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3 years ago

The graph of the line y=4 is a

Mathematics

2 answers:

kodGreya [7K]3 years ago

8 0

Answer:

B) Horizontal line with a slope of zero.

Step-by-step explanation:

If y = 4, it never changes.

Slope = Δy/Δx, but Δy = 0, so slope = 0.

A is wrong. A vertical line has an undefined slope.

C is wrong because the line is horizontal.

D is wrong because a horizontal line has a zero slope.

The diagram shows that the graph of y=4 is a horizontal line with a slope of zero.

Roman55 [17]3 years ago

5 0

Answer is b hope this helped you

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$2,500 for 25 years at<br> 2.75% annual simple<br> interest

xxMikexx [17]

Answer:

4,218.75

Step-by-step explanation:

Lets say that P is your starting principal (spelled -pal and not -ple, because Your Money is Your Pal), r is the interest rate (expressed as a decimal), and Y is the number of years you invest. Then your future value will be:

P (1 + rY) (Simple Interest)

P (1 + r)Y (Annually Compounded Interest)

Note the two formulas give the same answer for one year. After that, compound interest takes off.

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3 years ago

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.

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

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

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

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.

$m\angle BCD=90\°$ , 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.

$m\angle JMK=180-126=54$ , 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.

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.

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

Find the missing side for each triangle below

xxTIMURxx [149]

Applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

<h3>How to Solve a Right Triangle Using Trigonometry Ratio</h3>

The Trigonometry Ratios are:

SOH - sin∅ = opp/hyp.
CAH - cos∅ = adj/hyp.
TOA - tan∅ = opp/adj.

Thus, given:

∅ = 51°

hyp = 3

adj = x

Apply, CAH:

cos 51 = x/3

x = (cos 51)(3)

x = 1.9

Thus, applying the Trigonometry ratio, CAH, the missing side is, x = 1.9.

Learn more about Trigonometry Ratio on:

brainly.com/question/4326804

4 0

2 years ago

I need help to fide m<BCA

blondinia [14]

Answer:

Step-by-step explanation:

exterior angles add up to 360 so'

9x+1+5x+12+10x-37

24x-24=360

24x=384

x=16

10(16)-37

160-37

123

180-123

= 57

4 0

3 years ago

After Mike made deposits of $32.88 and $422.73 and wrote checks for $350.00, $126.13, and $41.09, he had $249.81 in his checking

irina1246 [14]

Answer:

$311.42

Step-by-step explanation:

assuming he would have $0.00 dollars left over after the checks. add the checks together then add the deposits together then subtract.

767.03 - 455.61 = 311.42

8 0

3 years ago