556)</span>
4 0
3 years ago
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A shape is covered by 40 unit squares. What is the area of the shape
ollegr [7]
Hello!

I believe that the answer would be 40²

I hope this helps!
6 0
3 years ago
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