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3 years ago

7

Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 4 days. It costs $35 per d

ay to rent the tiler. She also buys a rake for $9. What is the change in the value of her gift card

2 answers:

Dovator [93]3 years ago

5 0

She has $149 less of what she had on the gift card.

Lena [83]3 years ago

4 0

$149 less than what she had on her gift card

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In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>

Lemur [1.5K]

In both cases,

$AB^2=AD^2$

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

$(4x+7)^2=(6x-3)^2$

$16x^2+56x+49=36x^2-36x+9$

$20x^2-92x-40=0$

$5x^2-23x-10=0$

$(5x+2)(x-5)=0\implies\boxed{x=5}$

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

$(4x^2-18x-10)^2=(x^2+x+4)^2$

$16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16$

$15x^4-146x^3+235x^2+352x+84=0$

$(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}$

(again, omit the solutions that would give a negative length for either AB or AD)

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3 years ago

What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form

Mashutka [201]

The slope of line passing through the points (4, 4) and (10, 7) is $\frac{1}{2}$

<em><u>Solution:</u></em>

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through $(x_1 , y_1)$ and $(x_2, y_2)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two points are (4, 4) and (10, 7)

$\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7$

Substituting the values in formula, we get

$\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}$

Reducing to lowest terms, we get

$m=\frac{1}{2}$

Thus slope of line passing through given points is $\frac{1}{2}$

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3 years ago

A basket contains 3/8 as many oranges as apples and three over four as many oranges as pairs what is the ratio of the number of

Gennadij [26K]

# of apples

3/8(a)=# of oranges

p=# of pears

3/4(p)=# of oranges

(3/8)a=(3/4)p

(3/8)/(3/4)=p/a

(3/8)(6/8)=p/a

3/6=p/a

1/2=p/a

the ratios of pears to apples is 1 to 2

for every 1 pear there are 2 apples

if there are 4 pears there are 8 apples

there are 8 apples

(3/8)(8)=3 oranges

there are 4 pears

(3/4)(4)=3 oranges again

8 apples, 3 oranges, 4 pears

15 pieces of fruit and 3 are oranges

ratio is 3/15=1/5

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3 years ago

A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single

34kurt

The answer is B since 6 times 12 is 72.

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4 years ago

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Scatterplot Data y 3 5 7 BO 10 10 Question: 1. Use the data in the table to create a scatterplot 2. Would a linear model be appr

Wewaii [24]

Answer:

c i think

Step-by-step explanation:

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