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vichka [17]
3 years ago
8

REALLY NEED HELP, PLEASE HELP ME

Mathematics
1 answer:
sveta [45]3 years ago
6 0

x^2 + y^2 -8x -6y +21 = 0

centre = -(-8)/2, -(-6)/2

= 4, 3

radius = √(4^2) + 3^2 - 21

= √(16 +9 -21)

= √(25 -21)

= √4

= 2

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Lubov Fominskaja [6]
The answer is A, The intersection point is (-5,3) and the equation of the graphs are y = x + 8 and x + y = -2
5 0
3 years ago
1. Amelia can do 5 sit-ups. Her goal is to increase to 50 sit-ups by adding 5 more sit-ups to her training schedule each week. A
Olegator [25]

Answer:

(i) Equation

(ii) 10 weeks

Step-by-step explanation:

The scenario is an equation and not an inequality , this is because the number of sit - ups Amelia planned to do is specific , which is 50 , had it been the question used the word like at least , at most 50 , it would have been an inequality.

The question is an example of Arithmetic sequence

From the statement ;

The first term = 5

The common difference = 5 ( since Amelia planned to add 5 more sit - ups to her training schedule each week )

The formula for the nth term of an Arithmetic sequence is given by :

t_{n} = a + (n- 1 )d

t_{n} = 50

a = 5

d = 5

n = ?

substituting the values , we have

50 = 5 + (n - 1 ) x 5

50 = 5 + 5n - 5

50 = 5n

n = 10

Therefore , it will take Amelia 10 weeks to reach her goal of 50 sit - ups

4 0
3 years ago
Rearrange the formula to make b the subject a = √((b) /4 )-2
seropon [69]

Answer:

A=12

Step-by-step explanation:

So if your equation is carrat over b you have to find 4 and -2 first then find your substitute

6 0
2 years ago
Can someone please help me ..I can’t get anymore questions wrong or else I will fail I need help
dedylja [7]

Answer:

maybe number 2

Step-by-step explanation:

because if 2+k=18 then there is no other k there and where did the additional 2 come from ?and 2k=18 then value of k is 9 + there is balance.I may be wrong correct me but i think it is no.2

5 0
3 years ago
Read 2 more answers
Unit 7 polygons & quadrilaterals homework 3: rectangles Gina Wilson answer key
Irina-Kira [14]

Answer:

In the image attached you can find the Unit 7 homework.

We need to findt he missing measures of each figure.

<h3>1.</h3>

Notice that the first figure is a rectangle, which means opposite sides are congruent so,

VY = 19

WX = 19

YX = 31

VW = 31

To find the diagonals we need to use Pythagorean's Theorem, where the diagonals are hypothenuses.

VX^{2}=19^{2}+31^{2}\\ VX=\sqrt{361+961}=\sqrt{1322}  \\VX \approx 36.36

Also, YW \approx 36.36, beacuse rectangles have congruent diagonals, which intercect equally.

That means, ZX = \frac{VX}{2} \approx \frac{36.36}{2}\approx 18.18

<h3>2.</h3>

Figure number two is also a rectangle.

If GH = 14, that means diagonal GE = 28, because diagonals intersect in equal parts.

Now, GF = 11, because rectangles have opposite sides congruent.

DF = 28, because in a reactangle, diagonals are congruent.

HF = 14, because its half of a diagonal.

To find side DG, we need to use Pythagorean's Theorem, where GE is hypothenuse

GE ^{2}=11^{2}+DG^{2}\\28^{2}-11^{2}=DG^{2}\\DG=\sqrt{784-121}=\sqrt{663}\\  DG \approx 25.75

<h3>3.</h3>

This figure is also a rectangle, which means all four interior angles are right, that is, equal to 90°, which means angle 11 and the 59° angle are complementary, so

\angle 11 +59\°=90\°\\\angle 11=90\°-59\°\\\angle 11=31\°

Now, angles 11 and 4 are alternate interior angles which are congruent, because a rectangle has opposite congruent and parallel sides.

\angle 4  = 31\°

Which means \angle 3 = 59\°, beacuse it's the complement for angle 4.

Now, \angle 6 = 59\°, because it's a base angle of a isosceles triangle. Remember that in a rectangle, diagonals are congruent, and they intersect equally, which creates isosceles triangles.

\angle 9=180-59-59=62, by interior angles theorem.

\angle 8 =62, by vertical angles theorem.

\angle 10 = 180- \angle 9=180-62=118\°, by supplementary angles.

\angle 7 = 118\°, by vertical angles theorem.

\angle 5=90-59=31, by complementary angles.

\angle 2 = \angle 5 = 31\°, by alternate interior angles.

\angle 1 = 59\°, by complementary angles.

<h3>4.</h3>

m\angle BCD=90\°, because it's one of the four interior angles of a rectangle, which by deifnition are equal to 90°.

m\angle ABD = 6\° = m\angle BDC, by alternate interior angles and by given.m\angle CBE=90-6=84, by complementary angles.

m\angle ADE=90-6=84, by complementary angles.

m\angle AEB=180-6-6=168\°, by interior angles theorem.

m\angle DEA=180-168=12, by supplementary angles.

<h3>5.</h3>

m\angle JMK=180-126=54, by supplementary angles.

m\angle JKH=\frac{180-54}{2}=\frac{126}{2}=63, by interior angles theorem, and by isosceles triangle theorem.

m\angle HLK=90\°, by definition of rectangle.

m\angle HJL=\frac{180-126}{2}=27, by interior angles theorem, and by isosceles triangle theorem.

m\angle LHK=90-27=63, by complementary angles.

m\angle = JLK= m\angle HJL=27, by alternate interior angles.

<h3>6.</h3>

The figure is a rectangle, which means its opposite sides are equal, so

WZ=XY\\7x-6=3x+14\\7x-3x=14+6\\4x=20\\x=\frac{20}{4}\\ x=5

Then, we replace this value in the expression of side WZ

WZ=7x-6=7(5)-6=35-6=29

Therefore, side WZ is 29 units long.

<h3>7.</h3>

We know that the diagonals of a rectangle are congruent, so

SQ=PR\\11x-26=5x+28\\11x-5x=28+26\\6x=54\\x=\frac{54}{6}\\ x=9

Then,

PR=5x+28=5(9)+28=45+28=73

Therefore, side PR is 73 units long.

3 0
3 years ago
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