All categories

3 years ago

PLEASE HELP! I WILL MARK YOU AS BRAINLIEST!

Mathematics

2 answers:

Vikki [24]3 years ago

8 0

Answer:

a = 7, b = 3

Step-by-step explanation:

The area of a rectangle is base * height. Here, the area of PQRS can be written as: A = a * (9 + b), where a is the unknown base and 9 + b is the unknown height. We set this equal to 84 because that's what's given:

a(9 + b) = 84 = 9a + ab (I just distributed)

Now, we can write the area of PXYS as: a * b, where a is the unknown base and b is the unknown height. (Note that we know a is also the base of PXYS because PQRS is a rectangle and XY is parallel to QR; thus XY = QR = a). We set this equal to 21 because that's the area given:

ab = 21

Now, we can just plug in this value to our first equation:

9a + ab = 9a + 21 = 84

Solving for a, we get a = 7. We plug this back into ab = 21 and find that b = 3.

Thus, our answer is: a = 7, b = 3

lawyer [7]3 years ago

8 0

Answer:

a = 7 cm , b = 3 cm

Step-by-step explanation:

PXYS: a × b = 21

ab = 21

PQRS: a × (b + 9) = 84

ab + 9a = 84

21 + 9a = 84

9a = 63

a = 7

7b = 21

b = 3

You might be interested in

What number is greater?

lesantik [10]

10 is greater because it equals 3.162...

3 0

3 years ago

Consider a group of 1,000 newborn infants. One hundred (100) infants were born with serious birth defects, and 20 of these 100 d

kozerog [31]

Answer:

The prevalence of serious defects in this population at the time of birth is 10%.

Step-by-step explanation:

The prevalence of serious defects is the number of infants that were born with seriours birth defects divided by the total number of infants born.

In this problem, we have that:

There were 1000 newborn infants.

100 infants were born with serious birth defects.

Calculate the prevalence of serious defects in this population at the time of birth.

This is:

$P = \frac{10}{100} = 0.1$

The prevalence of serious defects in this population at the time of birth is 10%.

8 0

3 years ago

Which segment is a diameter?

Marianna [84]

Both FI and GJ are diameters.

7 0

3 years ago

Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec

IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

$x+y=2$

And we subtracted x from both sides to acquire:

$y=2-x$

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

$y=2-x\\y=-x+2$

And put some parentheses:

$y=(-1)x+(2)$

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0

3 years ago

Read 2 more answers

Samuel needs 233 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total piece of wood will Samuel n

mezya [45]

2563 beause 233×11=2563 pieces of wood

4 0

3 years ago