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nata0808 [166]
3 years ago
13

Please help me Show your work 11 points

Mathematics
2 answers:
AlekseyPX3 years ago
7 0

Since the ratio of the sides of ABC to PQR is 4:6, the ratio of the areas of ABC to PQR is 16:36.

So 40cm2 * 36/16 = 90cm2.

ozzi3 years ago
5 0

Answer:

The area of ΔPQR = 90 cm²

Step-by-step explanation:

Points to remember

If two triangles are similar, then ratio of their areas is equal to square of ratio of their corresponding sides.

It is given that,

ΔABC ~ ΔPQR

<B = < Q

<C = <R

ar(ΔPQRC) = 40 cm²

<u>To find the area of ΔPQR</u>

We have ,

ar(ΔABC)/ar(ΔPQR) = AB/PQ

40/ar(ΔPQR)= (4/6)² = 16/36

ar(ΔPQR) =  (36 * 40)/16 = 90 cm²

Therefore area of ΔPQR = 90 cm²

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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
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Determining function values from a graph
professor190 [17]

Answer:

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.



6 0
3 years ago
Can someone help me #11 PLEASE SHOW YOUR WORK
damaskus [11]
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
    MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM. 
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
5 0
3 years ago
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zaharov [31]
The answer would be 360 square inches.
7 0
3 years ago
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Someone pls help with question 2
kirza4 [7]

Answer:

Step-by-step explanation:

5 0
3 years ago
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