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katrin [286]
3 years ago
6

solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2  2isabovey -10y+23=0)

Mathematics
1 answer:
labwork [276]3 years ago
4 0
y^2-10y+23=0\\
y^2-10y+25-2=0\\
(y-5)^2=2\\
|y-5|=\sqrt2\\
y-5=\sqrt 2 \vee y-5=-\sqrt2\\
y=5+\sqrt2 \vee y=5-\sqrt2


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The perimeter of a rectangle is 202. The length is 26 more than 4 times the width. Find the dimensions
jek_recluse [69]

Answer:

P = 2*(26+4y) + 4y

And if we solve for y we got:

202= 52 +8y +4y

202= 52 +12 y

And replacing we got:

150 = 12y

And we got:

y = \frac{150}{12}= 12.5

And for x we got:

x = 26 +4*12.5 = 76

So then the length would be 76 and the width we got 12.5

Step-by-step explanation:

For this case we have a rectangle. The perimeter is given by:

P= 2x+2y

Where x represent the length and y the the width. We can set the following conditions:

x = 26 +4y

And if we replace the conditions we got:

P = 2*(26+4y) + 4y

And if we solve for y we got:

202= 52 +8y +4y

202= 52 +12 y

And replacing we got:

150 = 12y

And we got:

y = \frac{150}{12}= 12.5

And for x we got:

x = 26 +4*12.5 = 76

So then the length would be 76 and the width we got 12.5

6 0
4 years ago
What is 9/1 times 7/10
Grace [21]

To multiply two fractions:

-- Multiply their numerators; the product is the numerator of the new fraction.

9 x 7 = 63 ; the new fraction is (63) / (something)

-- Multiply their denominators; the product is the denominator of the new fraction.

1 x 10 = 10 ;  the new fraction is  <em>63/10</em> .

The product of the two original fractions is  63/10 , or  <em>6.3</em>  .

6 0
3 years ago
Cristiano is saving money to buy a bike that costs $189, He saved $99 so far. He plans on saving $10 each week. In how many week
yuradex [85]

Answer:

Cristiano will have enough money to buy bike in 9 weeks.

Step-by-step explanation:

Given:

Cost of the bike = $189

Money saved = $99

Money saving each week = $10

We need to find the number of weeks will he have money to buy bike.

Solution:

Let the number of weeks be 'x'.

Now we can say that;

Money saved  plus money saving each week multiplied by number of weeks is equal to cost of the bike.

framing in equation form we get;

99+10x=189

Subtracting both side by 99 using subtraction property of equality we get;

99+10x-99=189-99\\\\10x=90

Dividing both side by 10 using division property of equality we get;

\frac{10x}{10}=\frac{90}{10}\\\\x=9\ weeks

Hence Cristiano will have enough money to buy bike in 9 weeks.

7 0
4 years ago
What is the area of the parallelogram?
Marizza181 [45]

Answer:

0.6

Step-by-step explanation:

3 0
3 years ago
Which equation can be used to solve the problem? 75 percent of what number is 150
Stolb23 [73]

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

5 0
4 years ago
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