MATHEMATICS HIGH SCHOOL

I need help with 2,3, and 4.
Explain the answers too thx

Answers

Answer 1

Answer:

Answer:

2. G

3. Plane AGH

4. Four planes

Step-by-step explanation:

2. G is the correct answer. Planes ABC and ABI cross intersect at line AB

3. Plane AGH is parallel to the plane containing line EF

4. There are 4 planes perpendicular. Planes DCJ, DCB, BIH, and JIH are all connected to the front plane and are all parallel.

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Which two numbers add up to 27 and multiply to -160?

Answers

+ 32
and
- 5

will do that job for you.

Quadratic Equations: ax^2+bx+c=0Factor first mult. A and C then use the factors from the answer to add to B
1.) 2b^2+10b+12
2.) 3g^2+8g+4
3.) 4x^2+4x-3
4.) 8b^2-5b-10
5.) 6m^2+7m-3
6.) 10d^2+17d-20
Please Answer ASAP Show ALL WORK

Answers

quadratic equaiton is
x= $(-b- √(b^2-4ac) )/(2a)$ or $(-b+ √(b^2-4ac) )/(2a)$

just subsitute and simplify
I will only do one in detail since it takes some time

so first one2b^2+10b+12
a=2
b=10
c=12
subsitute
x= $(-10- √(10^2-4(2)(12)) )/(2(2))$ or
$(-10+ √(10^2-4(2)(12)) )/(2(2))$
pemdas

$(-10- √(10^2-4(2)(12)) )/(2(2))$
do parenthasees or inside exponents
(10^2-4(2)(12) =(100-96)=4
square root of 4=2
(-10-2)/(2 times 2)=-12/4=-3
if -10+square root then
(-10+2)/(2 times 2)=-8/4=-2
answer is
b=-3 or -2

second one
answer is g=-2 or -2/3

3rd
x=-3/2 or 1/2

4th
b= $(5- √(345) )/(16)$ or
$(5+ √(345) )/(16)$

5th
m=-3/2 or 1/3

6th
d=-5/2 or 4/5

Find the sum of the geometric series 3+12+48+...+12,288

Answers

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Find the measure of each interior angle of a regular decagon.The measure of each interior angle is
°.

Answers

Answer:

The measure of each interior angle is 144°

Step-by-step explanation:

An architect created plans for a house using a scale factor of 1:16 . In the plans, the floor of the house has an area of 7 square feet. What is area of the floor in the actual house? Enter your answer in the box.A rectangle has a length of 6 inches and a width of 3 inches.

What is the effect on the perimeter when the dimensions are multiplied by 8?

The perimeter is increased by a factor of 8.
The perimeter is increased by a factor of 24.
The perimeter is increased by a factor of 64.
The perimeter is increased by a factor of 256.

This figure is made up of a triangle and a semicircle.

What is the area of this figure?

Use 3.14 for pi. Round only your final answer to the nearest tenth.

Enter your answer, as a decimal, in the box.

Answers

Q1.the given scale factor is 1:16
the area is 7 square feet
when calculating the area the scale factor is squared as well.
since the scale factor is 16, to find out area the scale should be squared that is,
16*16 = 256

then the new area is 7 square feet * 256
actual area = 256 * 7 = 1792 square feet
Q2. the rectangle with length 6 inches and width 3 inches.
the perimeter of the rectangle before changing dimensions are;
=(6*2) + (3*2)
= 12 + 6 = 18 inches
after multiplying the dimensions by 8,
new length = 6*8 = 48 inches
new width = 3*8 = 24 inches
new perimeter = (48*2) + (24*2)
= 96 + 48
= 144 inches
the perimeter ratio from new to old = 144:18
the perimeter has increased by (144/18) times
= 144/18 = 8
answer is perimeter increased by a factor of 8

q3)
area of the triangle
= 1/2 * height * base
= 1/2 * (5-2) *(4-(-3))
= 1/2 * 3 * 7
= 10.5 units²
area of semicircle
=pi*r2
r = 2-(-1.5)
= 3.5
area = 3.14 * (3.5)²
= 38.465 units²
total area = area of triangle + area of semicircle
= 10.5 + 38.465
= 48.965
round it off to the closest tenth
area = 49 units²

The following system of equations intersects at one point. What is the y-coordinate of this point? y = -x-1 3x - 2y = 1