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2 years ago

Please help with this question.

Mathematics

1 answer:

Anit [1.1K]2 years ago

4 0

The equation is

Area of a triangle = (1/2) · (base) · (height)

Plug in the numbers given in the question:

52 square inches = (1/2) · (base) · (13 inches)

Divide each side by (13 inches):

4 inches = (1/2) · (base)

Multiply each side by 2 :

8 inches = base

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How many solutions does this linear system have?

alexira [117]

The answer here is no solution

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1 year ago

What is 3 and 5? And show how to solve plz

nataly862011 [7]

Answer:

3. 9n + 6 = 78

5. see below

Step-by-step explanation:

Let the number of adults be n. Each adult ticket costs $9, so the cost of n adult tickets is 9n. There is only one child, and a child's ticket is $6, so the cost of the child's ticket is 6. Adding the costs, you get 9n + 6. The total cost is $78, but the expression representing the total cost is 9n + 6, so 9n + 6 must equal 78. That is the equation.

9n + 6 = 78

Sam bought equal gifts for his two children. The two gifts had the same price, x. He received a discount of $125. How much did each of the two gifts cost before the discount?

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3 years ago

Kim had 160 cards in a box.She gave 4/10 of the cards to maddy.How many cards did Kim have left in the box

Marysya12 [62]

$\text {Total cards = 160}$

$\text {Cards gave to Maddy = } \dfrac{4}{10} \times 160 = 64
$

$\text {Cards left = } 160 - 64 = 96

$

------------------------------------
Answer: Cards left = 96
------------------------------------

4 0

2 years ago

Solve 2x^2 + x - 4 = 0 <br> X2 +

damaskus [11]

Answer:

$\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }$

Step-by-step explanation:

Hello, please find below my work.

$2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0$

$\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

32 is between which two perfect squares?

katovenus [111]

Answer:

5 * 5 = 25 and 6 * 6 = 36 :)

Step-by-step explanation:

32 is between 5 * 5 = 25

and also between 6 * 6 = 36

those are both perfect squares

i hope this helps

3 0

2 years ago