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3 years ago

Determine if S could lie on the perpendicular bisector of QR with the given coordinates

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

Refer to picture for answers.

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The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a

zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

$Area = \frac{1}{2}\times Base \times Height$

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

$Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0$

This is a quadratic equation which can be solved using a quadratic equation as shown below:

$h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25$

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0

3 years ago

How do you solve 3(a + 2 b) +2 ( 3a + b)

xz_007 [3.2K]

Multiply 3 to the first bracket then multiply 2 to the second bracket. 3(a+2b) + 2(3a+b) = 3a+6b+6a+2b= 9a+8b

7 0

3 years ago

Question 1 (1 point)

Galina-37 [17]

We loveeeeeee the earth it is our planet

5 0

3 years ago

13 percent of what is 78

Brums [2.3K]

13% of what is 78

"what" is the unknown, so use x for what.
"of" in math usually means a multiplication.
"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600

3 0

3 years ago

Read 2 more answers

The question, Find the image vertices for a dilation with center (0, 0) and a scale factor of 4.

Alexeev081 [22]

Answer:

Answer is A(-3/4, 1/4), B(1,3/4), C(1/2,3/4) D(1/4,1)

Step-by-step explanation:

From the attached diagram, the coordinates are:

A(-3,1), B(4,-3), C(2,3), D(1,4)

The image is gotten by dividing the coordinates by the scale factor 4 to get the above answer

4 0

3 years ago